# Two-orbital Hubbard model

You will generalize the previous study to a two-orbital problem. We will still focus on a Bethe lattice so that the DMFT self-consistency is simple. For the interaction Hamiltonian, we will consider the Hubbard-Kanamori model for two bands. The Hamiltonian consists of density-density, spin-flip and pair-hopping terms:

$H_{HK} = U \sum_{i} n_{i \uparrow} n_{i \downarrow} + (U-2J) \sum_{i \neq i'} n_{i \uparrow} n_{i' \downarrow} + (U-3J) \sum_{i < i', \sigma} n_{i \sigma} n_{i' \sigma} - J \sum_{i \neq i'} a^\dagger_{i \uparrow} a_{i \downarrow} a^\dagger_{i' \downarrow} a_{i' \uparrow} + J \sum_{i \neq i'} a^\dagger_{i \uparrow} a^\dagger_{i \downarrow} a_{i' \downarrow} a_{i' \uparrow},$

For this problem, the DMFT self-consistency still reads

${\cal G}_{0 i \sigma}^{-1} (i\omega_n) = i\omega_n + \mu - t^2 G_{i \sigma} (i\omega_n)$

Note that the Green’s functions are diagonal in spin and orbital indices.

Exercise 1

Modify the script for the single-band Hubbard model to work here. We will be interested in the half- and quarter-filled cases, for which the respective chemical potentials are:

$$\mu_{\rm half} = 0.5 U + 0.5 (U-2J) + 0.5 (U-3J)$$

$$\mu_{\rm quarter} = -0.81 + (0.6899 - 1.1099 \, J/U) U + (-0.02548 + 0.02709 \, J/U -0.1606 \, (J/U)^2) U^2$$

[1]:

# TO BE MODIFIED: Find below the previous script scripts/one_band.py

from triqs.gf import *
from triqs.operators import *
from h5 import *
from triqs_cthyb import Solver
import numpy as np

import os
if not os.path.exists('data/one_band'):
os.makedirs('data/one_band')

# Parameters of the model
t = 1.0
beta = 10.0
n_loops = 10

# Construct the impurity solver
S = Solver(beta = beta, gf_struct = [('up',1), ('down',1)] )

# I run for several values of U
for U in np.arange(1.0, 13.0):
print('U =', U)

# This is a first guess for G
S.G_iw << SemiCircular(2*t)

# DMFT loop with self-consistency
for i in range(n_loops):

print("\n\nIteration = %i / %i" % (i+1, n_loops))

# Symmetrize the Green's function and use self-consistency
g = 0.5 * ( S.G_iw['up'] + S.G_iw['down'] )
for name, g0 in S.G0_iw:
g0 << inverse( iOmega_n + U/2.0 - t**2 * g )

# Solve the impurity problem
S.solve(h_int = U * n('up',0) * n('down',0),   # Local Hamiltonian
n_cycles  = 10000,                           # Number of QMC cycles
n_warmup_cycles = 5000,                      # Warmup cycles
)

# Save iteration in archive
with HDFArchive("data/one_band/half-U%.2f.h5"%U) as A:
A['G-%i'%i] = S.G_iw
A['Sigma-%i'%i] = S.Sigma_iw

Warning: could not identify MPI environment!
U = 1.0

Iteration = 1 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-0.5*c_dag('down',0)*c('down',0) + -0.5*c_dag('up',0)*c('up',0) + 1*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:18  41% ETA 00:00:00 cycle 2083 of 5000
17:36:18 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:18  20% ETA 00:00:00 cycle 2046 of 10000
17:36:19 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00121841
Average order         | 0.000180423
Average sign          | 0.000183033
G_tau measure         | 0.0022792
Total measure time    | 0.00386106
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.134194
Move  Insert Delta_up: 0.135137
Move  Insert Delta_down: 0.133256
Move set Remove two operators: 0.134078
Move  Remove Delta_up: 0.134495
Move  Remove Delta_down: 0.13366
Move set Insert four operators: 0.0237206
Move  Insert Delta_up_up: 0.0263818
Move  Insert Delta_up_down: 0.0215067
Move  Insert Delta_down_up: 0.0192815
Move  Ins

Starting serial run at: 2023-08-28 17:36:18.568460

ert Delta_down_down: 0.0276912
Move set Remove four operators: 0.0240728
Move  Remove Delta_up_up: 0.027297
Move  Remove Delta_up_down: 0.0201105
Move  Remove Delta_down_up: 0.0206622
Move  Remove Delta_down_down: 0.0282551
Move  Shift one operator: 0.83864
[Rank 0] Warmup lasted: 0.240672 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.491363 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 8.1807
Auto-correlation time: 3.07816

Iteration = 2 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-0.5*c_dag('down',0)*c('down',0) + -0.5*c_dag('up',0)*c('up',0) + 1*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 3 / 10
Found 4 subspaces.

Warming up ...
17:36:19  41% ETA 00:00:00 cycle 2096 of 5000
17:36:19 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:19  20% ETA 00:00:00 cycle 2041 of 10000
17:36:20 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00122602
Average order         | 0.000181799
Average sign          | 0.000187614
G_tau measure         | 0.00154239
Total measure time    | 0.00313782
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.137529
Move  Insert Delta_up: 0.138608
Move  Insert Delta_down: 0.136454
Move set Remove two operators: 0.135646
Move  Remove Delta_up: 0.137095
Move  Remove Delta_down: 0.134192
Move set Insert four operators: 0.0248063
Move  Insert Delta_up_up: 0.029023
Move  Insert Delta_up_down: 0.0202982
Move  Insert Delta_down_up: 0.0212102
Move  Insert Delta_down_down: 0.0286456
Move set Remove four operators: 0.0258106
Move  Remove Delta_up_up: 0.0300133
Move  Remove Delta_up_down: 0.0207927
Move  Remove Delta_down_up: 0.0216027
Move  Remove Delta_down_down: 0.0308751
Move  Shift one operator: 0.82967
[Rank 0] Warmup lasted: 0.242133 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.496411 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 8.0726
Auto-correlation time: 2.95457

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-0.5*c_dag('down',0)*c('down',0) + -0.5*c_dag('up',0)*c('up',0) + 1*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 4 / 10
Found 4 subspaces.

Warming up ...
17:36:20  40% ETA 00:00:00 cycle 2012 of 5000
17:36:20 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:20  20% ETA 00:00:00 cycle 1999 of 10000
17:36:20 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00126701
Average order         | 0.000178569
Average sign          | 0.000182007
G_tau measure         | 0.00399153
Total measure time    | 0.00561911
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.136691
Move  Insert Delta_up: 0.136118
Move  Insert Delta_down: 0.137262
Move set Remove two operators: 0.135948
Move  Remove Delta_up: 0.135115
Move  Remove Delta_down: 0.136781
Move set Insert four operators: 0.024431
Move  Insert Delta_up_up: 0.0279642
Move  Insert Delta_up_down: 0.0212578
Move  Insert Delta_down_up: 0.021372
Move  Insert Delta_down_down: 0.0270992
Move set Remove four operators: 0.0251374
Move  Remove Delta_up_up: 0.0298838
Move  Remove Delta_up_down: 0.0205143
Move  Remove Delta_down_up: 0.0209849
Move  Remove Delta_down_down: 0.0291752
Move  Shift one operator: 0.832854
[Rank 0] Warmup lasted: 0.247163 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.502235 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 8.1617
Auto-correlation time: 1.88829

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-0.5*c_dag('down',0)*c('down',0) + -0.5*c_dag('up',0)*c('up',0) + 1*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:21  40% ETA 00:00:00 cycle 2023 of 5000
17:36:21 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:21  20% ETA 00:00:00 cycle 2072 of 10000
17:36:21 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00126531
Average order         | 0.00018556
Average sign          | 0.000181974
G_tau measure         | 0.00307852
Total measure time    | 0.00471137
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.137877
Move  Insert Delta_up: 0.13878
Move  Insert Delta_down: 0.136976
Move set Remove two operators: 0.136859
Move  Remove Delta_up: 0.137844
Move  Remove Delta_down: 0.135872
Move set Insert four operators: 0.0240401
Move  Insert Delta_up_up: 0.0279466
Move  Insert Delta_up_down: 0.0193165
Move  Insert Delta_down_up: 0.0205293
Move  Inse

Iteration = 5 / 10
rt Delta_down_down: 0.0283427
Move set Remove four operators: 0.0247222
Move  Remove Delta_up_up: 0.0272073
Move  Remove Delta_up_down: 0.0219802
Move  Remove Delta_down_up: 0.0218302
Move  Remove Delta_down_down: 0.0278651
Move  Shift one operator: 0.830322
[Rank 0] Warmup lasted: 0.246525 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.498298 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 8.1484
Auto-correlation time: 1.59076

Iteration = 6 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-0.5*c_dag('down',0)*c('down',0) + -0.5*c_dag('up',0)*c('up',0) + 1*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:21  40% ETA 00:00:00 cycle 2026 of 5000
17:36:21 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:22  20% ETA 00:00:00 cycle 2064 of 10000
17:36:22 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00124302
Average order         | 0.000183717
Average sign          | 0.000188498
G_tau measure         | 0.00344506
Total measure time    | 0.0050603
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.136129
Move  Insert Delta_up: 0.135304
Move  Insert Delta_down: 0.136951
Move set Remove two operators: 0.137127
Move  Remove Delta_up: 0.1367
Move  Remove Delta_down: 0.137554
Move set Insert four operators: 0.024601
Move  Insert Delta_up_up: 0.0281926
Move  Insert Delta_up_down: 0.0207839
Move  Insert Delta_down_up: 0.0216895
Move  Insert Delta_down_down: 0.027688
Move set Remove four operators: 0.0242563
Move  Remove Delta_up_up: 0.0271906
Move  Remove Delta_up_down: 0.0216098
Move  Remove Delta_down_up: 0.0202847
Move  Remove Delta_down_down: 0.0279555
Move  Shift one operator: 0.830414
[Rank 0] Warmup lasted: 0.242121 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.490822 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 8.1626
Auto-correlation time: 2.51126

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-0.5*c_dag('down',0)*c('down',0) + -0.5*c_dag('up',0)*c('up',0) + 1*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 7 / 10Found 4 subspaces.

Warming up ...
17:36:22  41% ETA 00:00:00 cycle 2094 of 5000
17:36:22 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:22  20% ETA 00:00:00 cycle 2046 of 10000
17:36:23 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00124401
Average order         | 0.000175229
Average sign          | 0.000179357
G_tau measure         | 0.00229849
Total measure time    | 0.00389709
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.136631
Move  Insert Delta_up: 0.137952
Move  Insert Delta_down: 0.135314
Move set Remove two operators: 0.138106
Move  Remove Delta_up: 0.13836
Move  Remove Delta_down: 0.137851
Move set Insert four operators: 0.0257115
Move  Insert Delta_up_up: 0.029352
Move  Insert Delta_up_down: 0.0212757
Move  Insert Delta_down_up: 0.0216313
Move  Inse
rt Delta_down_down: 0.030564
Move set Remove four operators: 0.0249482
Move  Remove Delta_up_up: 0.0290644
Move  Remove Delta_up_down: 0.0214022
Move  Remove Delta_down_up: 0.0207806
Move  Remove Delta_down_down: 0.0285886
Move  Shift one operator: 0.830217
[Rank 0] Warmup lasted: 0.237919 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.48821 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 8.1595
Auto-correlation time: 3.00369

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-0.5*c_dag('down',0)*c('down',0) + -0.5*c_dag('up',0)*c('up',0) + 1*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:23  41% ETA 00:00:00 cycle 2071 of 5000
17:36:23 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:23  20% ETA 00:00:00 cycle 2093 of 10000
17:36:23 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00121949
Average order         | 0.000174776
Average sign          | 0.000177332
G_tau measure         | 0.00220899
Total measure time    | 0.00378058
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.138683
Move  Insert Delta_up: 0.138785
Move  Insert Delta_down: 0.138581
Move set Remove two operators: 0.135491
Move  Remove Delta_up: 0.134835
Move  Remove Delta_down: 0.136151
Move set Insert four operators: 0.0238837
Move  Insert Delta_up_up: 0.0282195
Move  Insert Delta_up_down: 0.0187678
Move  Insert Delta_down_up: 0.0213364
Move  Insert Delta_down_down: 0.0271656
Move set Remove four operators: 0.0256944
Move  Remove Delta_up_up: 0.0296998
Move  Remove Delta_up_down: 0.0223175
Move  Remove Delta_down_up: 0.0230494
Move  Remove Delta_down_down: 0.0277512
Move  Shift one operator: 0.826742
[Rank 0] Warmup lasted: 0.240293 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.484146 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 8.0322
Auto-correlation time: 3.10339

Iteration = 8 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-0.5*c_dag('down',0)*c('down',0) + -0.5*c_dag('up',0)*c('up',0) + 1*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:24  41% ETA 00:00:00 cycle 2055 of 5000
17:36:24 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:24  20% ETA 00:00:00 cycle 2008 of 10000
17:36:24 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00122868
Average order         | 0.000178445
Average sign          | 0.000179449
G_tau measure         | 0.00223444
Total measure time    | 0.00382102
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.138506
Move  Insert Delta_up: 0.139623
Move  Insert Delta_down: 0.137394
Move set Remove two operators: 0.138454
Move  Remove Delta_up: 0.136949
Move  Remove Delta_down: 0.139969
Move set Insert four operators: 0.0253769
Move  Insert Delta_up_up: 0.0293179
Move  Insert Delta_up_down: 0.0211004
Move  Insert Delta_down_up: 0.0205091
Move  In

Iteration = 9 / 10
sert Delta_down_down: 0.0305689
Move set Remove four operators: 0.0253767
Move  Remove Delta_up_up: 0.0309133
Move  Remove Delta_up_down: 0.0217365
Move  Remove Delta_down_up: 0.0212245
Move  Remove Delta_down_down: 0.0276795
Move  Shift one operator: 0.827338
[Rank 0] Warmup lasted: 0.241515 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.487717 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 8.0508
Auto-correlation time: 2.62123

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-0.5*c_dag('down',0)*c('down',0) + -0.5*c_dag('up',0)*c('up',0) + 1*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 10 / 10
Found 4 subspaces.

Warming up ...
17:36:24  41% ETA 00:00:00 cycle 2074 of 5000
17:36:24 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:25  20% ETA 00:00:00 cycle 2058 of 10000
17:36:25 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00120751
Average order         | 0.000174187
Average sign          | 0.000178604
G_tau measure         | 0.00142541
Total measure time    | 0.00298571
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.137111
Move  Insert Delta_up: 0.138103
Move  Insert Delta_down: 0.136124
Move set Remove two operators: 0.136868
Move  Remove Delta_up: 0.136946
Move  Remove Delta_down: 0.136791
Move set Insert four operators: 0.0244609
Move  Insert Delta_up_up: 0.0282271
Move  Insert Delta_up_down: 0.0201996
Move  Insert Delta_down_up: 0.0211721
Move  Insert Delta_down_down: 0.0281887
Move set Remove four operators: 0.0246914
Move  Remove Delta_up_up: 0.0285174
Move  Remove Delta_up_down: 0.0222497
Move  Remove Delta_down_up: 0.0207763
Move  Remove Delta_down_down: 0.0272237
Move  Shift one operator: 0.831942
[Rank 0] Warmup lasted: 0.239978 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.48282 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 8.1865
Auto-correlation time: 1.6264

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-0.5*c_dag('down',0)*c('down',0) + -0.5*c_dag('up',0)*c('up',0) + 1*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
U = 2.0
Found 4 subspaces.

Warming up ...
17:36:25  41% ETA 00:00:00 cycle 2077 of 5000
17:36:25 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:25  20% ETA 00:00:00 cycle 2041 of 10000
17:36:26 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00127013
Average order         | 0.000206261
Average sign          | 0.000180197
G_tau measure         | 0.00201599
Total measure time    | 0.00367258
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.136865
Move  Insert Delta_up: 0.136144
Move  Insert Delta_down: 0.137585
Move set Remove two operators: 0.136487
Move  Remove Delta_up: 0.136087
Move  Remove Delta_down: 0.136888
Move set Insert four operators: 0.0247125
Move  Insert Delta_up_up: 0.0291157
Move  Insert Delta_up_down: 0.0200999
Move  Insert Delta_down_up: 0.0207065
Move  Insert Delta_down_down: 0.0288711
Move set Remove four operators: 0.0250504
Move  Remove Delta_up_up: 0.0279124
Move  Remove Delta_up_down: 0.0211228
Move  Remove Delta_down_up: 0.0220934
Move  Remove Delta_down_down: 0.0291107
Move  Shift one operator: 0.830829
[Rank 0] Warmup lasted: 0.24054 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.4861 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 8.1232
Auto-correlation time: 2.62633

Iteration = 1 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-1*c_dag('down',0)*c('down',0) + -1*c_dag('up',0)*c('up',0) + 2*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:26  45% ETA 00:00:00 cycle 2284 of 5000
17:36:26 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:26  22% ETA 00:00:00 cycle 2255 of 10000
17:36:26 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00123761
Average order         | 0.000177008
Average sign          | 0.000180409
G_tau measure         | 0.00124214
Total measure time    | 0.00283716
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.125473
Move  Insert Delta_up: 0.125155
Move  Insert Delta_down: 0.12579
Move set Remove two operators: 0.125671
Move  Remove Delta_up: 0.125471
Move  Remove Delta_down: 0.125871
Move set Insert four operators: 0.0246864
Move  Insert Delta_up_up: 0.0268028
Move  Insert Delta_up_down: 0.0216412
Move  Insert Delta_down_up: 0.0227946
Move  Insert Delta_down_down: 0.0274721
Move set Remove four operators: 0.0247316
Move  Remove Delta_up_up: 0.0269343
Move  Remove Delta_up_down: 0.0224071
Move  Remove Delta_down_up: 0.0220799
Move  Remove Delta_down_down: 0.0275138
Move  Shift one operator: 0.698464
[Rank 0] Warmup lasted: 0.218575 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.443867 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 7.6646
Auto-correlation time: 3.28392

Iteration = 2 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-1*c_dag('down',0)*c('down',0) + -1*c_dag('up',0)*c('up',0) + 2*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 3 / 10Found 4 subspaces.

Warming up ...
17:36:27  46% ETA 00:00:00 cycle 2314 of 5000
17:36:27 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:27  23% ETA 00:00:00 cycle 2312 of 10000
17:36:27 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00120478
Average order         | 0.000177364
Average sign          | 0.000178484
G_tau measure         | 0.00126514
Total measure time    | 0.00282577
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.130538
Move  Insert Delta_up: 0.131357
Move  Insert Delta_down: 0.129719
Move set Remove two operators: 0.130263
Move  Remove Delta_up: 0.131032
Move  Remove Delta_down: 0.129493
Move set Insert four operators: 0.0270564
Move  Insert Delta_up_up: 0.0299128
Move  Insert Delta_up_down: 0.0238143
Move  Insert Delta_down_up: 0.0254887
Move  Insert Delta_down_down: 0.0289647
Move set Remove four operators: 0.0271909
Move  Remove Delta_up_up: 0.0297328
Move  Remove Delta_up_down: 0.0259022
Move  Remove Delta_down_up: 0.0248111
Move  Remove Delta_down_down: 0.028303
Move  Shift one operator: 0.678488
[Rank 0] Warmup lasted: 0.215686 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.437622 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 7.3414
Auto-correlation time: 2.59554

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-1*c_dag('down',0)*c('down',0) + -1*c_dag('up',0)*c('up',0) + 2*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 4 / 10
Found 4 subspaces.

Warming up ...
17:36:27  46% ETA 00:00:00 cycle 2314 of 5000
17:36:27 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:27  22% ETA 00:00:00 cycle 2256 of 10000
17:36:28 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00120432
Average order         | 0.000177742
Average sign          | 0.000178896
G_tau measure         | 0.00268057
Total measure time    | 0.00424153
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.127771
Move  Insert Delta_up: 0.128914
Move  Insert Delta_down: 0.12663
Move set Remove two operators: 0.128221
Move  Remove Delta_up: 0.129491
Move  Remove Delta_down: 0.12695
Move set Insert four operators: 0.0256648
Move  Insert Delta_up_up: 0.0283026
Move  Insert Delta_up_down: 0.0233949
Move  Insert Delta_down_up: 0.0232993
Move  Insert Delta_down_down: 0.0276514
Move set Remove four operators: 0.0258822
Move  Remove Delta_up_up: 0.0277958
Move  Remove Delta_up_down: 0.0234759
Move  Remove Delta_down_up: 0.0250552
Move  Remove Delta_down_down: 0.0272286
Move  Shift one operator: 0.684272
[Rank 0] Warmup lasted: 0.217683 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.44214 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 7.4618
Auto-correlation time: 2.75014

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-1*c_dag('down',0)*c('down',0) + -1*c_dag('up',0)*c('up',0) + 2*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 5 / 10Found 4 subspaces.

Warming up ...
17:36:28  46% ETA 00:00:00 cycle 2304 of 5000
17:36:28 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:28  22% ETA 00:00:00 cycle 2294 of 10000
17:36:28 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00122231
Average order         | 0.000187478
Average sign          | 0.000183211
G_tau measure         | 0.00135477
Total measure time    | 0.00294777
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.131699
Move  Insert Delta_up: 0.130628
Move  Insert Delta_down: 0.13277
Move set Remove two operators: 0.130431
Move  Remove Delta_up: 0.129478
Move  Remove Delta_down: 0.131386
Move set Insert four operators: 0.0271569
Move  Insert Delta_up_up: 0.0281887
Move  Insert Delta_up_down: 0.0258805
Move  Insert Delta_down_up: 0.024888
Move  Inse
rt Delta_down_down: 0.0296566
Move set Remove four operators: 0.0275519
Move  Remove Delta_up_up: 0.0287468
Move  Remove Delta_up_down: 0.0255961
Move  Remove Delta_down_up: 0.0253231
Move  Remove Delta_down_down: 0.0305499
Move  Shift one operator: 0.672073
[Rank 0] Warmup lasted: 0.215632 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.436025 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 7.2379
Auto-correlation time: 2.34046

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-1*c_dag('down',0)*c('down',0) + -1*c_dag('up',0)*c('up',0) + 2*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 6 / 10Found 4 subspaces.

Warming up ...
17:36:29  46% ETA 00:00:00 cycle 2308 of 5000
17:36:29 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:29  22% ETA 00:00:00 cycle 2293 of 10000
17:36:29 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00123141
Average order         | 0.000177542
Average sign          | 0.000178821
G_tau measure         | 0.00140636
Total measure time    | 0.00299413
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.131567
Move  Insert Delta_up: 0.133715
Move  Insert Delta_down: 0.129426
Move set Remove two operators: 0.130663
Move  Remove Delta_up: 0.13311
Move  Remove Delta_down: 0.128214
Move set Insert four operators: 0.0276007
Move  Insert Delta_up_up: 0.0306565
Move  Insert Delta_up_down: 0.0254948
Move  Insert Delta_down_up: 0.025725
Move  Inse
rt Delta_down_down: 0.0285063
Move set Remove four operators: 0.0284674
Move  Remove Delta_up_up: 0.0316303
Move  Remove Delta_up_down: 0.0252882
Move  Remove Delta_down_up: 0.0267753
Move  Remove Delta_down_down: 0.0301962
Move  Shift one operator: 0.677651
[Rank 0] Warmup lasted: 0.216824 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.439615 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 7.2701
Auto-correlation time: 2.43454

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-1*c_dag('down',0)*c('down',0) + -1*c_dag('up',0)*c('up',0) + 2*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 7 / 10Found 4 subspaces.

Warming up ...
17:36:29  46% ETA 00:00:00 cycle 2299 of 5000
17:36:29 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:29  22% ETA 00:00:00 cycle 2264 of 10000
17:36:30 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00118916
Average order         | 0.000176917
Average sign          | 0.000176414
G_tau measure         | 0.00128476
Total measure time    | 0.00282725
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.127818
Move  Insert Delta_up: 0.127863
Move  Insert Delta_down: 0.127773
Move set Remove two operators: 0.128597
Move  Remove Delta_up: 0.128824
Move  Remove Delta_down: 0.12837
Move set Insert four operators: 0.0270821
Move  Insert Delta_up_up: 0.0302706
Move  Insert Delta_up_down: 0.0244285
Move  Insert Delta_down_up: 0.0250341
Move  Insert Delta_down_down: 0.0285486
Move set Remove four operators: 0.0268681
Move  Remove Delta_up_up: 0.029369
Move  Remove Delta_up_down: 0.0251997
Move  Remove Delta_down_up: 0.0249889
Move  Remove Delta_down_down: 0.0279296
Move  Shift one operator: 0.680676
[Rank 0] Warmup lasted: 0.218647 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.440596 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 7.4495
Auto-correlation time: 4.93486

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-1*c_dag('down',0)*c('down',0) + -1*c_dag('up',0)*c('up',0) + 2*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 8 / 10
Found 4 subspaces.

Warming up ...
17:36:30  45% ETA 00:00:00 cycle 2273 of 5000
17:36:30 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:30  22% ETA 00:00:00 cycle 2245 of 10000
17:36:30 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00127285
Average order         | 0.000182139
Average sign          | 0.000183024
G_tau measure         | 0.00171741
Total measure time    | 0.00335542
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.128634
Move  Insert Delta_up: 0.128384
Move  Insert Delta_down: 0.128883
Move set Remove two operators: 0.129022
Move  Remove Delta_up: 0.12886
Move  Remove Delta_down: 0.129184
Move set Insert four operators: 0.0264743
Move  Insert Delta_up_up: 0.0287922
Move  Insert Delta_up_down: 0.0235365
Move  Insert Delta_down_up: 0.0237667
Move  Insert Delta_down_down: 0.0297869
Move set Remove four operators: 0.026674
Move  Remove Delta_up_up: 0.0276172
Move  Remove Delta_up_down: 0.0253356
Move  Remove Delta_down_up: 0.0249358
Move  Remove Delta_down_down: 0.0288193
Move  Shift one operator: 0.681544
[Rank 0] Warmup lasted: 0.218576 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.440496 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 7.4043
Auto-correlation time: 2.96938

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-1*c_dag('down',0)*c('down',0) + -1*c_dag('up',0)*c('up',0) + 2*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:31  45% ETA 00:00:00 cycle 2292 of 5000
17:36:31 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:31  22% ETA 00:00:00 cycle 2296 of 10000
17:36:31 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00121937
Average order         | 0.000173054
Average sign          | 0.000177333
G_tau measure         | 0.00127057
Total measure time    | 0.00284032
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.132223
Move  Insert Delta_up: 0.132401
Move  Insert Delta_down: 0.132044
Move set Remove two operators: 0.129861
Move  Remove Delta_up: 0.12952
Move  Remove Delta_down: 0.130201
Move set Insert four operators: 0.0269862
Move  Insert Delta_up_up: 0.0305089
Move  Insert Delta_up_down: 0.0243726
Move  Insert Delta_down_up: 0.0237724
Move  Ins

Iteration = 9 / 10
ert Delta_down_down: 0.0292517
Move set Remove four operators: 0.0282147
Move  Remove Delta_up_up: 0.0309872
Move  Remove Delta_up_down: 0.0276375
Move  Remove Delta_down_up: 0.0263264
Move  Remove Delta_down_down: 0.0279213
Move  Shift one operator: 0.677678
[Rank 0] Warmup lasted: 0.216506 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.437101 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 7.242
Auto-correlation time: 2.74536

Iteration = 10 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-1*c_dag('down',0)*c('down',0) + -1*c_dag('up',0)*c('up',0) + 2*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:31  46% ETA 00:00:00 cycle 2312 of 5000
17:36:31 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:31  23% ETA 00:00:00 cycle 2325 of 10000
17:36:32 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00127472
Average order         | 0.000172614
Average sign          | 0.000177763
G_tau measure         | 0.00117997
Total measure time    | 0.00280507
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.130937
Move  Insert Delta_up: 0.132246
Move  Insert Delta_down: 0.12963
Move set Remove two operators: 0.131236
Move  Remove Delta_up: 0.132046
Move  Remove Delta_down: 0.130424
Move set Insert four operators: 0.0276569
Move  Insert Delta_up_up: 0.0298347
Move  Insert Delta_up_down: 0.0258974
Move  Insert Delta_down_up: 0.0245561
Move  Insert Delta_down_down: 0.0303272
Move set Remove four operators: 0.0277909
Move  Remove Delta_up_up: 0.0306308
Move  Remove Delta_up_down: 0.0249253
Move  Remove Delta_down_up: 0.0255935
Move  Remove Delta_down_down: 0.0300287
Move  Shift one operator: 0.675164
[Rank 0] Warmup lasted: 0.215985 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.432564 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 7.2563
Auto-correlation time: 4.01083

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-1*c_dag('down',0)*c('down',0) + -1*c_dag('up',0)*c('up',0) + 2*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
U =Found 4 subspaces.

Warming up ...
17:36:32  46% ETA 00:00:00 cycle 2300 of 5000
17:36:32 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:32  23% ETA 00:00:00 cycle 2318 of 10000
17:36:33 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00120759
Average order         | 0.000175362
Average sign          | 0.000180967
G_tau measure         | 0.00117891
Total measure time    | 0.00274283
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.131003
Move  Insert Delta_up: 0.131509
Move  Insert Delta_down: 0.1305
Move set Remove two operators: 0.130783
Move  Remove Delta_up: 0.130729
Move  Remove Delta_down: 0.130837
Move set Insert four operators: 0.0263867
Move  Insert Delta_up_up: 0.0290737
Move  Insert Delta_up_down: 0.0231511
Move  Insert Delta_down_up: 0.0250389
Move  Inse 3.0
rt Delta_down_down: 0.0282522
Move set Remove four operators: 0.0267621
Move  Remove Delta_up_up: 0.0297348
Move  Remove Delta_up_down: 0.0242209
Move  Remove Delta_down_up: 0.0247709
Move  Remove Delta_down_down: 0.0283461
Move  Shift one operator: 0.67701
[Rank 0] Warmup lasted: 0.215519 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.43658 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 7.3268
Auto-correlation time: 0.794236

Iteration = 1 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-1.5*c_dag('down',0)*c('down',0) + -1.5*c_dag('up',0)*c('up',0) + 3*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 2 / 10
Found 4 subspaces.

Warming up ...
17:36:33  49% ETA 00:00:00 cycle 2498 of 5000
17:36:33 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:33  24% ETA 00:00:00 cycle 2484 of 10000
17:36:33 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00119638
Average order         | 0.000171907
Average sign          | 0.000178944
G_tau measure         | 0.00109991
Total measure time    | 0.00264714
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.112247
Move  Insert Delta_up: 0.113798
Move  Insert Delta_down: 0.110696
Move set Remove two operators: 0.111523
Move  Remove Delta_up: 0.11241
Move  Remove Delta_down: 0.110636
Move set Insert four operators: 0.0226176
Move  Insert Delta_up_up: 0.0237627
Move  Insert Delta_up_down: 0.0205814
Move  Insert Delta_down_up: 0.0218449
Move  Insert Delta_down_down: 0.0242896
Move set Remove four operators: 0.0232029
Move  Remove Delta_up_up: 0.0245147
Move  Remove Delta_up_down: 0.022101
Move  Remove Delta_down_up: 0.0226071
Move  Remove Delta_down_down: 0.0235938
Move  Shift one operator: 0.568929
[Rank 0] Warmup lasted: 0.199267 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.399275 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 7.0545
Auto-correlation time: 2.35299

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-1.5*c_dag('down',0)*c('down',0) + -1.5*c_dag('up',0)*c('up',0) + 3*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 3 / 10
Found 4 subspaces.

Warming up ...
17:36:33  53% ETA 00:00:00 cycle 2696 of 5000
17:36:33 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:33  26% ETA 00:00:00 cycle 2670 of 10000
17:36:34 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00120833
Average order         | 0.000195012
Average sign          | 0.000184797
G_tau measure         | 0.00111078
Total measure time    | 0.00269892
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.119575
Move  Insert Delta_up: 0.118774
Move  Insert Delta_down: 0.120375
Move set Remove two operators: 0.118525
Move  Remove Delta_up: 0.117625
Move  Remove Delta_down: 0.119424
Move set Insert four operators: 0.0260688
Move  Insert Delta_up_up: 0.0249124
Move  Insert Delta_up_down: 0.0259468
Move  Insert Delta_down_up: 0.028224
Move  Insert Delta_down_down: 0.0251899
Move set Remove four operators: 0.0267536
Move  Remove Delta_up_up: 0.026036
Move  Remove Delta_up_down: 0.0281528
Move  Remove Delta_down_up: 0.0270466
Move  Remove Delta_down_down: 0.0257593
Move  Shift one operator: 0.509178
[Rank 0] Warmup lasted: 0.185284 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.376047 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 6.1244
Auto-correlation time: 3.95588

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-1.5*c_dag('down',0)*c('down',0) + -1.5*c_dag('up',0)*c('up',0) + 3*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:34  53% ETA 00:00:00 cycle 2684 of 5000
17:36:34 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:34  26% ETA 00:00:00 cycle 2678 of 10000
17:36:34 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00121023
Average order         | 0.000178375
Average sign          | 0.000180273
G_tau measure         | 0.00104384
Total measure time    | 0.00261271
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.116787
Move  Insert Delta_up: 0.116187
Move  Insert Delta_down: 0.117384
Move set Remove two operators: 0.116633
Move  Remove Delta_up: 0.116475
Move  Remove Delta_down: 0.11679
Move set Insert four operators: 0.0259455
Move  Insert Delta_up_up: 0.026201
Move  Insert Delta_up_down: 0.0258814
Move  Insert Delta_down_up: 0.0264806
Move  Insert Delta_down_down: 0.0252178
Move set Remove four operators: 0.0264393
Move  Remove Delta_up_up: 0.0269715
Move  Remove Delta_up_down: 0.0248916
Move  Remove Delta_down_up: 0.026979
Move  Remove Delta_down_down: 0.0269331
Move  Shift one operator: 0.520079
[Rank 0] Warmup lasted: 0.18574 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.377745 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 6.2308
Auto-correlation time: 5.61951

Iteration = 4 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-1.5*c_dag('down',0)*c('down',0) + -1.5*c_dag('up',0)*c('up',0) + 3*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 5 / 10
Found 4 subspaces.

Warming up ...
17:36:34  53% ETA 00:00:00 cycle 2683 of 5000
17:36:35 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:35  26% ETA 00:00:00 cycle 2661 of 10000
17:36:35 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00118682
Average order         | 0.000179021
Average sign          | 0.000177377
G_tau measure         | 0.000954406
Total measure time    | 0.00249762
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.119259
Move  Insert Delta_up: 0.118998
Move  Insert Delta_down: 0.11952
Move set Remove two operators: 0.11786
Move  Remove Delta_up: 0.11722
Move  Remove Delta_down: 0.118509
Move set Insert four operators: 0.0262007
Move  Insert Delta_up_up: 0.0247214
Move  Insert Delta_up_down: 0.0280183
Move  Insert Delta_down_up: 0.0277204
Move  Insert Delta_down_down: 0.0243335
Move set Remove four operators: 0.0270037
Move  Remove Delta_up_up: 0.0264473
Move  Remove Delta_up_down: 0.0269378
Move  Remove Delta_down_up: 0.0272082
Move  Remove Delta_down_down: 0.027421
Move  Shift one operator: 0.514142
[Rank 0] Warmup lasted: 0.185126 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.375112 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 6.1344
Auto-correlation time: 5.42356

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-1.5*c_dag('down',0)*c('down',0) + -1.5*c_dag('up',0)*c('up',0) + 3*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 6 / 10
Found 4 subspaces.

Warming up ...
17:36:35  53% ETA 00:00:00 cycle 2687 of 5000
17:36:35 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:35  26% ETA 00:00:00 cycle 2634 of 10000
17:36:35 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00118086
Average order         | 0.000177055
Average sign          | 0.000180533
G_tau measure         | 0.00158726
Total measure time    | 0.00312571
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.12076
Move  Insert Delta_up: 0.121218
Move  Insert Delta_down: 0.120303
Move set Remove two operators: 0.121201
Move  Remove Delta_up: 0.121831
Move  Remove Delta_down: 0.120573
Move set Insert four operators: 0.0267368
Move  Insert Delta_up_up: 0.026411
Move  Insert Delta_up_down: 0.0274809
Move  Insert Delta_down_up: 0.0270616
Move  Insert Delta_down_down: 0.0260013
Move set Remove four operators: 0.0265407
Move  Remove Delta_up_up: 0.025342
Move  Remove Delta_up_down: 0.0281685
Move  Remove Delta_down_up: 0.0271009
Move  Remove Delta_down_down: 0.0255323
Move  Shift one operator: 0.515457
[Rank 0] Warmup lasted: 0.18502 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.378509 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 6.1383
Auto-correlation time: 3.12987

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-1.5*c_dag('down',0)*c('down',0) + -1.5*c_dag('up',0)*c('up',0) + 3*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 7 / 10
Found 4 subspaces.

Warming up ...
17:36:36  52% ETA 00:00:00 cycle 2643 of 5000
17:36:36 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:36  26% ETA 00:00:00 cycle 2664 of 10000
17:36:36 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.0012663
Average order         | 0.000184783
Average sign          | 0.000189254
G_tau measure         | 0.00362876
Total measure time    | 0.0052691
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.117368
Move  Insert Delta_up: 0.117308
Move  Insert Delta_down: 0.117427
Move set Remove two operators: 0.117241
Move  Remove Delta_up: 0.116591
Move  Remove Delta_down: 0.117894
Move set Insert four operators: 0.0261457
Move  Insert Delta_up_up: 0.0261487
Move  Insert Delta_up_down: 0.0253525
Move  Insert Delta_down_up: 0.0266688
Move  Insert Delta_down_down: 0.0264136
Move set Remove four operators: 0.0265045
Move  Remove Delta_up_up: 0.0252665
Move  Remove Delta_up_down: 0.0275678
Move  Remove Delta_down_up: 0.0282901
Move  Remove Delta_down_down: 0.024888
Move  Shift one operator: 0.512693
[Rank 0] Warmup lasted: 0.187877 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.38964 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 6.1385
Auto-correlation time: 3.93431

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-1.5*c_dag('down',0)*c('down',0) + -1.5*c_dag('up',0)*c('up',0) + 3*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:36  54% ETA 00:00:00 cycle 2704 of 5000
17:36:36 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:36  25% ETA 00:00:00 cycle 2590 of 10000
17:36:37 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00119782
Average order         | 0.000175158
Average sign          | 0.000179523
G_tau measure         | 0.00180878
Total measure time    | 0.00336127
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.117365
Move  Insert Delta_up: 0.117624
Move  Insert Delta_down: 0.117106
Move set Remove two operators: 0.117283
Move  Remove Delta_up: 0.118533
Move  Remove Delta_down: 0.116037
Move set Insert four operators: 0.026697
Move  Insert Delta_up_up: 0.0264597
Move  Insert Delta_up_down: 0.0273612
Move  Insert Delta_down_up: 0.0266847
Move  Insert Delta_down_down: 0.0262799
Move set Remove four operators: 0.0270184
Move  Remove Delta_up_up: 0.0264397
Move  Remove Delta_up_down: 0.0271184
Move  Remove Delta_down_up: 0.0268783
Move  Remove Delta_down_down: 0.0276341
Move  Shift one operator: 0.514539
[Rank 0] Warmup lasted: 0.185398 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.379588 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 6.1263
Auto-correlation time: 1.74038

Iteration = 8 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-1.5*c_dag('down',0)*c('down',0) + -1.5*c_dag('up',0)*c('up',0) + 3*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 9 / 10
Found 4 subspaces.

Warming up ...
17:36:37  53% ETA 00:00:00 cycle 2685 of 5000
17:36:37 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:37  25% ETA 00:00:00 cycle 2596 of 10000
17:36:37 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00116657
Average order         | 0.000178551
Average sign          | 0.000180033
G_tau measure         | 0.00131102
Total measure time    | 0.00283617
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.116924
Move  Insert Delta_up: 0.117617
Move  Insert Delta_down: 0.116232
Move set Remove two operators: 0.118121
Move  Remove Delta_up: 0.119441
Move  Remove Delta_down: 0.116798
Move set Insert four operators: 0.0269091
Move  Insert Delta_up_up: 0.0271326
Move  Insert Delta_up_down: 0.025719
Move  Insert Delta_down_up: 0.029214
Move  Insert Delta_down_down: 0.0255767
Move set Remove four operators: 0.0263473
Move  Remove Delta_up_up: 0.0264778
Move  Remove Delta_up_down: 0.0261575
Move  Remove Delta_down_up: 0.0262325
Move  Remove Delta_down_down: 0.0265242
Move  Shift one operator: 0.520462
[Rank 0] Warmup lasted: 0.185252 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.383034 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 6.2418
Auto-correlation time: 2.82905

Iteration = 10 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-1.5*c_dag('down',0)*c('down',0) + -1.5*c_dag('up',0)*c('up',0) + 3*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:37  51% ETA 00:00:00 cycle 2560 of 5000
17:36:37 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:38  26% ETA 00:00:00 cycle 2609 of 10000
17:36:38 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00121845
Average order         | 0.000179815
Average sign          | 0.000202924
G_tau measure         | 0.0021689
Total measure time    | 0.00377008
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.119297
Move  Insert Delta_up: 0.120148
Move  Insert Delta_down: 0.118445
Move set Remove two operators: 0.118649
Move  Remove Delta_up: 0.119257
Move  Remove Delta_down: 0.11804
Move set Insert four operators: 0.0254296
Move  Insert Delta_up_up: 0.0260036
Move  Insert Delta_up_down: 0.0235786
Move  Insert Delta_down_up: 0.0265909
Move  Insert Delta_down_down: 0.0255261
Move set Remove four operators: 0.0261909
Move  Remove Delta_up_up: 0.0270227
Move  Remove Delta_up_down: 0.0257851
Move  Remove Delta_down_up: 0.0259396
Move  Remove Delta_down_down: 0.0260241
Move  Shift one operator: 0.522949
[Rank 0] Warmup lasted: 0.190266 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.388758 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 6.3131
Auto-correlation time: 3.33377

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-1.5*c_dag('down',0)*c('down',0) + -1.5*c_dag('up',0)*c('up',0) + 3*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
U = 4.0
Found 4 subspaces.

Warming up ...
17:36:38  51% ETA 00:00:00 cycle 2549 of 5000
17:36:38 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:38  23% ETA 00:00:00 cycle 2363 of 10000
17:36:38 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00129221
Average order         | 0.000192149
Average sign          | 0.000188825
G_tau measure         | 0.00803591
Total measure time    | 0.0097091
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.119166
Move  Insert Delta_up: 0.117673
Move  Insert Delta_down: 0.120666
Move set Remove two operators: 0.119688
Move  Remove Delta_up: 0.11855
Move  Remove Delta_down: 0.120824
Move set Insert four operators: 0.0250876
Move  Insert Delta_up_up: 0.025384
Move  Insert Delta_up_down: 0.024949
Move  Insert Delta_down_up: 0.0252735
Move  Insert Delta_down_down: 0.0247464
Move set Remove four operators: 0.0252292
Move  Remove Delta_up_up: 0.0248425
Move  Remove Delta_up_down: 0.0247179
Move  Remove Delta_down_up: 0.0271435
Move  Remove Delta_down_down: 0.0242195
Move  Shift one operator: 0.507301
[Rank 0] Warmup lasted: 0.195011 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.40592 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 6.1319
Auto-correlation time: 1.78747

Iteration = 1 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-2*c_dag('down',0)*c('down',0) + -2*c_dag('up',0)*c('up',0) + 4*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 2 / 10
Found 4 subspaces.

Warming up ...
17:36:39  54% ETA 00:00:00 cycle 2734 of 5000
17:36:39 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:39  28% ETA 00:00:00 cycle 2815 of 10000
17:36:39 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00119336
Average order         | 0.00017397
Average sign          | 0.000173595
G_tau measure         | 0.00108587
Total measure time    | 0.00262679
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.10269
Move  Insert Delta_up: 0.100883
Move  Insert Delta_down: 0.104505
Move set Remove two operators: 0.102024
Move  Remove Delta_up: 0.101145
Move  Remove Delta_down: 0.102906
Move set Insert four operators: 0.0199348
Move  Insert Delta_up_up: 0.0203415
Move  Insert Delta_up_down: 0.0208978
Move  Insert Delta_down_up: 0.020635
Move  Insert Delta_down_down: 0.0178728
Move set Remove four operators: 0.0204535
Move  Remove Delta_up_up: 0.0205254
Move  Remove Delta_up_down: 0.0194903
Move  Remove Delta_down_up: 0.022088
Move  Remove Delta_down_down: 0.0197157
Move  Shift one operator: 0.460326
[Rank 0] Warmup lasted: 0.180869 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.359313 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 6.2466
Auto-correlation time: 3.60183

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-2*c_dag('down',0)*c('down',0) + -2*c_dag('up',0)*c('up',0) + 4*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up .

Iteration = 3 / 10..
17:36:39  66% ETA 00:00:00 cycle 3327 of 5000
17:36:39 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:39  32% ETA 00:00:00 cycle 3220 of 10000
17:36:40 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00117142
Average order         | 0.000177189
Average sign          | 0.000180591
G_tau measure         | 0.00234315
Total measure time    | 0.00387235
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.110834
Move  Insert Delta_up: 0.111457
Move  Insert Delta_down: 0.110211
Move set Remove two operators: 0.110152
Move  Remove Delta_up: 0.110913
Move  Remove Delta_down: 0.109392
Move set Insert four operators: 0.0245707
Move  Insert Delta_up_up: 0.0213173
Move  Insert Delta_up_down: 0.0271374
Move  Insert Delta_down_up: 0.0288638
Move  Insert Delta_down_down: 0.0209527

Move set Remove four operators: 0.0252332
Move  Remove Delta_up_up: 0.0219842
Move  Remove Delta_up_down: 0.027412
Move  Remove Delta_down_up: 0.02984
Move  Remove Delta_down_down: 0.021649
Move  Shift one operator: 0.347207
[Rank 0] Warmup lasted: 0.15062 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.312381 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 4.5515
Auto-correlation time: 4.66685

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-2*c_dag('down',0)*c('down',0) + -2*c_dag('up',0)*c('up',0) + 4*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:40  68% ETA 00:00:00 cycle 3418 of 5000
17:36:40 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:40  33% ETA 00:00:00 cycle 3354 of 10000
17:36:40 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00119055
Average order         | 0.000173035
Average sign          | 0.000182784
G_tau measure         | 0.00180668
Total

Iteration = 4 / 10
measure time    | 0.00335305
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.109566
Move  Insert Delta_up: 0.110312
Move  Insert Delta_down: 0.108824
Move set Remove two operators: 0.109807
Move  Remove Delta_up: 0.109229
Move  Remove Delta_down: 0.110382
Move set Insert four operators: 0.0245849
Move  Insert Delta_up_up: 0.0203437
Move  Insert Delta_up_down: 0.0290226
Move  Insert Delta_down_up: 0.0286879
Move  Insert Delta_down_down: 0.0202673
Move set Remove four operators: 0.0245634
Move  Remove Delta_up_up: 0.0216013
Move  Remove Delta_up_down: 0.0291177
Move  Remove Delta_down_up: 0.0286001
Move  Remove Delta_down_down: 0.0188474
Move  Shift one operator: 0.32021
[Rank 0] Warmup lasted: 0.145208 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.299348 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 4.2622
Auto-correlation time: 4.56478

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:

Iteration = 5 / 10
-2*c_dag('down',0)*c('down',0) + -2*c_dag('up',0)*c('up',0) + 4*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:40  67% ETA 00:00:00 cycle 3379 of 5000
17:36:40 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:40  34% ETA 00:00:00 cycle 3452 of 10000
17:36:41 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.0011805
Average order         | 0.000181326
Average sign          | 0.000179286
G_tau measure         | 0.0028098
Total measure time    | 0.00435092
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.10985
Move  Insert Delta_up: 0.110689
Move  Insert Delta_down: 0.109008
Move set Remove two operators: 0.108916
Move  Remove Delta_up: 0.110303
Move  Remove Delta_down: 0.107539
Move set Insert four operators: 0.0246851
Move  Insert Delta_up_up: 0.0198646
Move  Insert Delta_up_down: 0.0291511
Move  Insert Delta_down_up: 0.0290647
Move  Insert Delta_down_down: 0.0206731
Move set Remove four operators: 0.0254268
Move  Remove Delta_up_up: 0.0218722
Move  Remove Delta_up_down: 0.0289571
Move  Remove Delta_down_up: 0.0286299
Move  Remove Delta_down_down: 0.0222124
Move  Shift one operator: 0.311403
[Rank 0] Warmup lasted: 0.147042 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.294083 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 4.1267
Auto-correlation time: 2.44771

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-2*c_dag('down',0)*c('down',0) + -2*c_dag('up',0)*c('up',0) + 4*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 6 / 10
Found 4 subspaces.

Warming up ...
17:36:41  68% ETA 00:00:00 cycle 3416 of 5000
17:36:41 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:41  34% ETA 00:00:00 cycle 3399 of 10000
17:36:41 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00117656
Average order         | 0.00018061
Average sign          | 0.000181128
G_tau measure         | 0.00213807
Total measure time    | 0.00367637
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.108138
Move  Insert Delta_up: 0.108557
Move  Insert Delta_down: 0.107721
Move set Remove two operators: 0.107349
Move  Remove Delta_up: 0.10754
Move  Remove Delta_down: 0.107159
Move set Insert four operators: 0.0241131
Move  Insert Delta_up_up: 0.0196703
Move  Insert Delta_up_down: 0.0286151
Move  Insert Delta_down_up: 0.0286033
Move  Insert Delta_down_down: 0.0195795
Move set Remove four operators: 0.0246752
Move  Remove Delta_up_up: 0.0211784
Move  Remove Delta_up_down: 0.0280695
Move  Remove Delta_down_up: 0.0287669
Move  Remove Delta_down_down: 0.0205929
Move  Shift one operator: 0.304464
[Rank 0] Warmup lasted: 0.147427 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.29027 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 4.0936
Auto-correlation time: 5.29194

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-2*c_dag('down',0)*c('down',0) + -2*c_dag('up',0)*c('up',0) + 4*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:41  70% ETA 00:00:00 cycle 3511 of 5000
17:36:41 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:41  34% ETA 00:00:00 cycle 3491 of 10000
17:36:41 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00114259
Average order         | 0.000175433
Average sign          | 0.000179077
G_tau measure         | 0.00242444
Total measure time    | 0.00392154
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.10962
Move  Insert Delta_up: 0.109395
Move  Insert Delta_down: 0.109845
Move set Remove two operators: 0.109451
Move  Remove Delta_up: 0.109748
Move  Remove Delta_down: 0.109154
Move set Insert four operators: 0.0249161
Move  Insert Delta_up_up: 0.0216244
Move  Insert Delta_up_down: 0.0291868
Move  Insert Delta_down_up: 0.0285771
Move  Ins

Iteration = 7 / 10
ert Delta_down_down: 0.0203135
Move set Remove four operators: 0.0252576
Move  Remove Delta_up_up: 0.0204928
Move  Remove Delta_up_down: 0.0309103
Move  Remove Delta_down_up: 0.0297791
Move  Remove Delta_down_down: 0.0197803
Move  Shift one operator: 0.302655
[Rank 0] Warmup lasted: 0.142606 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.287607 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 4.059
Auto-correlation time: 2.68458

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-2*c_dag('down',0)*c('down',0) + -2*c_dag('up',0)*c('up',0) + 4*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 8 / 10
Found 4 subspaces.

Warming up ...
17:36:42  69% ETA 00:00:00 cycle 3489 of 5000
17:36:42 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:42  33% ETA 00:00:00 cycle 3391 of 10000
17:36:42 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00117954
Average order         | 0.00018076
Average sign          | 0.000176842
G_tau measure         | 0.00274281
Total measure time    | 0.00427996
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.109167
Move  Insert Delta_up: 0.108878
Move  Insert Delta_down: 0.109457
Move set Remove two operators: 0.108529
Move  Remove Delta_up: 0.108384
Move  Remove Delta_down: 0.108673
Move set Insert four operators: 0.0251343
Move  Insert Delta_up_up: 0.0216667
Move  Insert Delta_up_down: 0.0298085
Move  Insert Delta_down_up: 0.0295327
Move  Insert Delta_down_down: 0.0194249
Move set Remove four operators: 0.0255293
Move  Remove Delta_up_up: 0.0224029
Move  Remove Delta_up_down: 0.0305386
Move  Remove Delta_down_up: 0.0293344
Move  Remove Delta_down_down: 0.0197125
Move  Shift one operator: 0.300808
[Rank 0] Warmup lasted: 0.144613 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.288052 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 3.9724
Auto-correlation time: 2.14536

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-2*c_dag('down',0)*c('down',0) + -2*c_dag('up',0)*c('up',0) + 4*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:42  71% ETA 00:00:00 cycle 3551 of 5000
17:36:42 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:42  35% ETA 00:00:00 cycle 3575 of 10000
17:36:42 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.0011946
Average order         | 0.000173127
Average sign          | 0.000178696
G_tau measure         | 0.000725342
Total measure time    | 0.00227176
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.10916
Move  Insert Delta_up: 0.109252
Move  Insert Delta_down: 0.109067
Move set Remove two operators: 0.110798
Move  Remove Delta_up: 0.111607
Move  Remove Delta_down: 0.109984
Move set Insert four operators: 0.0252051
Move  Insert Delta_up_up: 0.0218661
Move  Insert Delta_up_down: 0.0287308
Move  Insert Delta_down_up: 0.0302921
Move  In

Iteration = 9 / 10
sert Delta_down_down: 0.0199362
Move set Remove four operators: 0.0245902
Move  Remove Delta_up_up: 0.0197972
Move  Remove Delta_up_down: 0.0288953
Move  Remove Delta_down_up: 0.0308568
Move  Remove Delta_down_down: 0.0187846
Move  Shift one operator: 0.298548
[Rank 0] Warmup lasted: 0.140103 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.282513 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 3.9563
Auto-correlation time: 5.49552

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-2*c_dag('down',0)*c('down',0) + -2*c_dag('up',0)*c('up',0) + 4*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:42  68% ETA 00:00:00 cycle 3442 of 5000
17:36:43 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:43  34% ETA 00:00:00 cycle 3488 of 10000
17:36:43 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00116768
Average order         | 0.000183687
Average sign          | 0.000177624
G_tau measure         | 0.00147453
Total measure time    | 0.00300352
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.107424
Move  Insert Delta_up: 0.105809
Move  Insert Delta_down: 0.109051
Move set Remove two operators: 0.108968
Move  Remove Delta_up: 0.108578
Move  Remove Delta_down: 0.109357
Move set Insert four operators: 0.024976
Move  Insert Delta_up_up: 0.0210199
Move  Insert Delta_up_down: 0.0283776
Move  Insert Delta_down_up: 0.0301075
Move  Insert Delta_down_down: 0.0203983
Move set Remove four operators: 0.0244054
Move  Remove Delta_up_up: 0.0201315
Move  Remove Delta_up_down: 0.0293393
Move  Remove Delta_down_up: 0.0275322
Move  Remove Delta_down_down: 0.0205381
Move  Shift one operator: 0.295469
[Rank 0] Warmup lasted: 0.14504 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.283466 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 3.9659
Auto-correlation time: 5.57761

Iteration = 10 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-2*c_dag('down',0)*c('down',0) + -2*c_dag('up',0)*c('up',0) + 4*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
U = 5.0
Found 4 subspaces.

Warming up ...
17:36:43  71% ETA 00:00:00 cycle 3593 of 5000
17:36:43 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:43  35% ETA 00:00:00 cycle 3578 of 10000
17:36:43 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00119755
Average order         | 0.000171298
Average sign          | 0.000178299
G_tau measure         | 0.000705123
Total measure time    | 0.00225227
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.109572
Move  Insert Delta_up: 0.109969
Move  Insert Delta_down: 0.109176
Move set Remove two operators: 0.108779
Move  Remove Delta_up: 0.110629
Move  Remove Delta_down: 0.106946
Move set Insert four operators: 0.025333
Move  Insert Delta_up_up: 0.0219449
Move  Insert Delta_up_down: 0.0308511
Move  Insert Delta_down_up: 0.0284571
Move  Insert Delta_down_down: 0.020084
Move set Remove four operators: 0.0258108
Move  Remove Delta_up_up: 0.0222851
Move  Remove Delta_up_down: 0.0286898
Move  Remove Delta_down_up: 0.0299628
Move  Remove Delta_down_down: 0.0222489
Move  Shift one operator: 0.300119
[Rank 0] Warmup lasted: 0.139701 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.28036 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 3.9498
Auto-correlation time: 2.22266

Iteration = 1 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-2.5*c_dag('down',0)*c('down',0) + -2.5*c_dag('up',0)*c('up',0) + 5*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:43  62% ETA 00:00:00 cycle 3104 of 5000
17:36:43 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:44  31% ETA 00:00:00 cycle 3133 of 10000
17:36:44 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00121134
Average order         | 0.000183093
Average sign          | 0.00017673
G_tau measure         | 0.000906627
Total measure time    | 0.0024778
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0934283
Move  Insert Delta_up: 0.0932668
Move  Insert Delta_down: 0.0935907
Move set Remove two operators: 0.0930836
Move  Remove Delta_up: 0.092358
Move  Remove Delta_down: 0.0938117
Move set Insert four operators: 0.0172868
Move  Insert Delta_up_up: 0.0159668
Move  Insert Delta_up_down: 0.0180807
Move  Insert Delta_down_up: 0.0190679
Mov

Iteration = 2 / 10e  Insert Delta_down_down: 0.0160378
Move set Remove four operators: 0.0178545
Move  Remove Delta_up_up: 0.0169909
Move  Remove Delta_up_down: 0.0189613
Move  Remove Delta_down_up: 0.0198869
Move  Remove Delta_down_down: 0.0155637
Move  Shift one operator: 0.37
[Rank 0] Warmup lasted: 0.158822 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.319168 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 5.5225
Auto-correlation time: 7.04599

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-2.5*c_dag('down',0)*c('down',0) + -2.5*c_dag('up',0)*c('up',0) + 5*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 3 / 10
Found 4 subspaces.

Warming up ...
17:36:44  83% ETA 00:00:00 cycle 4197 of 5000
17:36:44 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:44  40% ETA 00:00:00 cycle 4072 of 10000
17:36:44 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.001176
Average order         | 0.000176303
Average sign          | 0.000176643
G_tau measure         | 0.00180564
Total measure time    | 0.00333458
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0993743
Move  Insert Delta_up: 0.0997124
Move  Insert Delta_down: 0.0990345
Move set Remove two operators: 0.100148
Move  Remove Delta_up: 0.101078
Move  Remove Delta_down: 0.0992169
Move set Insert four operators: 0.0218489
Move  Insert Delta_up_up: 0.0174252
Move  Insert Delta_up_down: 0.0266929
Move  Insert Delta_down_up: 0.0274607
Move

Iteration = 4 / 10  Insert Delta_down_down: 0.0158329
Move set Remove four operators: 0.0214816
Move  Remove Delta_up_up: 0.0163185
Move  Remove Delta_up_down: 0.0269219
Move  Remove Delta_down_up: 0.0273557
Move  Remove Delta_down_down: 0.0153002
Move  Shift one operator: 0.220527
[Rank 0] Warmup lasted: 0.119323 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.244041 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 3.2385
Auto-correlation time: 1.45713

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-2.5*c_dag('down',0)*c('down',0) + -2.5*c_dag('up',0)*c('up',0) + 5*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:44  92% ETA 00:00:00 cycle 4643 of 5000
17:36:44 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:44  45% ETA 00:00:00 cycle 4501 of 10000
17:36:44 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00117401
Average order         | 0.000176022
Average sign          | 0.000174079
G_tau measure         | 0.000579364
Total measure time    | 0.00210348
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0982657
Move  Insert Delta_up: 0.0973164
Move  Insert Delta_down: 0.0992208
Move set Remove two operators: 0.0987098
Move  Remove Delta_up: 0.0983834
Move  Remove Delta_down: 0.0990353
Move set Insert four operators: 0.0202451
Move  Insert Delta_up_up: 0.015387
Move  Insert Delta_up_down: 0.0256575
Move  Insert Delta_down_up: 0.0253815
Move  Insert Delta_dow
n_down: 0.0146119
Move set Remove four operators: 0.0200653
Move  Remove Delta_up_up: 0.0153902
Move  Remove Delta_up_down: 0.0249793
Move  Remove Delta_down_up: 0.025014
Move  Remove Delta_down_down: 0.0147525
Move  Shift one operator: 0.17415
[Rank 0] Warmup lasted: 0.107687 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.217982 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 2.68
Auto-correlation time: 3.62833

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-2.5*c_dag('down',0)*c('down',0) + -2.5*c_dag('up',0)*c('up',0) + 5*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:45  98% ETA 00:00:00 cycle 4923 of 5000
17:36:45 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:45  48% ETA 00:00:00 cycle 4800 of 10000
17:36:45 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00119368
Average order         | 0.000175437
Average sign          | 0.00017678
G_tau measure         | 0.000532081
Total measure time    | 0.00207798
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0947289
Move  Insert Delta_up: 0.0935515
Move  Insert Delta_down: 0.0959141
Move set Remove two operators: 0.096231
Move  Remove Delta_up: 0.0961732
Move  Remove Delta_down: 0.0962883
Move set Insert four operators: 0.017825
Move  Insert Delta_up_up: 0.0147368
Move  Insert Delta_up_down: 0.0225432
Move  Insert Delta_down_up: 0.0209947
Move  Insert Delta_down_down: 0.012999
Move set Remove four operators: 0.0170501
Move  Remove Delta_up_up: 0.0140059
Move  Remove Delta_up_down: 0.0210924
Move  Remove Delta_down_up: 0.0203299
Move  Remove Delta_down_down: 0.0127166
Move  Shift one operator: 0.15403
[Rank 0] Warmup lasted: 0.101398 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.205843 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9996
Average order: 2.4483
Auto-correlation time: 3.78104

Iteration = 5 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-2.5*c_dag('down',0)*c('down',0) + -2.5*c_dag('up',0)*c('up',0) + 5*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 6 / 10
Found 4 subspaces.

Warming up ...
17:36:45 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:45  50% ETA 00:00:00 cycle 5020 of 10000
17:36:45 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00114739
Average order         | 0.00017381
Average sign          | 0.000178013
G_tau measure         | 0.000545071
Total measure time    | 0.00204428
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0927996
Move  Insert Delta_up: 0.0912686
Move  Insert Delta_down: 0.0943404
Move set Remove two operators: 0.0945209
Move  Remove Delta_up: 0.0935476
Move  Remove Delta_down: 0.0954924
Move set Insert four operators: 0.0165653
Move  Insert Delta_up_up: 0.0146711
Move  Insert Delta_up_down: 0.0186621
Move  Insert Delta_down_up: 0.0196094
Move  Insert Delta_down_down: 0.0133023
Move set Remove four operators: 0.0159569
Move  Remove Delta_up_up: 0.0145658
Move  Remove Delta_up_down: 0.0187106
Move  Remove Delta_down_up: 0.0171739
Move  Remove Delta_down_down: 0.0133664
Move  Shift one operator: 0.141392
[Rank 0] Warmup lasted: 0.0971904 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.198948 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9986
Average order: 2.3498
Auto-correlation time: 1.59359

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-2.5*c_dag('down',0)*c('down',0) + -2.5*c_dag('up',0)*c('up',0) + 5*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:45 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:45  51% ETA 00:00:00 cycle 5111 of 10000
17:36:45 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00118152
Average order         | 0.000174143
Average sign          | 0.000175604
G_tau measure         | 0.00170096
Total measure time    | 0.00323222
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0928359
Move  Insert Delta_up: 0.0932811
Move  Insert Delta_down: 0.0923878
Move set Remove two operators: 0.0926255
Move  Remove Delta_up: 0.0928757
Move  Remove Delta_down: 0.092377
Move set Insert four operators: 0.0146763
Move  Insert Delta_up_up: 0.012186
Move  Insert Delta_up_down: 0.0176325
Move  Insert Delta_down_up: 0.016766
Move  Insert Delta_down_down: 0.0121195
Move set Re

Iteration = 7 / 10
move four operators: 0.0149209
Move  Remove Delta_up_up: 0.0131733
Move  Remove Delta_up_down: 0.017507
Move  Remove Delta_down_up: 0.017798
Move  Remove Delta_down_down: 0.0111765
Move  Shift one operator: 0.132209
[Rank 0] Warmup lasted: 0.0976131 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.194463 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9962
Average order: 2.2003
Auto-correlation time: 4.38459

Iteration = 8 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-2.5*c_dag('down',0)*c('down',0) + -2.5*c_dag('up',0)*c('up',0) + 5*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:46 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:46  52% ETA 00:00:00 cycle 5262 of 10000
17:36:46 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00116593
Average order         | 0.000180144
Average sign          | 0.000180288
G_tau measure         | 0.00058201
Total measure time    | 0.00210837
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0928416
Move  Insert Delta_up: 0.0906576
Move  Insert Delta_down: 0.0950149
Move set Remove two operators: 0.0920252
Move  Remove Delta_up: 0.0907245
Move  Remove Delta_down: 0.0933179
Move set Insert four operators: 0.013903
Move  Insert Delta_up_up: 0.0125541
Move  Insert Delta_up_down: 0.0153914
Move  Insert Delta_down_up: 0.0162744
Move  Insert Delta_down_down: 0.0113805
Move set Remove four operators: 0.0144144
Move  Remove Delta_up_up: 0.0126455
Move  Remove Delta_up_down: 0.0165371
Move  Remove Delta_down_up: 0.0155525
Move  Remove Delta_down_down: 0.0128903
Move  Shift one operator: 0.125583
[Rank 0] Warmup lasted: 0.0940647 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.188429 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9966
Average order: 2.0978
Auto-correlation time: 2.6759

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-2.5*c_dag('down',0)*c('down',0) + -2.5*c_dag('up',0)*c('up',0) + 5*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:46 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:46  52% ETA 00:00:00 cycle 5211 of 10000
17:36:46 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00116479
Average order         | 0.000173907
Average sign          | 0.000176399
G_tau measure         | 0.000532991
Total measure time    | 0.00204808
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0919096
Move  Insert Delta_up: 0.0916205
Move  Insert Delta_down: 0.0921987
Move set Remove two operators: 0.0927888
Move  Remove Delta_up: 0.0930645
Move  Remove Delta_down: 0.0925146
Move set Insert four operators: 0.0144265
Move  Insert Delta_up_up: 0.0127007
Move  Insert Delta_up_down: 0.0166647
Move  Insert Delta_down_up: 0.0163973
Move  Insert Delta_down_down: 0.0119593
Move set Remove four operators: 0.0141665
Move  Remove Delta_up_up: 0.0122729
Move  Remove Delta_up_down: 0.0168521
Move  Remove Delta_down_up: 0.0155449
Move  Remove Delta_down_down: 0.0119799
Move  Shift one operator: 0.129702
[Rank 0] Warmup lasted: 0.094935 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.190139 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9904
Average order: 2.1729
Auto-correlation time: 2.37016

Iteration = 9 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-2.5*c_dag('down',0)*c('down',0) + -2.5*c_dag('up',0)*c('up',0) + 5*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 10 / 10
Found 4 subspaces.

Warming up ...
17:36:46 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:46  52% ETA 00:00:00 cycle 5241 of 10000
17:36:46 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00117719
Average order         | 0.000175777
Average sign          | 0.000177851
G_tau measure         | 0.000601851
Total measure time    | 0.00213267
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0924057
Move  Insert Delta_up: 0.0915808
Move  Insert Delta_down: 0.0932353
Move set Remove two operators: 0.0931618
Move  Remove Delta_up: 0.0928729
Move  Remove Delta_down: 0.0934482
Move set Insert four operators: 0.0143961
Move  Insert Delta_up_up: 0.0125352
Move  Insert Delta_up_down: 0.0161123
Move  Insert Delta_down_up: 0.0168691
Move  Insert Delta_down_down: 0.0120458
Move set Remove four operators: 0.0142763
Move  Remove Delta_up_up: 0.0131137
Move  Remove Delta_up_down: 0.0156373
Move  Remove Delta_down_up: 0.0161881
Move  Remove Delta_down_down: 0.0121205
Move  Shift one operator: 0.126835
[Rank 0] Warmup lasted: 0.0933722 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.192358 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9932
Average order: 2.1737
Auto-correlation time: 3.14348

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-2.5*c_dag('down',0)*c('down',0) + -2.5*c_dag('up',0)*c('up',0) + 5*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:47  99% ETA 00:00:00 cycle 4994 of 5000
17:36:47 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:47  48% ETA 00:00:00 cycle 4864 of 10000
17:36:47 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00118008
Average order         | 0.000178815
Average sign          | 0.000177486
G_tau measure         | 0.00366987
Total measure time    | 0.00520625
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0920425
Move  Insert Delta_up: 0.0909091
Move  Insert Delta_down: 0.0931849
Move set Remove two operators: 0.0924267
Move  Remove Delta_up: 0.0933546
Move  Remove Delta_down: 0.091505
Move set Insert four operators: 0.0137666
Move  Insert Delta_up_up: 0.012333
Move  Insert Delta_up_down: 0.0161586
Move  Insert Delta_down_up: 0.0154218
Move  Insert Delta_down_down: 0.0111436
Move set Remove four operators: 0.0139227
Move  Remove Delta_up_up: 0.0114924
Move  Remove Delta_up_down: 0.0157556
Move  Remove Delta_down_up: 0.0157009
Move  Remove Delta_down_down: 0.0127152
Move  Shift one operator: 0.129222
[Rank 0] Warmup lasted: 0.100126 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.201704 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9968
Average order: 2.1866
Auto-correlation time: 2.15122
U = 6.0

Iteration = 1 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-3*c_dag('down',0)*c('down',0) + -3*c_dag('up',0)*c('up',0) + 6*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 2 / 10
Found 4 subspaces.

Warming up ...
17:36:47  67% ETA 00:00:00 cycle 3398 of 5000
17:36:47 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:47  34% ETA 00:00:00 cycle 3460 of 10000
17:36:47 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00124187
Average order         | 0.000178268
Average sign          | 0.000178552
G_tau measure         | 0.00207588
Total measure time    | 0.00367458
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0855862
Move  Insert Delta_up: 0.0862303
Move  Insert Delta_down: 0.0849443
Move set Remove two operators: 0.0862647
Move  Remove Delta_up: 0.0861289
Move  Remove Delta_down: 0.0864004
Move set Insert four operators: 0.0161327
Move  Insert Delta_up_up: 0.0135714
Move  Insert Delta_up_down: 0.0190244
Move  Insert Delta_down_up: 0.0183747
Move  Insert Delta_down_down: 0.0135908
Move set Remove four operators: 0.016286
Move  Remove Delta_up_up: 0.0142857
Move  Remove Delta_up_down: 0.0191166
Move  Remove Delta_down_up: 0.0189973
Move  Remove Delta_down_down: 0.0126796
Move  Shift one operator: 0.300009
[Rank 0] Warmup lasted: 0.146407 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.293905 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 4.785
Auto-correlation time: 5.47307

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:

Iteration = 3 / 10-3*c_dag('down',0)*c('down',0) + -3*c_dag('up',0)*c('up',0) + 6*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:47  93% ETA 00:00:00 cycle 4679 of 5000
17:36:47 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:47  47% ETA 00:00:00 cycle 4715 of 10000
17:36:48 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.0012242
Average order         | 0.000183404
Average sign          | 0.000184269
G_tau measure         | 0.00114776
Total measure time    | 0.00273964
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0903981
Move  Insert Delta_up: 0.0901523
Move  Insert Delta_down: 0.090646
Move set Remove two operators: 0.0904723
Move  Remove Delta_up: 0.0912343
Move  Remove Delt
a_down: 0.0897165
Move set Insert four operators: 0.0165848
Move  Insert Delta_up_up: 0.0118808
Move  Insert Delta_up_down: 0.0210818
Move  Insert Delta_down_up: 0.0219767
Move  Insert Delta_down_down: 0.0114437
Move set Remove four operators: 0.016681
Move  Remove Delta_up_up: 0.0124508
Move  Remove Delta_up_down: 0.0208665
Move  Remove Delta_down_up: 0.0211651
Move  Remove Delta_down_down: 0.0121752
Move  Shift one operator: 0.143248
[Rank 0] Warmup lasted: 0.107062 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.214947 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 2.4458
Auto-correlation time: 2.54242

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:

Iteration = 4 / 10-3*c_dag('down',0)*c('down',0) + -3*c_dag('up',0)*c('up',0) + 6*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:48 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:48  55% ETA 00:00:00 cycle 5544 of 10000
17:36:48 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00114817
Average order         | 0.000177973
Average sign          | 0.000178907
G_tau measure         | 0.000659669
Total measure time    | 0.00216472
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0857364
Move  Insert Delta_up: 0.0845932
Move  Insert Delta_down: 0.0868874
Move set Remove two operators: 0.0848534
Move  Remove Delta_up: 0.0837722
Move  Remove Delta_down: 0.0859277
Move set Insert four opera
tors: 0.0134187
Move  Insert Delta_up_up: 0.0102856
Move  Insert Delta_up_down: 0.0163494
Move  Insert Delta_down_up: 0.0164149
Move  Insert Delta_down_down: 0.0106362
Move set Remove four operators: 0.0138114
Move  Remove Delta_up_up: 0.0111514
Move  Remove Delta_up_down: 0.0171747
Move  Remove Delta_down_up: 0.0166038
Move  Remove Delta_down_down: 0.0102768
Move  Shift one operator: 0.105283
[Rank 0] Warmup lasted: 0.0887984 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.178604 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9994
Average order: 1.9382
Auto-correlation time: 2.24137

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-3*c_dag('down',0)*c('down',0) + -3*c_dag('up',0)*c('up',0) + 6*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 5 / 10
Found 4 subspaces.

Warming up ...
17:36:48 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:48  58% ETA 00:00:00 cycle 5892 of 10000
17:36:48 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00115656
Average order         | 0.000172163
Average sign          | 0.000171354
G_tau measure         | 0.000511025
Total measure time    | 0.0020111
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0813375
Move  Insert Delta_up: 0.0807074
Move  Insert Delta_down: 0.0819679
Move set Remove two operators: 0.0805692
Move  Remove Delta_up: 0.0807933
Move  Remove Delta_down: 0.0803457
Move set Insert four operators: 0.0106639
Move  Insert Delta_up_up: 0.00997202
Move  Insert Delta_up_down: 0.0117378
Move  Insert Delta_down_up: 0.0126783
Move  Insert Delta_down_down: 0.00827334
Move set Remove four operators: 0.010986
Move  Remove Delta_up_up: 0.0102901
Move  Remove Delta_up_down: 0.011223
Move  Remove Delta_down_up: 0.0124831
Move  Remove Delta_down_down: 0.00993179
Move  Shift one operator: 0.0924834
[Rank 0] Warmup lasted: 0.0846274 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.167454 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9994
Average order: 1.7817
Auto-correlation time: 2.85936

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-3*c_dag('down',0)*c('down',0) + -3*c_dag('up',0)*c('up',0) + 6*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:48 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:48  60% ETA 00:00:00 cycle 6006 of 10000
17:36:48 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00115569
Average order         | 0.000178144
Average sign          | 0.000176416
G_tau measure         | 0.000650654
Total measure time    | 0.0021609
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0807803
Move  Insert Delta_up: 0.0806915
Move  Insert Delta_down: 0.0808702
Move set Remove two operators: 0.0812727
Move  Remove Delta_up: 0.081801
Move  Remove Delta_down: 0.0807463
Move set Insert four operators: 0.0099321
Move  Insert Delta_up_up: 0.00904017
Move  Insert Delta_up_down: 0.0110288
Move  Insert Delta_down_up: 0.0113006
Move  Insert Delta_down_down: 0.00836602
Move set Remove four operators: 0.00970767
Move  Remove Delta_up_up: 0.00951802
Move  Remove Delta_up_down: 0.0101806
Move  Remove Delta_down_up: 0.0106859
Move  Remove Delta_down_down: 0.00843022
Move  Shift one operator: 0.086534
[Rank 0] Warmup lasted: 0.0813237 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.165674 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9968
Average order: 1.7405
Auto-correlation time: 4.74432

Iteration = 6 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-3*c_dag('down',0)*c('down',0) + -3*c_dag('up',0)*c('up',0) + 6*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:48 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:49  60% ETA 00:00:00 cycle 6050 of 10000
17:36:49 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00117191
Average order         | 0.000175165
Average sign          | 0.00017454
G_tau measure         | 0.00050787
Total measure time    | 0.00202948
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0802191
Move  Insert Delta_up: 0.0791924
Move  Insert Delta_down: 0.0812492
Move set Remove two operators: 0.0809095
Move  Remove Delta_up: 0.0803057
Move  Remove Delta_down: 0.0815111
Move set Insert four operators: 0.00969948
Move  Insert Delta_up_up: 0.00925127
Move  Insert Delta_up_down: 0.0103824
Move  Insert Delta_down_up: 0.0101984
Move  Insert Delta_down_down: 0.00897148
Move s

Iteration = 7 / 10
et Remove four operators: 0.00927175
Move  Remove Delta_up_up: 0.0082894
Move  Remove Delta_up_down: 0.010285
Move  Remove Delta_down_up: 0.0103947
Move  Remove Delta_down_down: 0.00810573
Move  Shift one operator: 0.0879604
[Rank 0] Warmup lasted: 0.0832035 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.16585 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9974
Average order: 1.7589
Auto-correlation time: 2.9097

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-3*c_dag('down',0)*c('down',0) + -3*c_dag('up',0)*c('up',0) + 6*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 8 / 10

Iteration = 9 / 10
Found 4 subspaces.

Warming up ...
17:36:49 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:49  61% ETA 00:00:00 cycle 6139 of 10000
17:36:49 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00118529
Average order         | 0.000172073
Average sign          | 0.000172366
G_tau measure         | 0.000496923
Total measure time    | 0.00202665
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0795869
Move  Insert Delta_up: 0.0790479
Move  Insert Delta_down: 0.0801287
Move set Remove two operators: 0.0793488
Move  Remove Delta_up: 0.0792065
Move  Remove Delta_down: 0.0794908
Move set Insert four operators: 0.00889574
Move  Insert Delta_up_up: 0.00825277
Move  Insert Delta_up_down: 0.00949215
Move  Insert Delta_down_up: 0.00962801
Move  Insert Delta_down_down: 0.00821994
Move set Remove four operators: 0.00910054
Move  Remove Delta_up_up: 0.00828074
Move  Remove Delta_up_down: 0.0100862
Move  Remove Delta_down_up: 0.00971145
Move  Remove Delta_down_down: 0.00831268
Move  Shift one operator: 0.0841257
[Rank 0] Warmup lasted: 0.0818062 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.16097 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9978
Average order: 1.6771
Auto-correlation time: 3.1042

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-3*c_dag('down',0)*c('down',0) + -3*c_dag('up',0)*c('up',0) + 6*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:49 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:49  61% ETA 00:00:00 cycle 6153 of 10000
17:36:49 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00115225
Average order         | 0.000171762
Average sign          | 0.000172688
G_tau measure         | 0.000498098
Total measure time    | 0.00199479
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.080043
Move  Insert Delta_up: 0.0801369
Move  Insert Delta_down: 0.0799484
Move set Remove two operators: 0.0794563
Move  Remove Delta_up: 0.0801462
Move  Remove Delta_down: 0.0787702
Move set Insert four operators: 0.00927618
Move  Insert Delta_up_up: 0.00859689
Move  Insert Delta_up_down: 0.00934467
Move  Insert Delta_down_up: 0.0107302
Move  Insert Delta_down_down: 0.00842416
Move set Remove four operators: 0.00952857
Move  Remove Delta_up_up: 0.00895115
Move  Remove Delta_up_down: 0.00986343
Move  Remove Delta_down_up: 0.0104291
Move  Remove Delta_down_down: 0.00886475
Move  Shift one operator: 0.0843788
[Rank 0] Warmup lasted: 0.0796422 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.161897 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9968
Average order: 1.6928
Auto-correlation time: 6.26924

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-3*c_dag('down',0)*c('down',0) + -3*c_dag('up',0)*c('up',0) + 6*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Iteration = 10 / 10

Warming up ...
17:36:49 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:49  59% ETA 00:00:00 cycle 5957 of 10000
17:36:49 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00115623
Average order         | 0.00017426
Average sign          | 0.000175525
G_tau measure         | 0.000538327
Total measure time    | 0.00204434
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0811482
Move  Insert Delta_up: 0.0799815
Move  Insert Delta_down: 0.0823172
Move set Remove two operators: 0.079918
Move  Remove Delta_up: 0.0798255
Move  Remove Delta_down: 0.0800096
Move set Insert four operators: 0.00925476
Move  Insert Delta_up_up: 0.00855502
Move  Insert Delta_up_down: 0.00981487
Move  Insert Delta_down_up: 0.0105368
Move  Insert Delta_down_down: 0.0081249
Move set Remove four operators: 0.00993752
Move  Remove Delta_up_up: 0.00927793
Move  Remove Delta_up_down: 0.00998653
Move  Remove Delta_down_up: 0.0106884
Move  Remove Delta_down_down: 0.00978858
Move  Shift one operator: 0.0876537
[Rank 0] Warmup lasted: 0.0830675 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.166809 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9932
Average order: 1.7751
Auto-correlation time: 2.16191

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-3*c_dag('down',0)*c('down',0) + -3*c_dag('up',0)*c('up',0) + 6*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:50 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:50  60% ETA 00:00:00 cycle 6097 of 10000
17:36:50 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00115244
Average order         | 0.00017814
Average sign          | 0.000175008
G_tau measure         | 0.000491659
Total measure time    | 0.00199724
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0796655
Move  Insert Delta_up: 0.0798424
Move  Insert Delta_down: 0.0794869
Move set Remove two operators: 0.0806294
Move  Remove Delta_up: 0.0818259
Move  Remove Delta_down: 0.0794333
Move set Insert four operators: 0.00948261
Move  Insert Delta_up_up: 0.00896616
Move  Insert Delta_up_down: 0.0110163
Move  Insert Delta_down_up: 0.00972801
Move  Insert Delta_down_down: 0.00824513
MoveU = 7.0
set Remove four operators: 0.00907485
Move  Remove Delta_up_up: 0.00870093
Move  Remove Delta_up_down: 0.00888078
Move  Remove Delta_down_up: 0.00987143
Move  Remove Delta_down_down: 0.00884075
Move  Shift one operator: 0.0868053
[Rank 0] Warmup lasted: 0.0820692 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.162871 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9966
Average order: 1.7002
Auto-correlation time: 3.1179

Iteration = 1 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-3.5*c_dag('down',0)*c('down',0) + -3.5*c_dag('up',0)*c('up',0) + 7*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:50  78% ETA 00:00:00 cycle 3931 of 5000
17:36:50 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:50  39% ETA 00:00:00 cycle 3916 of 10000
17:36:50 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00116999
Average order         | 0.000178971
Average sign          | 0.000177013
G_tau measure         | 0.000661933
Total measure time    | 0.0021879
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0825932
Move  Insert Delta_up: 0.0821367
Move  Insert Delta_down: 0.0830489
Move set Remove two operators: 0.0829548
Move  Remove Delta_up: 0.0825535
Move  Remove Delta_down: 0.0833533
Move set Insert four operators: 0.0149825
Move  Insert Delta_up_up: 0.0128456
Move  Insert Delta_up_down: 0.016206
Move  Insert Delta_down_up: 0.018634
Mov

Iteration = 2 / 10
e  Insert Delta_down_down: 0.0122235
Move set Remove four operators: 0.0149866
Move  Remove Delta_up_up: 0.0129654
Move  Remove Delta_up_down: 0.0173514
Move  Remove Delta_down_up: 0.0175802
Move  Remove Delta_down_down: 0.0119693
Move  Shift one operator: 0.233272
[Rank 0] Warmup lasted: 0.128126 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.253855 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 3.9717
Auto-correlation time: 5.67936

Iteration = 3 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-3.5*c_dag('down',0)*c('down',0) + -3.5*c_dag('up',0)*c('up',0) + 7*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:50 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:50  60% ETA 00:00:00 cycle 6032 of 10000
17:36:50 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00115504
Average order         | 0.000170611
Average sign          | 0.000174805
G_tau measure         | 0.00128361
Total measure time    | 0.00278407
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0831347
Move  Insert Delta_up: 0.0826692
Move  Insert Delta_down: 0.0836028
Move set Remove two operators: 0.083416
Move  Remove Delta_up: 0.0828652
Move  Remove Delta_down: 0.083969
Move set Insert four operators: 0.0133214
Move  Insert Delta_up_up: 0.00978535
Move  Insert Delta_up_down: 0.0162945
Move  Insert Delta_down_up: 0.0179412
Move  Insert Delta_down_down: 0.00930456
Move set Remove four operators: 0.0131809
Move  Remove Delta_up_up: 0.0100251
Move  Remove Delta_up_down: 0.0165614
Move  Remove Delta_down_up: 0.0171715
Move  Remove Delta_down_down: 0.00890798
Move  Shift one operator: 0.0923836
[Rank 0] Warmup lasted: 0.0827155 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.168187 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 1.7472
Auto-correlation time: 5.10055

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-3.5*c_dag('down',0)*c('down',0) + -3.5*c_dag('up',0)*c('up',0) + 7*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:51 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:51  65% ETA 00:00:00 cycle 6573 of 10000
17:36:51 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00119869
Average order         | 0.000176954
Average sign          | 0.000178311
G_tau measure         | 0.000494936
Total measure time    | 0.00204889
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.07622
Move  Insert Delta_up: 0.075692
Move  Insert Delta_down: 0.0767499
Move set Remove two operators: 0.0754528
Move  Remove Delta_up: 0.0759239
Move  Remove Delta_down: 0.074984
Move set Insert four operators: 0.0088625
Move  Insert Delta_up_up: 0.00809271
Move  Insert Delta_up_down: 0.00996209
Move  Insert Delta_down_up: 0.0113564
Move  Insert Delta_down_down: 0.00605505
Move set Remove four operators: 0.00928461
Move  Remove Delta_up_up: 0.00818713
Move  Remove Delta_up_down: 0.0108847
Move  Remove Delta_down_up: 0.0106967
Move  Remove Delta_down_down: 0.00735
Move  Shift one operator: 0.0695589
[Rank 0] Warmup lasted: 0.0759537 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.150655 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9996
Average order: 1.4869
Auto-correlation time: 2.47014

Iteration = 4 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-3.5*c_dag('down',0)*c('down',0) + -3.5*c_dag('up',0)*c('up',0) + 7*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:51 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:51  67% ETA 00:00:00 cycle 6728 of 10000
17:36:51 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.0011518
Average order         | 0.000170142
Average sign          | 0.000172553
G_tau measure         | 0.000480502
Total measure time    | 0.001975
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0724759
Move  Insert Delta_up: 0.0715636
Move  Insert Delta_down: 0.0733873
Move set Remove two operators: 0.0720517
Move  Remove Delta_up: 0.0711002
Move  Remove Delta_down: 0.0730012
Move set Insert four operators: 0.00731203
Move  Insert Delta_up_up: 0.00710724
Move  Insert Delta_up_down: 0.00752697
Move  Insert Delta_down_up: 0.00819281
Move  Insert Delta_down_down: 0.00642832
Mo

Iteration = 5 / 10
ve set Remove four operators: 0.00748132
Move  Remove Delta_up_up: 0.00743524
Move  Remove Delta_up_down: 0.00759443
Move  Remove Delta_down_up: 0.00848466
Move  Remove Delta_down_down: 0.00640077
Move  Shift one operator: 0.0638096
[Rank 0] Warmup lasted: 0.0742757 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.147119 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9986
Average order: 1.4453
Auto-correlation time: 2.27009

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-3.5*c_dag('down',0)*c('down',0) + -3.5*c_dag('up',0)*c('up',0) + 7*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:51 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:51  67% ETA 00:00:00 cycle 6765 of 10000
17:36:51 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.0011343
Average order         | 0.000175784
Average sign          | 0.000175253
G_tau measure         | 0.000505452
Total measure time    | 0.00199079
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0713425
Move  Insert Delta_up: 0.0706458
Move  Insert Delta_down: 0.07204
Move set Remove two operators: 0.0718967
Move  Remove Delta_up: 0.0720733
Move  Remove Delta_down: 0.0717211
Move set Insert four operators: 0.00752552
Move  Insert Delta_up_up: 0.00686625
Move  Insert Delta_up_down: 0.00816653
Move  Insert Delta_down_up: 0.00877613
Move  Insert Delta_down_down: 0.00630587
Move

Iteration = 6 / 10
set Remove four operators: 0.00721517
Move  Remove Delta_up_up: 0.00625928
Move  Remove Delta_up_down: 0.00727505
Move  Remove Delta_down_up: 0.00856445
Move  Remove Delta_down_down: 0.00676213
Move  Shift one operator: 0.063708
[Rank 0] Warmup lasted: 0.073321 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.146845 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.991
Average order: 1.442
Auto-correlation time: 2.81646

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-3.5*c_dag('down',0)*c('down',0) + -3.5*c_dag('up',0)*c('up',0) + 7*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:51 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:51  67% ETA 00:00:00 cycle 6760 of 10000
17:36:51 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00115614
Average order         | 0.000174304
Average sign          | 0.000175429
G_tau measure         | 0.000510379
Total measure time    | 0.00201626
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0722835
Move  Insert Delta_up: 0.071304
Move  Insert Delta_down: 0.0732643
Move set Remove two operators: 0.0724337
Move  Remove Delta_up: 0.0720262
Move  Remove Delta_down: 0.07284
Move set Insert four operators: 0.00747649
Move  Insert Delta_up_up: 0.00767686
Move  Insert Delta_up_down: 0.00721154
Move  Insert Delta_down_up: 0.00852148
Move  Insert Delta_down_down: 0.00649195
Move

Iteration = 7 / 10
set Remove four operators: 0.00737793
Move  Remove Delta_up_up: 0.00707822
Move  Remove Delta_up_down: 0.00711645
Move  Remove Delta_down_up: 0.00876561
Move  Remove Delta_down_down: 0.00655318
Move  Shift one operator: 0.0641534
[Rank 0] Warmup lasted: 0.0730972 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.147456 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.996
Average order: 1.4256
Auto-correlation time: 1.87925

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-3.5*c_dag('down',0)*c('down',0) + -3.5*c_dag('up',0)*c('up',0) + 7*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:51 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:52  67% ETA 00:00:00 cycle 6797 of 10000
17:36:52 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00115404
Average order         | 0.000171099
Average sign          | 0.000173656
G_tau measure         | 0.00048374
Total measure time    | 0.00198254
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0719672
Move  Insert Delta_up: 0.0706898
Move  Insert Delta_down: 0.0732397
Move set Remove two operators: 0.0715593
Move  Remove Delta_up: 0.0704335
Move  Remove Delta_down: 0.0726812
Move set Insert four operators: 0.00708196
Move  Insert Delta_up_up: 0.00686678
Move  Insert Delta_up_down: 0.0078658
Move  Insert Delta_down_up: 0.00743821
Move  Insert Delta_down_down: 0.0061632
Move

Iteration = 8 / 10
set Remove four operators: 0.0071656
Move  Remove Delta_up_up: 0.00718669
Move  Remove Delta_up_down: 0.00766542
Move  Remove Delta_down_up: 0.00723975
Move  Remove Delta_down_down: 0.00656952
Move  Shift one operator: 0.0617984
[Rank 0] Warmup lasted: 0.0741883 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.146003 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9934
Average order: 1.4186
Auto-correlation time: 1.97262

Iteration = 9 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-3.5*c_dag('down',0)*c('down',0) + -3.5*c_dag('up',0)*c('up',0) + 7*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:52 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:52  67% ETA 00:00:00 cycle 6733 of 10000
17:36:52 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00117
Average order         | 0.000176397
Average sign          | 0.000174993
G_tau measure         | 0.00058778
Total measure time    | 0.00210917
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0723829
Move  Insert Delta_up: 0.0719869
Move  Insert Delta_down: 0.072779
Move set Remove two operators: 0.0718631
Move  Remove Delta_up: 0.0717641
Move  Remove Delta_down: 0.0719614
Move set Insert four operators: 0.00704912
Move  Insert Delta_up_up: 0.00711842
Move  Insert Delta_up_down: 0.00702896
Move  Insert Delta_down_up: 0.00800765
Move  Insert Delta_down_down: 0.00603686
Move set Remove four operators: 0.00728255
Move  Remove Delta_up_up: 0.00728605
Move  Remove Delta_up_down: 0.00757032
Move  Remove Delta_down_up: 0.00808733
Move  Remove Delta_down_down: 0.00617878
Move  Shift one operator: 0.0647355
[Rank 0] Warmup lasted: 0.0728214 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.146776 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9972
Average order: 1.4233
Auto-correlation time: 2.35075

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-3.5*c_dag('down',0)*c('down',0) + -3.5*c_dag('up',0)*c('up',0) + 7*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:52 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:52  67% ETA 00:00:00 cycle 6761 of 10000
17:36:52 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00113392
Average order         | 0.000174943
Average sign          | 0.000180306
G_tau measure         | 0.000498955
Total measure time    | 0.00198812
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0720697
Move  Insert Delta_up: 0.0712123
Move  Insert Delta_down: 0.0729294
Move set Remove two operators: 0.0721389
Move  Remove Delta_up: 0.0714645
Move  Remove Delta_down: 0.0728079
Move set Insert four operators: 0.0070591
Move  Insert Delta_up_up: 0.00725576
Move  Insert Delta_up_down: 0.00753265
Move  Insert Delta_down_up: 0.00761844
Move  Insert Delta_down_down: 0.00582509
Move set Remove four operators: 0.00700508
Move  Remove Delta_up_up: 0.00793267
Move  Remove Delta_up_down: 0.0067748
Move  Remove Delta_down_up: 0.00738887
Move  Remove Delta_down_down: 0.00593318
Move  Shift one operator: 0.0639617
[Rank 0] Warmup lasted: 0.0738343 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.147712 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9972
Average order: 1.4578
Auto-correlation time: 2.74578

Iteration = 10 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-3.5*c_dag('down',0)*c('down',0) + -3.5*c_dag('up',0)*c('up',0) + 7*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:52 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:52  66% ETA 00:00:00 cycle 6668 of 10000
17:36:52 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.0011519
Average order         | 0.000174972
Average sign          | 0.000177178
G_tau measure         | 0.000500343
Total measure time    | 0.00200439
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0700786
Move  Insert Delta_up: 0.0702968
Move  Insert Delta_down: 0.0698603
Move set Remove two operators: 0.0696558
Move  Remove Delta_up: 0.0699828
Move  Remove Delta_down: 0.0693299
Move set Insert four oU = 8.0
perators: 0.00679017
Move  Insert Delta_up_up: 0.00662199
Move  Insert Delta_up_down: 0.00680628
Move  Insert Delta_down_up: 0.00800669
Move  Insert Delta_down_down: 0.00572275
Move set Remove four operators: 0.00691247
Move  Remove Delta_up_up: 0.00703885
Move  Remove Delta_up_down: 0.00726199
Move  Remove Delta_down_up: 0.00740299
Move  Remove Delta_down_down: 0.00594573
Move  Shift one operator: 0.0655141
[Rank 0] Warmup lasted: 0.0722333 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.14909 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9974
Average order: 1.499
Auto-correlation time: 2.74692

Iteration = 1 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-4*c_dag('down',0)*c('down',0) + -4*c_dag('up',0)*c('up',0) + 8*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 2 / 10
Found 4 subspaces.

Warming up ...
17:36:53  84% ETA 00:00:00 cycle 4202 of 5000
17:36:53 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:53  43% ETA 00:00:00 cycle 4308 of 10000
17:36:53 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00119195
Average order         | 0.000172087
Average sign          | 0.000176853
G_tau measure         | 0.000651202
Total measure time    | 0.00219209
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0784645
Move  Insert Delta_up: 0.077737
Move  Insert Delta_down: 0.0791939
Move set Remove two operators: 0.0778967
Move  Remove Delta_up: 0.0777312
Move  Remove Delta_down: 0.0780616
Move set Insert four operators: 0.0137605
Move  Insert Delta_up_up: 0.0106226
Move  Insert Delta_up_down: 0.0159981
Move  Insert Delta_down_up: 0.0181051
Move  Insert Delta_down_down: 0.0102649
Move set Remove four operators: 0.014284
Move  Remove Delta_up_up: 0.0107163
Move  Remove Delta_up_down: 0.0180735
Move  Remove Delta_down_up: 0.0173927
Move  Remove Delta_down_down: 0.010941
Move  Shift one operator: 0.194802
[Rank 0] Warmup lasted: 0.117678 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.232515 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 3.5417
Auto-correlation time: 7.37617

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-4*c_dag('down',0)*c('down',0) + -4*c_dag('up',0)*c('up',0) + 8*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:53 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:53  68% ETA 00:00:00 cycle 6826 of 10000
17:36:53 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.0011367
Average order         | 0.000175053
Average sign          | 0.000174838
G_tau measure         | 0.000507683
Total measure time    | 0.00199427
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0766449
Move  Insert Delta_up: 0.0764292
Move  Insert Delta_down: 0.0768612
Move set Remove two operators: 0.0761625
Move  Remove Delta_up: 0.0763946
Move  Remove Delta_down: 0.0759317
Move set Insert four operators: 0.0106741
Move  Insert Delta_up_up: 0.00774466
Move  Insert Delta_up_down: 0.0136975
Move  Insert Delta_down_up: 0.0145652
Move  Insert Delta_down_down: 0.0067659
Move set Remove four operators: 0.0108867
Move  Remove Delta_up_up: 0.00786259
Move  Remove Delta_up_down: 0.0137408
Move  Remove Delta_down_up: 0.0148857
Move  Remove Delta_down_down: 0.00699944
Move  Shift one operator: 0.0664264
[Rank 0] Warmup lasted: 0.0726063 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.145565 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 1.4098
Auto-correlation time: 1.66327

Iteration = 3 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-4*c_dag('down',0)*c('down',0) + -4*c_dag('up',0)*c('up',0) + 8*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 4 / 10
Found 4 subspaces.

Warming up ...
17:36:53 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:53  73% ETA 00:00:00 cycle 7364 of 10000
17:36:53 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00113329
Average order         | 0.000175666
Average sign          | 0.00017359
G_tau measure         | 0.000493932
Total measure time    | 0.00197648
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0666085
Move  Insert Delta_up: 0.0665451
Move  Insert Delta_down: 0.066672
Move set Remove two operators: 0.0667213
Move  Remove Delta_up: 0.0672132
Move  Remove Delta_down: 0.0662322
Move set Insert four operators: 0.00669763
Move  Insert Delta_up_up: 0.00602932
Move  Insert Delta_up_down: 0.00748431
Move  Insert Delta_down_up: 0.00769875
Move  Insert Delta_down_down: 0.00559172
Move set Remove four operators: 0.00652602
Move  Remove Delta_up_up: 0.00578662
Move  Remove Delta_up_down: 0.00698408
Move  Remove Delta_down_up: 0.00760865
Move  Remove Delta_down_down: 0.00571634
Move  Shift one operator: 0.0514166
[Rank 0] Warmup lasted: 0.0668013 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.135057 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9996
Average order: 1.2625
Auto-correlation time: 1.92343

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-4*c_dag('down',0)*c('down',0) + -4*c_dag('up',0)*c('up',0) + 8*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:53 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:53  72% ETA 00:00:00 cycle 7289 of 10000
17:36:53 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00113231
Average order         | 0.000174572
Average sign          | 0.000175548
G_tau measure         | 0.000526218
Total measure time    | 0.00200864
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0648141
Move  Insert Delta_up: 0.0634921
Move  Insert Delta_down: 0.0661443
Move set Remove two operators: 0.0649517
Move  Remove Delta_up: 0.0649518
Move  Remove Delta_down: 0.0649516
Move set Insert four operators: 0.0061691
Move  Insert Delta_up_up: 0.00587146
Move  Insert Delta_up_down: 0.00646862
Move  Insert Delta_down_up: 0.00744427
Move  Insert Delta_down_down: 0.00489611
Move set Remove four operators: 0.00601018
Move  Remove Delta_up_up: 0.00491658
Move  Remove Delta_up_down: 0.00690701
Move  Remove Delta_down_up: 0.00676294
Move  Remove Delta_down_down: 0.00544022
Move  Shift one operator: 0.0503358
[Rank 0] Warmup lasted: 0.0671483 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.135564 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9972
Average order: 1.2763
Auto-correlation time: 2.76404

Iteration = 5 / 10

Iteration = 6 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-4*c_dag('down',0)*c('down',0) + -4*c_dag('up',0)*c('up',0) + 8*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:54 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:54  73% ETA 00:00:00 cycle 7343 of 10000
17:36:54 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00116586
Average order         | 0.000171716
Average sign          | 0.000175847
G_tau measure         | 0.000581802
Total measure time    | 0.00209523
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0649176
Move  Insert Delta_up: 0.0641392
Move  Insert Delta_down: 0.0657014
Move set Remove two operators: 0.0647029
Move  Remove Delta_up: 0.0646974
Move  Remove Delta_down: 0.0647083
Move set Insert four operators: 0.00594983
Move  Insert Delta_up_up: 0.00583274
Move  Insert Delta_up_down: 0.00662917
Move  Insert Delta_down_up: 0.00637781
Move  Insert Delta_down_down: 0.00496899
Move set Remove four operators: 0.00605891
Move  Remove Delta_up_up: 0.00579733
Move  Remove Delta_up_down: 0.00580425
Move  Remove Delta_down_up: 0.00740682
Move  Remove Delta_down_down: 0.00521816
Move  Shift one operator: 0.0500971
[Rank 0] Warmup lasted: 0.0681187 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.135501 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9928
Average order: 1.2804
Auto-correlation time: 1.52751

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-4*c_dag('down',0)*c('down',0) + -4*c_dag('up',0)*c('up',0) + 8*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 7 / 10
Found 4 subspaces.

Warming up ...
17:36:54 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:54  73% ETA 00:00:00 cycle 7363 of 10000
17:36:54 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00114743
Average order         | 0.000174272
Average sign          | 0.000173083
G_tau measure         | 0.00048318
Total measure time    | 0.00197796
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0648434
Move  Insert Delta_up: 0.0639435
Move  Insert Delta_down: 0.0657487
Move set Remove two operators: 0.0652002
Move  Remove Delta_up: 0.0650621
Move  Remove Delta_down: 0.0653372
Move set Insert four operators: 0.00653185
Move  Insert Delta_up_up: 0.00647684
Move  Insert Delta_up_down: 0.00700224
Move  Insert Delta_down_up: 0.00712778
Move  Insert Delta_down_down: 0.00552508
Move set Remove four operators: 0.00633317
Move  Remove Delta_up_up: 0.00574294
Move  Remove Delta_up_down: 0.00628081
Move  Remove Delta_down_up: 0.00798945
Move  Remove Delta_down_down: 0.00531256
Move  Shift one operator: 0.0519887
[Rank 0] Warmup lasted: 0.0671887 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.135337 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9896
Average order: 1.2736
Auto-correlation time: 2.97512

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-4*c_dag('down',0)*c('down',0) + -4*c_dag('up',0)*c('up',0) + 8*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:54 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:54  73% ETA 00:00:00 cycle 7350 of 10000
17:36:54 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00114243
Average order         | 0.000176064
Average sign          | 0.00017554
G_tau measure         | 0.000502765
Total measure time    | 0.0019968
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0651064
Move  Insert Delta_up: 0.0640138
Move  Insert Delta_down: 0.0661968
Move set Remove two operators: 0.064921
Move  Remove Delta_up: 0.0643386
Move  Remove Delta_down: 0.0655007
Move set Insert four operators: 0.00608775
Move  Insert Delta_up_up: 0.00550639
Move  Insert Delta_up_down: 0.00688303
Move  Insert Delta_down_up: 0.00702353
Move  Insert Delta_down_down: 0.00494438
Move

Iteration = 8 / 10
set Remove four operators: 0.00612031
Move  Remove Delta_up_up: 0.00518802
Move  Remove Delta_up_down: 0.006465
Move  Remove Delta_down_up: 0.00749811
Move  Remove Delta_down_down: 0.00532021
Move  Shift one operator: 0.0501661
[Rank 0] Warmup lasted: 0.0677592 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.135616 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9908
Average order: 1.2712
Auto-correlation time: 2.45363

Iteration = 9 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-4*c_dag('down',0)*c('down',0) + -4*c_dag('up',0)*c('up',0) + 8*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:54 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:54  70% ETA 00:00:00 cycle 7086 of 10000
17:36:54 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00116354
Average order         | 0.000175041
Average sign          | 0.000174947
G_tau measure         | 0.00112879
Total measure time    | 0.00264231
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0650171
Move  Insert Delta_up: 0.0644201
Move  Insert Delta_down: 0.0656194
Move set Remove two operators: 0.0655976
Move  Remove Delta_up: 0.0658945
Move  Remove Delta_down: 0.0653032
Move set Insert four operators: 0.00591916
Move  Insert Delta_up_up: 0.00558637
Move  Insert Delta_up_down: 0.00615606
Move  Insert Delta_down_up: 0.00691088
Move  Insert Delta_down_down: 0.00502934
Move set Remove four operators: 0.0055814
Move  Remove Delta_up_up: 0.00478277
Move  Remove Delta_up_down: 0.00636994
Move  Remove Delta_down_up: 0.00639437
Move  Remove Delta_down_down: 0.00477878
Move  Shift one operator: 0.0504766
[Rank 0] Warmup lasted: 0.0694536 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.139764 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9974
Average order: 1.2853
Auto-correlation time: 2.65569

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-4*c_dag('down',0)*c('down',0) + -4*c_dag('up',0)*c('up',0) + 8*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 10 / 10
Found 4 subspaces.

Warming up ...
17:36:54 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:55  72% ETA 00:00:00 cycle 7286 of 10000
17:36:55 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00114038
Average order         | 0.000176438
Average sign          | 0.000175781
G_tau measure         | 0.000493773
Total measure time    | 0.00198638
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.06511
Move  Insert Delta_up: 0.0645775
Move  Insert Delta_down: 0.0656442
Move set Remove two operators: 0.065331
Move  Remove Delta_up: 0.0647873
Move  Remove Delta_down: 0.0658719
Move set Insert four operators: 0.00569673
Move  Insert Delta_up_up: 0.00567891
Move  Insert Delta_up_down: 0.00563549
Move  Insert Delta_down_up: 0.00576908
Move  Insert Delta_down_down: 0.00570335
Move set Remove four operators: 0.0056422
Move  Remove Delta_up_up: 0.00595789
Move  Remove Delta_up_down: 0.00547803
Move  Remove Delta_down_up: 0.00585611
Move  Remove Delta_down_down: 0.0052781
Move  Shift one operator: 0.0523878
[Rank 0] Warmup lasted: 0.0673053 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.136122 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9978
Average order: 1.3104
Auto-correlation time: 2.14769

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-4*c_dag('down',0)*c('down',0) + -4*c_dag('up',0)*c('up',0) + 8*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:55 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:55  70% ETA 00:00:00 cycle 7086 of 10000
17:36:55 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00114125
Average order         | 0.000176996
Average sign          | 0.000171122
G_tau measure         | 0.00150071
Total measure time    | 0.00299008
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0655441
Move  Insert Delta_up: 0.0641989
Move  Insert Delta_down: 0.066902
Move set Remove two operators: 0.0656663
Move  Remove Delta_up: 0.0655177
Move  Remove Delta_down: 0.065813
Move set Insert four operators: 0.00574329
Move  Insert Delta_up_up: 0.00615239
Move  Insert Delta_up_down: 0.00584514
Move  Insert Delta_down_up: 0.00617653
Move  Insert Delta_down_down: 0.0047931
Move sU = 9.0
et Remove four operators: 0.00557688
Move  Remove Delta_up_up: 0.00536355
Move  Remove Delta_up_down: 0.00589547
Move  Remove Delta_down_up: 0.0062092
Move  Remove Delta_down_down: 0.00483401
Move  Shift one operator: 0.0511499
[Rank 0] Warmup lasted: 0.0669602 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.138667 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9968
Average order: 1.2817
Auto-correlation time: 2.92277

Iteration = 1 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-4.5*c_dag('down',0)*c('down',0) + -4.5*c_dag('up',0)*c('up',0) + 9*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:55  92% ETA 00:00:00 cycle 4617 of 5000
17:36:55 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:55  46% ETA 00:00:00 cycle 4624 of 10000
17:36:55 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00116428
Average order         | 0.000175073
Average sign          | 0.000179122
G_tau measure         | 0.000624143
Total measure time    | 0.00214262
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.075023
Move  Insert Delta_up: 0.0737795
Move  Insert Delta_down: 0.0762717
Move set Remove two operators: 0.0754981
Move  Remove Delta_up: 0.0750419
Move  Remove Delta_down: 0.0759501
Move set Insert four operators: 0.0122848
Move  Insert Delta_up_up: 0.010087
Move  Insert Delta_up_down: 0.0149212
Move  Insert Delta_down_up: 0.0147216
Mov

Iteration = 2 / 10
e  Insert Delta_down_down: 0.00942308
Move set Remove four operators: 0.0122644
Move  Remove Delta_up_up: 0.00940893
Move  Remove Delta_up_down: 0.0151437
Move  Remove Delta_down_up: 0.0152795
Move  Remove Delta_down_down: 0.00922575
Move  Shift one operator: 0.160022
[Rank 0] Warmup lasted: 0.108396 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.214303 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 3.0593
Auto-correlation time: 8.51099

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-4.5*c_dag('down',0)*c('down',0) + -4.5*c_dag('up',0)*c('up',0) + 9*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 3 / 10
Found 4 subspaces.

Warming up ...
17:36:55 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:55  72% ETA 00:00:00 cycle 7205 of 10000
17:36:55 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00114454
Average order         | 0.000174778
Average sign          | 0.000178598
G_tau measure         | 0.000622807
Total measure time    | 0.00212072
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0673988
Move  Insert Delta_up: 0.0660498
Move  Insert Delta_down: 0.0687521
Move set Remove two operators: 0.0665999
Move  Remove Delta_up: 0.0656989
Move  Remove Delta_down: 0.0674971
Move set Insert four operators: 0.00775671
Move  Insert Delta_up_up: 0.00641076
Move  Insert Delta_up_down: 0.00925224
Move  Insert Delta_down_up: 0.0098923
Move  Insert Delta_down_down: 0.00549451
Move set Remove four operators: 0.00814979
Move  Remove Delta_up_up: 0.0064208
Move  Remove Delta_up_down: 0.0094943
Move  Remove Delta_down_up: 0.0109052
Move  Remove Delta_down_down: 0.00577183
Move  Shift one operator: 0.0525718
[Rank 0] Warmup lasted: 0.0684983 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.13753 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 1.2476
Auto-correlation time: 2.18844

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-4.5*c_dag('down',0)*c('down',0) + -4.5*c_dag('up',0)*c('up',0) + 9*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:56 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:56  76% ETA 00:00:00 cycle 7605 of 10000
17:36:56 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00111446
Average order         | 0.000176218
Average sign          | 0.000173181
G_tau measure         | 0.000567391
Total measure time    | 0.00203125
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0599149
Move  Insert Delta_up: 0.0587469
Move  Insert Delta_down: 0.0610859
Move set Remove two operators: 0.0603628
Move  Remove Delta_up: 0.0599454
Move  Remove Delta_down: 0.0607787
Move set Insert four operators: 0.00513004
Move  Insert Delta_up_up: 0.00500828
Move  Insert Delta_up_down: 0.00586709
Move  Insert Delta_down_up: 0.00532469
Move  Insert Delta_down_down: 0.00432035
Move set Remove four operators: 0.00484395
Move  Remove Delta_up_up: 0.00435256
Move  Remove Delta_up_down: 0.0050489
Move  Remove Delta_down_up: 0.00528113
Move  Remove Delta_down_down: 0.00468487
Move  Shift one operator: 0.0424689
[Rank 0] Warmup lasted: 0.0623846 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.129958 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 1.1771
Auto-correlation time: 2.90146

Iteration = 4 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-4.5*c_dag('down',0)*c('down',0) + -4.5*c_dag('up',0)*c('up',0) + 9*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:56 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:56  76% ETA 00:00:00 cycle 7679 of 10000
17:36:56 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00111329
Average order         | 0.000174453
Average sign          | 0.000187997
G_tau measure         | 0.00052281
Total measure time    | 0.00199855
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0597628
Move  Insert Delta_up: 0.0594387
Move  Insert Delta_down: 0.0600886
Move set Remove two operators: 0.0601823
Move  Remove Delta_up: 0.0602364
Move  Remove Delta_down: 0.0601285
Move set Insert four operators: 0.00498081
Move  Insert Delta_up_up: 0.00520013
Move  Insert Delta_up_down: 0.00499122
Move  Insert Delta_down_up: 0.00506582
Move  Insert Delta_down_down: 0.00466358
Mov

Iteration = 5 / 10
e set Remove four operators: 0.00463958
Move  Remove Delta_up_up: 0.00460643
Move  Remove Delta_up_down: 0.00493022
Move  Remove Delta_down_up: 0.00485765
Move  Remove Delta_down_down: 0.00416083
Move  Shift one operator: 0.041741
[Rank 0] Warmup lasted: 0.0630625 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.128933 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9988
Average order: 1.1498
Auto-correlation time: 3.35153

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-4.5*c_dag('down',0)*c('down',0) + -4.5*c_dag('up',0)*c('up',0) + 9*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:56 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:56  73% ETA 00:00:00 cycle 7352 of 10000
17:36:56 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.0011521
Average order         | 0.000179953
Average sign          | 0.000193562
G_tau measure         | 0.000986017
Total measure time    | 0.00251163
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0607112
Move  Insert Delta_up: 0.0597318
Move  Insert Delta_down: 0.0616933
Move set Remove two operators: 0.0605566
Move  Remove Delta_up: 0.0600225
Move  Remove Delta_down: 0.0610896
Move set Insert four operators: 0.0048536
Move  Insert Delta_up_up: 0.00534402
Move  Insert Delta_up_down: 0.00512184
Move  Insert Delta_down_up: 0.00419329
Move  Insert Delta_down_down: 0.00474785
Mov

Iteration = 6 / 10
e set Remove four operators: 0.00485389
Move  Remove Delta_up_up: 0.00482044
Move  Remove Delta_up_down: 0.00488813
Move  Remove Delta_down_up: 0.00502294
Move  Remove Delta_down_down: 0.00468169
Move  Shift one operator: 0.0414372
[Rank 0] Warmup lasted: 0.0637003 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.134183 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.996
Average order: 1.1644
Auto-correlation time: 3.2926

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-4.5*c_dag('down',0)*c('down',0) + -4.5*c_dag('up',0)*c('up',0) + 9*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 7 / 10
Found 4 subspaces.

Warming up ...
17:36:56 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:56  77% ETA 00:00:00 cycle 7706 of 10000
17:36:56 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00114883
Average order         | 0.000172738
Average sign          | 0.000173912
G_tau measure         | 0.000500922
Total measure time    | 0.0019964
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0597706
Move  Insert Delta_up: 0.058365
Move  Insert Delta_down: 0.0611883
Move set Remove two operators: 0.0603617
Move  Remove Delta_up: 0.0596815
Move  Remove Delta_down: 0.0610421
Move set Insert four operators: 0.00507342
Move  Insert Delta_up_up: 0.00552225
Move  Insert Delta_up_down: 0.00502914
Move  Insert Delta_down_up: 0.00519481
Move  Insert Delta_down_down: 0.0045431
Move set Remove four operators: 0.00475572
Move  Remove Delta_up_up: 0.00474486
Move  Remove Delta_up_down: 0.00519264
Move  Remove Delta_down_up: 0.00452235
Move  Remove Delta_down_down: 0.00455891
Move  Shift one operator: 0.0425655
[Rank 0] Warmup lasted: 0.0640778 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.1291 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9972
Average order: 1.1918
Auto-correlation time: 2.29282

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-4.5*c_dag('down',0)*c('down',0) + -4.5*c_dag('up',0)*c('up',0) + 9*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:56 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:57  76% ETA 00:00:00 cycle 7662 of 10000
17:36:57 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00114987
Average order         | 0.000175873
Average sign          | 0.000174441
G_tau measure         | 0.000509332
Total measure time    | 0.00200951
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.059439
Move  Insert Delta_up: 0.0581668
Move  Insert Delta_down: 0.0607138
Move set Remove two operators: 0.0597239
Move  Remove Delta_up: 0.0590741
Move  Remove Delta_down: 0.06037
Move set Insert four operators: 0.00484312
Move  Insert Delta_up_up: 0.0048189
Move  Insert Delta_up_down: 0.00515876
Move  Insert Delta_down_up: 0.00478774
Move  Insert Delta_down_down: 0.00460903
Move set Remove four operators: 0.00469727
Move  Remove Delta_up_up: 0.0042228
Move  Remove Delta_up_down: 0.0049556
Move  Remove Delta_down_up: 0.00490294
Move  Remove Delta_down_down: 0.00470213
Move  Shift one operator: 0.0419401
[Rank 0] Warmup lasted: 0.063158 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.129703 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9962
Average order: 1.1825
Auto-correlation time: 3.99906

Iteration = 8 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-4.5*c_dag('down',0)*c('down',0) + -4.5*c_dag('up',0)*c('up',0) + 9*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:57 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:57  76% ETA 00:00:00 cycle 7668 of 10000
17:36:57 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00113999
Average order         | 0.000175873
Average sign          | 0.000177145
G_tau measure         | 0.000494697
Total measure time    | 0.0019877
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.059728
Move  Insert Delta_up: 0.058413
Move  Insert Delta_down: 0.0610475
Move set Remove two operators: 0.06057
Move  Remove Delta_up: 0.0601686
Move  Remove Delta_down: 0.0609698
Move set Insert four operators: 0.00533349
Move  Insert Delta_up_up: 0.00561465
Move  Insert Delta_up_down: 0.00525122
Move  Insert Delta_down_up: 0.00578842
Move  Insert Delta_down_down: 0.00467645
Move s

Iteration = 9 / 10
et Remove four operators: 0.00479575
Move  Remove Delta_up_up: 0.00452891
Move  Remove Delta_up_down: 0.00515258
Move  Remove Delta_down_up: 0.00471774
Move  Remove Delta_down_down: 0.0047805
Move  Shift one operator: 0.0424987
[Rank 0] Warmup lasted: 0.063466 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.130279 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9944
Average order: 1.1765
Auto-correlation time: 2.40606

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-4.5*c_dag('down',0)*c('down',0) + -4.5*c_dag('up',0)*c('up',0) + 9*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:57 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:57  75% ETA 00:00:00 cycle 7561 of 10000
17:36:57 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00118073
Average order         | 0.000176595
Average sign          | 0.000176277
G_tau measure         | 0.00126962
Total measure time    | 0.00280322
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0596867
Move  Insert Delta_up: 0.0584019
Move  Insert Delta_down: 0.060971
Move set Remove two operators: 0.0597209
Move  Remove Delta_up: 0.0586373
Move  Remove Delta_down: 0.0608016
Move set Insert four operators: 0.00478203
Move  Insert Delta_up_up: 0.00492844
Move  Insert Delta_up_down: 0.00489903
Move  Insert Delta_down_up: 0.00478374
Move  Insert Delta_down_down: 0.00451458
Move

Iteration = 10 / 10
set Remove four operators: 0.00471166
Move  Remove Delta_up_up: 0.00471679
Move  Remove Delta_up_down: 0.00453695
Move  Remove Delta_down_up: 0.00521538
Move  Remove Delta_down_down: 0.00437776
Move  Shift one operator: 0.0399454
[Rank 0] Warmup lasted: 0.0650666 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.131095 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9982
Average order: 1.1588
Auto-correlation time: 3.33519

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-4.5*c_dag('down',0)*c('down',0) + -4.5*c_dag('up',0)*c('up',0) + 9*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:57 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:57  77% ETA 00:00:00 cycle 7707 of 10000
17:36:57 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00112932
Average order         | 0.000173649
Average sign          | 0.000176619
G_tau measure         | 0.0005733
Total measure time    | 0.00205289
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0604564
Move  Insert Delta_up: 0.0588577
Move  Insert Delta_down: 0.0620602
Move set Remove two operators: 0.0606382
Move  Remove Delta_up: 0.0597842
Move  Remove Delta_down: 0.0614869
Move set Insert four operators: 0.00508035
Move  Insert Delta_up_up: 0.00542338
Move  Insert Delta_up_down: 0.0051973
Move  Insert Delta_down_up: 0.00528804
Move  Insert Delta_down_down: 0.00440811
MoveU = 10.0
set Remove four operators: 0.00493871
Move  Remove Delta_up_up: 0.00482393
Move  Remove Delta_up_down: 0.00470077
Move  Remove Delta_down_up: 0.00566008
Move  Remove Delta_down_down: 0.0045722
Move  Shift one operator: 0.0412753
[Rank 0] Warmup lasted: 0.0632685 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.129126 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9968
Average order: 1.1691
Auto-correlation time: 0.90488

Iteration = 1 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-5*c_dag('down',0)*c('down',0) + -5*c_dag('up',0)*c('up',0) + 10*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:57 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:57  49% ETA 00:00:00 cycle 4971 of 10000
17:36:58 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00118772
Average order         | 0.000174399
Average sign          | 0.000175365
G_tau measure         | 0.000724154
Total measure time    | 0.00226164
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0715393
Move  Insert Delta_up: 0.0714001
Move  Insert Delta_down: 0.0716792
Move set Remove two operators: 0.0708063
Move  Remove Delta_up: 0.0703415
Move  Remove Delta_down: 0.07127
Move set Insert four operators: 0.0109482
Move  Insert Delta_up_up: 0.00810392
Move  Insert Delta_up_down: 0.013351
Move  Insert Delta_down_up: 0.014284
Move  Insert Delta_down_down: 0.00807161
Move set

Iteration = 2 / 10Remove four operators: 0.0114495
Move  Remove Delta_up_up: 0.00895825
Move  Remove Delta_up_down: 0.0147422
Move  Remove Delta_down_up: 0.0144898
Move  Remove Delta_down_down: 0.00756817
Move  Shift one operator: 0.136485
[Rank 0] Warmup lasted: 0.0947748 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.201123 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 2.8101
Auto-correlation time: 9.33423

Iteration = 3 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-5*c_dag('down',0)*c('down',0) + -5*c_dag('up',0)*c('up',0) + 10*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:58 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:58  77% ETA 00:00:00 cycle 7784 of 10000
17:36:58 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00114748
Average order         | 0.000173434
Average sign          | 0.000173643
G_tau measure         | 0.000492445
Total measure time    | 0.001987
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0620445
Move  Insert Delta_up: 0.0613942
Move  Insert Delta_down: 0.0626974
Move set Remove two operators: 0.0624537
Move  Remove Delta_up: 0.0626078
Move  Remove Delta_down: 0.0623003
Move set Insert four operators: 0.00688384
Move  Insert Delta_up_up: 0.00590854
Move  Insert Delta_up_down: 0.00871756
Move  Insert Delta_down_up: 0.00824825
Move  Insert Delta_down_down: 0.00467794
Move set Remove four operators: 0.00658183
Move  Remove Delta_up_up: 0.00538131
Move  Remove Delta_up_down: 0.00726536
Move  Remove Delta_down_up: 0.00855818
Move  Remove Delta_down_down: 0.0050996
Move  Shift one operator: 0.0414626
[Rank 0] Warmup lasted: 0.0618828 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.127212 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 1.1285
Auto-correlation time: 2.2533

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-5*c_dag('down',0)*c('down',0) + -5*c_dag('up',0)*c('up',0) + 10*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:58 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:58  80% ETA 00:00:00 cycle 8085 of 10000
17:36:58 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00114792
Average order         | 0.000171199
Average sign          | 0.000170999
G_tau measure         | 0.000497123
Total measure time    | 0.00198724
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0558467
Move  Insert Delta_up: 0.0548354
Move  Insert Delta_down: 0.0568613
Move set Remove two operators: 0.0563139
Move  Remove Delta_up: 0.0556514
Move  Remove Delta_down: 0.0569743
Move set Insert four operators: 0.00437746
Move  Insert Delta_up_up: 0.00445812
Move  Insert Delta_up_down: 0.00470138
Move  Insert Delta_down_up: 0.00439052
Move  Insert Delta_down_down: 0.00395763
Mo

Iteration = 4 / 10
ve set Remove four operators: 0.00414735
Move  Remove Delta_up_up: 0.00428681
Move  Remove Delta_up_down: 0.00416849
Move  Remove Delta_down_up: 0.00410326
Move  Remove Delta_down_down: 0.00403258
Move  Shift one operator: 0.0347029
[Rank 0] Warmup lasted: 0.0598513 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.122534 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9994
Average order: 1.0673
Auto-correlation time: 3.48919

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-5*c_dag('down',0)*c('down',0) + -5*c_dag('up',0)*c('up',0) + 10*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:58 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:58  80% ETA 00:00:00 cycle 8093 of 10000
17:36:58 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.0011215
Average order         | 0.000173062
Average sign          | 0.00017243
G_tau measure         | 0.000481739
Total measure time    | 0.00194873
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0551622
Move  Insert Delta_up: 0.0540573
Move  Insert Delta_down: 0.056271
Move set Remove two operators: 0.0554291
Move  Remove Delta_up: 0.0548532
Move  Remove Delta_down: 0.0560021
Move set Insert four operators: 0.00379637
Move  Insert Delta_up_up: 0.00380545
Move  Insert Delta_up_down: 0.00399505
Move  Insert Delta_down_up: 0.00374965
Move  Insert Delta_down_down: 0.00363535
Move set Remove four operators: 0.00366381
Move  Remove Delta_up_up: 0.00335177
Move  Remove Delta_up_down: 0.00377209
Move  Remove Delta_down_up: 0.00381376
Move  Remove Delta_down_down: 0.00371272
Move  Shift one operator: 0.0336264
[Rank 0] Warmup lasted: 0.0597385 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.12209 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9988
Average order: 1.0624
Auto-correlation time: 3.12545

Iteration = 5 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-5*c_dag('down',0)*c('down',0) + -5*c_dag('up',0)*c('up',0) + 10*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:58 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:58  81% ETA 00:00:00 cycle 8174 of 10000
17:36:58 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00113455
Average order         | 0.000172962
Average sign          | 0.000172111
G_tau measure         | 0.000494535
Total measure time    | 0.00197415
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0555556
Move  Insert Delta_up: 0.0548071
Move  Insert Delta_down: 0.056308
Move set Remove two operators: 0.0565826
Move  Remove Delta_up: 0.0561847
Move  Remove Delta_down: 0.0569795
Move set Insert four operators: 0.00401386
Move  Insert Delta_up_up: 0.00431683
Move  Insert Delta_up_down: 0.00367912
Move  Insert Delta_down_up: 0.00402102
Move  Insert Delta_down_down: 0.00403548
Move set Remove four operators: 0.00343265
Move  Remove Delta_up_up: 0.00319218
Move  Remove Delta_up_down: 0.00357058
Move  Remove Delta_down_up: 0.00384326
Move  Remove Delta_down_down: 0.00311738
Move  Shift one operator: 0.0336175
[Rank 0] Warmup lasted: 0.0608379 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.120854 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9988
Average order: 1.0345
Auto-correlation time: 3.44062

Iteration = 6 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:

Iteration = 7 / 10
-5*c_dag('down',0)*c('down',0) + -5*c_dag('up',0)*c('up',0) + 10*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:58 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:59  81% ETA 00:00:00 cycle 8150 of 10000
17:36:59 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.0011493
Average order         | 0.000176394
Average sign          | 0.000175145
G_tau measure         | 0.000636652
Total measure time    | 0.00213749
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0561644
Move  Insert Delta_up: 0.0553785
Move  Insert Delta_down: 0.0569541
Move set Remove two operators: 0.0563292
Move  Remove Delta_up: 0.0563507
Move  Remove Delta_down: 0.0563077
Move set Insert four operators: 0.0040616
Move  Insert Delta_up_up: 0.00442985
Move  Insert Delta_up_down: 0.00424611
Move  Insert Delta_down_up: 0.00385272
Move  Insert Delta_down_down: 0.00371569
Move set Remove four operators: 0.00386509
Move  Remove Delta_up_up: 0.003755
Move  Remove Delta_up_down: 0.00376864
Move  Remove Delta_down_up: 0.00392764
Move  Remove Delta_down_down: 0.00400866
Move  Shift one operator: 0.0356184
[Rank 0] Warmup lasted: 0.0611042 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.121234 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9978
Average order: 1.0107
Auto-correlation time: 3.51989

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-5*c_dag('down',0)*c('down',0) + -5*c_dag('up',0)*c('up',0) + 10*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 8 / 10Found 4 subspaces.

Warming up ...
17:36:59 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:59  80% ETA 00:00:00 cycle 8028 of 10000
17:36:59 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00113187
Average order         | 0.000172906
Average sign          | 0.000173854
G_tau measure         | 0.00119973
Total measure time    | 0.00267836
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0569562
Move  Insert Delta_up: 0.0557674
Move  Insert Delta_down: 0.0581538
Move set Remove two operators: 0.0573977
Move  Remove Delta_up: 0.0568736
Move  Remove Delta_down: 0.057919
Move set Insert four operators: 0.00397292
Move  Insert Delta_up_up: 0.00431444
Move  Insert Delta_up_down: 0.00403564
Move  Insert Delta_down_up: 0.00342248
Move  Insert Delta_down_down: 0.00411819
Move
set Remove four operators: 0.00370689
Move  Remove Delta_up_up: 0.00370983
Move  Remove Delta_up_down: 0.0034267
Move  Remove Delta_down_up: 0.00365311
Move  Remove Delta_down_down: 0.00403935
Move  Shift one operator: 0.0337761
[Rank 0] Warmup lasted: 0.0612707 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.122749 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9968
Average order: 1.0148
Auto-correlation time: 2.53234

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-5*c_dag('down',0)*c('down',0) + -5*c_dag('up',0)*c('up',0) + 10*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 9 / 10Found 4 subspaces.

Warming up ...
17:36:59 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:59  80% ETA 00:00:00 cycle 8010 of 10000
17:36:59 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00115006
Average order         | 0.000171089
Average sign          | 0.000170973
G_tau measure         | 0.000614332
Total measure time    | 0.00210645
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0595088
Move  Insert Delta_up: 0.0578924
Move  Insert Delta_down: 0.0611341
Move set Remove two operators: 0.0595746
Move  Remove Delta_up: 0.0587787
Move  Remove Delta_down: 0.0603688
Move set Insert four operators: 0.00426946
Move  Insert Delta_up_up: 0.00422307
Move  Insert Delta_up_down: 0.00518465
Move  Insert Delta_down_up: 0.00388528
Move  Insert Delta_down_down: 0.00378426
Move set Remove four operators: 0.00421233
Move  Remove Delta_up_up: 0.00335218
Move  Remove Delta_up_down: 0.00464931
Move  Remove Delta_down_up: 0.00480216
Move  Remove Delta_down_down: 0.00403033
Move  Shift one operator: 0.0367278
[Rank 0] Warmup lasted: 0.0603263 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.123466 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9806
Average order: 1.0485
Auto-correlation time: 2.82185

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-5*c_dag('down',0)*c('down',0) + -5*c_dag('up',0)*c('up',0) + 10*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 10 / 10
Found 4 subspaces.

Warming up ...
17:36:59 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:59  81% ETA 00:00:00 cycle 8154 of 10000
17:36:59 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00112582
Average order         | 0.000175281
Average sign          | 0.000174666
G_tau measure         | 0.000548011
Total measure time    | 0.00202378
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.056208
Move  Insert Delta_up: 0.0553238
Move  Insert Delta_down: 0.0570951
Move set Remove two operators: 0.0564072
Move  Remove Delta_up: 0.0561066
Move  Remove Delta_down: 0.0567066
Move set Insert four operators: 0.00407237
Move  Insert Delta_up_up: 0.00458353
Move  Insert Delta_up_down: 0.00414805
Move  Insert Delta_down_up: 0.00358938
Move  Insert Delta_down_down: 0.00396333
Move set Remove four operators: 0.00385295
Move  Remove Delta_up_up: 0.00384102
Move  Remove Delta_up_down: 0.00381134
Move  Remove Delta_down_up: 0.00384082
Move  Remove Delta_down_down: 0.0039189
Move  Shift one operator: 0.0336746
[Rank 0] Warmup lasted: 0.0591636 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.121264 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9988
Average order: 1.0118
Auto-correlation time: 3.32063

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-5*c_dag('down',0)*c('down',0) + -5*c_dag('up',0)*c('up',0) + 10*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:36:59 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:36:59  81% ETA 00:00:00 cycle 8130 of 10000
17:36:59 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00112664
Average order         | 0.000169903
Average sign          | 0.000170967
G_tau measure         | 0.000570233
Total measure time    | 0.00203775
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0565456
Move  Insert Delta_up: 0.0560489
Move  Insert Delta_down: 0.0570416
Move set Remove two operators: 0.0565554
Move  Remove Delta_up: 0.0566927
Move  Remove Delta_down: 0.0564188
Move set Insert four operators: 0.00394695
Move  Insert Delta_up_up: 0.00453041
Move  Insert Delta_up_down: 0.003751
Move  Insert Delta_down_up: 0.00377433
Move  Insert Delta_down_down: 0.00372447
Move set Remove four operators: 0.00393142
Move  Remove Delta_up_up: 0.00393605
Move  Remove Delta_up_down: 0.00351129
Move  Remove Delta_down_up: 0.00412257
Move  Remove Delta_down_down: 0.00415485
Move  Shift one operator: 0.03294
[Rank 0] Warmup lasted: 0.0595034 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.121777 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9982
Average order: 1.0399
Auto-correlation time: 2.72088
U = 11.0

Iteration = 1 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-5.5*c_dag('down',0)*c('down',0) + -5.5*c_dag('up',0)*c('up',0) + 11*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 2 / 10
Found 4 subspaces.

Warming up ...
17:37:00 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:37:00  54% ETA 00:00:00 cycle 5460 of 10000
17:37:00 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00114313
Average order         | 0.000173784
Average sign          | 0.000177948
G_tau measure         | 0.000703365
Total measure time    | 0.00219823
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0696534
Move  Insert Delta_up: 0.0698218
Move  Insert Delta_down: 0.0694839
Move set Remove two operators: 0.0686236
Move  Remove Delta_up: 0.0693558
Move  Remove Delta_down: 0.0678957
Move set Insert four operators: 0.0101898
Move  Insert Delta_up_up: 0.00760697
Move  Insert Delta_up_down: 0.0134782
Move  Insert Delta_down_up: 0.0128854
Move  Insert Delta_down_down: 0.00681329
Move set Remove four operators: 0.010656
Move  Remove Delta_up_up: 0.00783997
Move  Remove Delta_up_down: 0.0139799
Move  Remove Delta_down_up: 0.0135968
Move  Remove Delta_down_down: 0.00715714
Move  Shift one operator: 0.113309
[Rank 0] Warmup lasted: 0.0920199 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.183328 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 2.3798
Auto-correlation time: 6.84919

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-5.5*c_dag('down',0)*c('down',0) + -5.5*c_dag('up',0)*c('up',0) + 11*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:37:00 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:37:00  82% ETA 00:00:00 cycle 8267 of 10000
17:37:00 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00113257
Average order         | 0.000174729
Average sign          | 0.000171475
G_tau measure         | 0.000655191
Total measure time    | 0.00213397
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0567635
Move  Insert Delta_up: 0.0558338
Move  Insert Delta_down: 0.0576938
Move set Remove two operators: 0.0570791
Move  Remove Delta_up: 0.0568651
Move  Remove Delta_down: 0.0572924
Move set Insert four operators: 0.00513888
Move  Insert Delta_up_up: 0.0044657
Move  Insert Delta_up_down: 0.00659921
Move  Insert Delta_down_up: 0.00590559
Move  Insert Delta_down_down: 0.00359382
Mov

Iteration = 3 / 10
e set Remove four operators: 0.00494392
Move  Remove Delta_up_up: 0.00375318
Move  Remove Delta_up_down: 0.00599587
Move  Remove Delta_down_up: 0.00600445
Move  Remove Delta_down_down: 0.00399808
Move  Shift one operator: 0.0324819
[Rank 0] Warmup lasted: 0.0581535 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.119753 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 0.9786
Auto-correlation time: 2.6009

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-5.5*c_dag('down',0)*c('down',0) + -5.5*c_dag('up',0)*c('up',0) + 11*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:37:00 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:37:00  85% ETA 00:00:00 cycle 8522 of 10000
17:37:00 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00113484
Average order         | 0.000174635
Average sign          | 0.00017281
G_tau measure         | 0.000471962
Total measure time    | 0.00195425
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0522979
Move  Insert Delta_up: 0.0514701
Move  Insert Delta_down: 0.0531272
Move set Remove two operators: 0.0526289
Move  Remove Delta_up: 0.0525332
Move  Remove Delta_down: 0.052724
Move set Insert four operators: 0.0035412
Move  Insert Delta_up_up: 0.00398847
Move  Insert Delta_up_down: 0.00370725
Move  Insert Delta_down_up: 0.00335209
Move  Insert Delta_down_down: 0.00311216
Move

Iteration = 4 / 10
set Remove four operators: 0.00335832
Move  Remove Delta_up_up: 0.00299014
Move  Remove Delta_up_down: 0.00369106
Move  Remove Delta_down_up: 0.0037407
Move  Remove Delta_down_down: 0.00300276
Move  Shift one operator: 0.0287871
[Rank 0] Warmup lasted: 0.0573234 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.116241 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9996
Average order: 0.9456
Auto-correlation time: 3.58899

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-5.5*c_dag('down',0)*c('down',0) + -5.5*c_dag('up',0)*c('up',0) + 11*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:37:00 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:37:00  85% ETA 00:00:00 cycle 8532 of 10000
17:37:00 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00112831
Average order         | 0.000175032
Average sign          | 0.000170599
G_tau measure         | 0.000477615
Total measure time    | 0.00195155
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0510253
Move  Insert Delta_up: 0.0504098
Move  Insert Delta_down: 0.0516432
Move set Remove two operators: 0.0515426
Move  Remove Delta_up: 0.051475
Move  Remove Delta_down: 0.0516099
Move set Insert four operators: 0.00340387
Move  Insert Delta_up_up: 0.00378519
Move  Insert Delta_up_down: 0.0032779
Move  Insert Delta_down_up: 0.0033044
Move  Insert Delta_down_down: 0.00324285
Move set Remove four operators: 0.00317778
Move  Remove Delta_up_up: 0.00283378
Move  Remove Delta_up_down: 0.00321952
Move  Remove Delta_down_up: 0.00370341
Move  Remove Delta_down_down: 0.00294856
Move  Shift one operator: 0.0277202
[Rank 0] Warmup lasted: 0.0570392 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.116499 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9996
Average order: 0.9533
Auto-correlation time: 2.78912

Iteration = 5 / 10

Iteration = 6 / 10
╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-5.5*c_dag('down',0)*c('down',0) + -5.5*c_dag('up',0)*c('up',0) + 11*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:37:00 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:37:00  84% ETA 00:00:00 cycle 8424 of 10000
17:37:01 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00113708
Average order         | 0.000174079
Average sign          | 0.000169747
G_tau measure         | 0.000516366
Total measure time    | 0.00199727
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0509114
Move  Insert Delta_up: 0.0494415
Move  Insert Delta_down: 0.0523881
Move set Remove two operators: 0.0515835
Move  Remove Delta_up: 0.0508587
Move  Remove Delta_down: 0.0523052
Move set Insert four operators: 0.00328518
Move  Insert Delta_up_up: 0.00378564
Move  Insert Delta_up_down: 0.00328526
Move  Insert Delta_down_up: 0.00299079
Move  Insert Delta_down_down: 0.00307324
Mo
ve set Remove four operators: 0.00292678
Move  Remove Delta_up_up: 0.00257701
Move  Remove Delta_up_down: 0.00286487
Move  Remove Delta_down_up: 0.0034609
Move  Remove Delta_down_down: 0.00279944
Move  Shift one operator: 0.0285168
[Rank 0] Warmup lasted: 0.0573744 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.117503 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9988
Average order: 0.9713
Auto-correlation time: 3.77243

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-5.5*c_dag('down',0)*c('down',0) + -5.5*c_dag('up',0)*c('up',0) + 11*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:37:01 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:37:01  84% ETA 00:00:00 cycle 8482 of 10000
17:37:01 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00112907
Average order         | 0.000171733
Average sign          | 0.000172552
G_tau measure         | 0.000497535
Total measure time    | 0.00197089
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0518978
Move  Insert Delta_up: 0.0515069
Move  Insert Delta_down: 0.0522911
Move set Remove two operators: 0.0524093
Move  Remove Delta_up: 0.0525957
Move  Remove Delta_down: 0.052223
Move set Insert four operators: 0.00326625
Move  Insert Delta_up_up: 0.00386679
Move  Insert Delta_up_down: 0.00304207
Move  Insert Delta_down_up: 0.00291603
Move  Insert Delta_down_down: 0.00323224
Move set Remove four operators: 0.00301172
Move  Remove Delta_up_up: 0.00279397
Move  Remove Delta_up_down: 0.00282048
Move  Remove Delta_down_up: 0.0035536
Move  Remove Delta_down_down: 0.00287666
Move  Shift one operator: 0.0282139
[Rank 0] Warmup lasted: 0.0573663 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.117064 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9988
Average order: 0.9679
Auto-correlation time: 2.24404

Iteration = 7 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-5.5*c_dag('down',0)*c('down',0) + -5.5*c_dag('up',0)*c('up',0) + 11*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 8 / 10
Found 4 subspaces.

Warming up ...
17:37:01 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:37:01  83% ETA 00:00:00 cycle 8341 of 10000
17:37:01 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.0011421
Average order         | 0.000175292
Average sign          | 0.00017538
G_tau measure         | 0.00057952
Total measure time    | 0.00207229
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0514406
Move  Insert Delta_up: 0.0510664
Move  Insert Delta_down: 0.0518164
Move set Remove two operators: 0.051954
Move  Remove Delta_up: 0.0523787
Move  Remove Delta_down: 0.0515301
Move set Insert four operators: 0.00338554
Move  Insert Delta_up_up: 0.00366893
Move  Insert Delta_up_down: 0.00344041
Move  Insert Delta_down_up: 0.00307385
Move  Insert Delta_down_down: 0.0033557
Move set Remove four operators: 0.00305853
Move  Remove Delta_up_up: 0.00254999
Move  Remove Delta_up_down: 0.00326173
Move  Remove Delta_down_up: 0.00297855
Move  Remove Delta_down_down: 0.00343698
Move  Shift one operator: 0.0282974
[Rank 0] Warmup lasted: 0.0568543 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.118557 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9992
Average order: 0.9675
Auto-correlation time: 3.34324

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-5.5*c_dag('down',0)*c('down',0) + -5.5*c_dag('up',0)*c('up',0) + 11*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:37:01 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:37:01  85% ETA 00:00:00 cycle 8588 of 10000
17:37:01 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00114523
Average order         | 0.000173347
Average sign          | 0.000170297
G_tau measure         | 0.000496129
Total measure time    | 0.001985
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0516234
Move  Insert Delta_up: 0.0507942
Move  Insert Delta_down: 0.0524561
Move set Remove two operators: 0.0515959
Move  Remove Delta_up: 0.0514668
Move  Remove Delta_down: 0.0517245
Move set Insert four operators: 0.00321691
Move  Insert Delta_up_up: 0.00343928
Move  Insert Delta_up_down: 0.00323961
Move  Insert Delta_down_up: 0.00322555
Move  Insert Delta_down_down: 0.00296047
Mo

Iteration = 9 / 10
ve set Remove four operators: 0.00319616
Move  Remove Delta_up_up: 0.00286625
Move  Remove Delta_up_down: 0.00345553
Move  Remove Delta_down_up: 0.00322388
Move  Remove Delta_down_down: 0.00323392
Move  Shift one operator: 0.0279356
[Rank 0] Warmup lasted: 0.0577107 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.115961 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.998
Average order: 0.9502
Auto-correlation time: 3.90419

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-5.5*c_dag('down',0)*c('down',0) + -5.5*c_dag('up',0)*c('up',0) + 11*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 10 / 10
Found 4 subspaces.

Warming up ...
17:37:01 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:37:01  85% ETA 00:00:00 cycle 8520 of 10000
17:37:01 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00113566
Average order         | 0.000171149
Average sign          | 0.000171571
G_tau measure         | 0.000505713
Total measure time    | 0.00198409
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0522993
Move  Insert Delta_up: 0.0518042
Move  Insert Delta_down: 0.0527968
Move set Remove two operators: 0.0523894
Move  Remove Delta_up: 0.0527668
Move  Remove Delta_down: 0.0520146
Move set Insert four operators: 0.00332163
Move  Insert Delta_up_up: 0.00385812
Move  Insert Delta_up_down: 0.00331033
Move  Insert Delta_down_up: 0.00287276
Move  Insert Delta_down_down: 0.00323793
Move set Remove four operators: 0.00320791
Move  Remove Delta_up_up: 0.00303251
Move  Remove Delta_up_down: 0.00257947
Move  Remove Delta_down_up: 0.00374368
Move  Remove Delta_down_down: 0.00347652
Move  Shift one operator: 0.0295904
[Rank 0] Warmup lasted: 0.0569472 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.116426 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.999
Average order: 0.9579
Auto-correlation time: 3.5502
U = 12.0

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-5.5*c_dag('down',0)*c('down',0) + -5.5*c_dag('up',0)*c('up',0) + 11*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:37:01 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:37:01  83% ETA 00:00:00 cycle 8308 of 10000
17:37:02 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00113861
Average order         | 0.00017479
Average sign          | 0.000171791
G_tau measure         | 0.000516632
Total measure time    | 0.00200182
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.052027
Move  Insert Delta_up: 0.0514887
Move  Insert Delta_down: 0.052567
Move set Remove two operators: 0.0525394
Move  Remove Delta_up: 0.0525082
Move  Remove Delta_down: 0.0525705
Move set Insert four operators: 0.00335517
Move  Insert Delta_up_up: 0.00413695
Move  Insert Delta_up_down: 0.00323186
Move  Insert Delta_down_up: 0.00292926
Move  Insert Delta_down_down: 0.00311042
Move set Remove four operators: 0.00302516
Move  Remove Delta_up_up: 0.00310847
Move  Remove Delta_up_down: 0.00289752
Move  Remove Delta_down_up: 0.00330243
Move  Remove Delta_down_down: 0.00279307
Move  Shift one operator: 0.0301017
[Rank 0] Warmup lasted: 0.05751 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.11865 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9998
Average order: 0.9797
Auto-correlation time: 4.09128

Iteration = 1 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-6*c_dag('down',0)*c('down',0) + -6*c_dag('up',0)*c('up',0) + 12*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 2 / 10
Found 4 subspaces.

Warming up ...
17:37:02 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:37:02  57% ETA 00:00:00 cycle 5758 of 10000
17:37:02 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.0011648
Average order         | 0.000171131
Average sign          | 0.000177031
G_tau measure         | 0.00052665
Total measure time    | 0.00203961
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0659214
Move  Insert Delta_up: 0.0645032
Move  Insert Delta_down: 0.0673451
Move set Remove two operators: 0.0664132
Move  Remove Delta_up: 0.0657103
Move  Remove Delta_down: 0.0671124
Move set Insert four operators: 0.00972141
Move  Insert Delta_up_up: 0.00816553
Move  Insert Delta_up_down: 0.0120463
Move  Insert Delta_down_up: 0.0123374
Move  Insert Delta_down_down: 0.00630649
Move set Remove four operators: 0.00948341
Move  Remove Delta_up_up: 0.00713825
Move  Remove Delta_up_down: 0.0120053
Move  Remove Delta_down_up: 0.0127712
Move  Remove Delta_down_down: 0.00596812
Move  Shift one operator: 0.0996916
[Rank 0] Warmup lasted: 0.0850222 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.173681 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 2.1975
Auto-correlation time: 6.8545

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-6*c_dag('down',0)*c('down',0) + -6*c_dag('up',0)*c('up',0) + 12*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 3 / 10
Found 4 subspaces.

Warming up ...
17:37:02 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:37:02  85% ETA 00:00:00 cycle 8541 of 10000
17:37:02 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00114865
Average order         | 0.000173988
Average sign          | 0.000171794
G_tau measure         | 0.00119219
Total measure time    | 0.00268662
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0532849
Move  Insert Delta_up: 0.0522147
Move  Insert Delta_down: 0.0543555
Move set Remove two operators: 0.053342
Move  Remove Delta_up: 0.0532922
Move  Remove Delta_down: 0.0533916
Move set Insert four operators: 0.00446188
Move  Insert Delta_up_up: 0.00427029
Move  Insert Delta_up_down: 0.0056238
Move  Insert Delta_down_up: 0.00476629
Move  Insert Delta_down_down: 0.0031903
Move set Remove four operators: 0.00436633
Move  Remove Delta_up_up: 0.00327022
Move  Remove Delta_up_down: 0.00473538
Move  Remove Delta_down_up: 0.00557037
Move  Remove Delta_down_down: 0.00387195
Move  Shift one operator: 0.0277647
[Rank 0] Warmup lasted: 0.05598 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.116407 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 1
Average order: 0.8927
Auto-correlation time: 2.53428

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-6*c_dag('down',0)*c('down',0) + -6*c_dag('up',0)*c('up',0) + 12*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 4 / 10
Found 4 subspaces.

Warming up ...
17:37:02 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:37:02  88% ETA 00:00:00 cycle 8864 of 10000
17:37:02 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00113772
Average order         | 0.000172391
Average sign          | 0.000173831
G_tau measure         | 0.000667482
Total measure time    | 0.00215142
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0487876
Move  Insert Delta_up: 0.0475343
Move  Insert Delta_down: 0.0500452
Move set Remove two operators: 0.0492262
Move  Remove Delta_up: 0.0486641
Move  Remove Delta_down: 0.0497856
Move set Insert four operators: 0.00317577
Move  Insert Delta_up_up: 0.0035957
Move  Insert Delta_up_down: 0.00350054
Move  Insert Delta_down_up: 0.00284136
Move  Insert Delta_down_down: 0.00275857
Move set Remove four operators: 0.00292205
Move  Remove Delta_up_up: 0.00258701
Move  Remove Delta_up_down: 0.00302885
Move  Remove Delta_down_up: 0.00338107
Move  Remove Delta_down_down: 0.0026844
Move  Shift one operator: 0.0236387
[Rank 0] Warmup lasted: 0.0545816 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.112377 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9998
Average order: 0.8792
Auto-correlation time: 3.32021

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-6*c_dag('down',0)*c('down',0) + -6*c_dag('up',0)*c('up',0) + 12*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:37:02 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:37:02  86% ETA 00:00:00 cycle 8611 of 10000
17:37:02 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00115159
Average order         | 0.000175224
Average sign          | 0.000172538
G_tau measure         | 0.000641879
Total measure time    | 0.00214123
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.048189
Move  Insert Delta_up: 0.0475752
Move  Insert Delta_down: 0.048804
Move set Remove two operators: 0.048684
Move  Remove Delta_up: 0.0485661
Move  Remove Delta_down: 0.0488014
Move set Insert four operators: 0.00280902
Move  Insert Delta_up_up: 0.00324111
Move  Insert Delta_up_down: 0.00320282
Move  Insert Delta_down_up: 0.00247802
Move  Insert Delta_down_down: 0.0023114
Move s

Iteration = 5 / 10
et Remove four operators: 0.0025366
Move  Remove Delta_up_up: 0.00258148
Move  Remove Delta_up_down: 0.00246217
Move  Remove Delta_down_up: 0.00286055
Move  Remove Delta_down_down: 0.00224081
Move  Shift one operator: 0.0246712
[Rank 0] Warmup lasted: 0.0560449 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.114722 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9992
Average order: 0.9191
Auto-correlation time: 3.93015

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-6*c_dag('down',0)*c('down',0) + -6*c_dag('up',0)*c('up',0) + 12*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 6 / 10
Found 4 subspaces.

Warming up ...
17:37:02 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:37:03  86% ETA 00:00:00 cycle 8682 of 10000
17:37:03 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00113351
Average order         | 0.00017218
Average sign          | 0.000169732
G_tau measure         | 0.00061197
Total measure time    | 0.0020874
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0482681
Move  Insert Delta_up: 0.0473526
Move  Insert Delta_down: 0.0491879
Move set Remove two operators: 0.0482165
Move  Remove Delta_up: 0.0481162
Move  Remove Delta_down: 0.0483167
Move set Insert four operators: 0.00294627
Move  Insert Delta_up_up: 0.00344064
Move  Insert Delta_up_down: 0.00291673
Move  Insert Delta_down_up: 0.00275251
Move  Insert Delta_down_down: 0.00267103
Move set Remove four operators: 0.00298406
Move  Remove Delta_up_up: 0.0026251
Move  Remove Delta_up_down: 0.00285476
Move  Remove Delta_down_up: 0.00329326
Move  Remove Delta_down_down: 0.00315823
Move  Shift one operator: 0.0246552
[Rank 0] Warmup lasted: 0.0552698 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.114393 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9972
Average order: 0.911
Auto-correlation time: 2.88386

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-6*c_dag('down',0)*c('down',0) + -6*c_dag('up',0)*c('up',0) + 12*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 7 / 10
Found 4 subspaces.

Warming up ...
17:37:03 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:37:03  86% ETA 00:00:00 cycle 8694 of 10000
17:37:03 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00112254
Average order         | 0.000171682
Average sign          | 0.000169843
G_tau measure         | 0.000609689
Total measure time    | 0.00207376
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.048889
Move  Insert Delta_up: 0.0478555
Move  Insert Delta_down: 0.0499248
Move set Remove two operators: 0.049152
Move  Remove Delta_up: 0.0484824
Move  Remove Delta_down: 0.0498193
Move set Insert four operators: 0.003037
Move  Insert Delta_up_up: 0.00320006
Move  Insert Delta_up_down: 0.00327777
Move  Insert Delta_down_up: 0.0029207
Move  Insert Delta_down_down: 0.00274846
Move set Remove four operators: 0.00285318
Move  Remove Delta_up_up: 0.00254032
Move  Remove Delta_up_down: 0.00293476
Move  Remove Delta_down_up: 0.00342016
Move  Remove Delta_down_down: 0.00251206
Move  Shift one operator: 0.0245681
[Rank 0] Warmup lasted: 0.0554533 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.113913 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9988
Average order: 0.8968
Auto-correlation time: 4.21281

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-6*c_dag('down',0)*c('down',0) + -6*c_dag('up',0)*c('up',0) + 12*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:37:03 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:37:03  87% ETA 00:00:00 cycle 8797 of 10000
17:37:03 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00112889
Average order         | 0.000174991
Average sign          | 0.000176317
G_tau measure         | 0.000609379
Total measure time    | 0.00208958
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0473094
Move  Insert Delta_up: 0.045965
Move  Insert Delta_down: 0.048656
Move set Remove two operators: 0.0473527
Move  Remove Delta_up: 0.046369
Move  Remove Delta_down: 0.0483339
Move set Insert four operators: 0.00272949
Move  Insert Delta_up_up: 0.00316006
Move  Insert Delta_up_down: 0.00287265
Move  Insert Delta_down_up: 0.00244254
Move  Insert Delta_down_down: 0.00243698
Move set Remove four operators: 0.0026367
Move  Remove Delta_up_up: 0.00258314
Move  Remove Delta_up_down: 0.00241881
Move  Remove Delta_down_up: 0.00319259
Move  Remove Delta_down_down: 0.00235322
Move  Shift one operator: 0.0233294
[Rank 0] Warmup lasted: 0.0548638 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.113268 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9988
Average order: 0.8957
Auto-correlation time: 2.51035

Iteration = 8 / 10

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-6*c_dag('down',0)*c('down',0) + -6*c_dag('up',0)*c('up',0) + 12*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space

Iteration = 9 / 10
Found 4 subspaces.

Warming up ...
17:37:03 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:37:03  87% ETA 00:00:00 cycle 8705 of 10000
17:37:03 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00116392
Average order         | 0.000174849
Average sign          | 0.000171033
G_tau measure         | 0.000573339
Total measure time    | 0.00208315
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0488708
Move  Insert Delta_up: 0.048186
Move  Insert Delta_down: 0.0495586
Move set Remove two operators: 0.0490466
Move  Remove Delta_up: 0.0489142
Move  Remove Delta_down: 0.049178
Move set Insert four operators: 0.00282094
Move  Insert Delta_up_up: 0.00316907
Move  Insert Delta_up_down: 0.00295433
Move  Insert Delta_down_up: 0.00271815
Move  Insert Delta_down_down: 0.00243883
Move set Remove four operators: 0.00273748
Move  Remove Delta_up_up: 0.00262902
Move  Remove Delta_up_down: 0.00272997
Move  Remove Delta_down_up: 0.00314165
Move  Remove Delta_down_down: 0.00244518
Move  Shift one operator: 0.0249233
[Rank 0] Warmup lasted: 0.0546016 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.11385 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.998
Average order: 0.9022
Auto-correlation time: 3.34419

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-6*c_dag('down',0)*c('down',0) + -6*c_dag('up',0)*c('up',0) + 12*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:37:03 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:37:03  87% ETA 00:00:00 cycle 8791 of 10000
17:37:03 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00113176
Average order         | 0.000173538
Average sign          | 0.000174227
G_tau measure         | 0.000500731
Total measure time    | 0.00198025
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0492124
Move  Insert Delta_up: 0.0484356
Move  Insert Delta_down: 0.049993
Move set Remove two operators: 0.0489308
Move  Remove Delta_up: 0.048871
Move  Remove Delta_down: 0.0489904
Move set Insert four operators: 0.00273515
Move  Insert Delta_up_up: 0.00326991
Move  Insert Delta_up_down: 0.00276099
Move  Insert Delta_down_up: 0.00255092
Move  Insert Delta_down_down: 0.00235247
Move

Iteration = 10 / 10
set Remove four operators: 0.00280445
Move  Remove Delta_up_up: 0.00258294
Move  Remove Delta_up_down: 0.0028585
Move  Remove Delta_down_up: 0.00317801
Move  Remove Delta_down_down: 0.00259388
Move  Shift one operator: 0.0245304
[Rank 0] Warmup lasted: 0.0553609 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.112756 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9986
Average order: 0.8688
Auto-correlation time: 3.98793

╔╦╗╦═╗╦╔═╗ ╔═╗  ┌─┐┌┬┐┬ ┬┬ ┬┌┐
║ ╠╦╝║║═╬╗╚═╗  │   │ ├─┤└┬┘├┴┐
╩ ╩╚═╩╚═╝╚╚═╝  └─┘ ┴ ┴ ┴ ┴ └─┘

The local Hamiltonian of the problem:
-6*c_dag('down',0)*c('down',0) + -6*c_dag('up',0)*c('up',0) + 12*c_dag('down',0)*c_dag('up',0)*c('up',0)*c('down',0)
Using autopartition algorithm to partition the local Hilbert space
Found 4 subspaces.

Warming up ...
17:37:03 100% ETA 00:00:00 cycle 4999 of 5000

Accumulating ...
17:37:04  89% ETA 00:00:00 cycle 8983 of 10000
17:37:04 100% ETA 00:00:00 cycle 9999 of 10000

[Rank 0] Collect results: Waiting for all mpi-threads to finish accumulating...
[Rank 0] Timings for all measures:
Measure               | seconds
Auto-correlation time | 0.00112999
Average order         | 0.000172763
Average sign          | 0.000171394
G_tau measure         | 0.000627904
Total measure time    | 0.00210205
[Rank 0] Acceptance rate for all moves:
Move set Insert two operators: 0.0486702
Move  Insert Delta_up: 0.0479463
Move  Insert Delta_down: 0.0493956
Move set Remove two operators: 0.0488597
Move  Remove Delta_up: 0.0489007
Move  Remove Delta_down: 0.0488189
Move set Insert four operators: 0.00274177
Move  Insert Delta_up_up: 0.00356041
Move  Insert Delta_up_down: 0.00275273
Move  Insert Delta_down_up: 0.00252121
Move  Insert Delta_down_down: 0.00212272
Move set Remove four operators: 0.00257861
Move  Remove Delta_up_up: 0.00265775
Move  Remove Delta_up_down: 0.00242603
Move  Remove Delta_down_up: 0.00290282
Move  Remove Delta_down_down: 0.00232661
Move  Shift one operator: 0.0231697
[Rank 0] Warmup lasted: 0.0553643 seconds [00:00:00]
[Rank 0] Simulation lasted: 0.110655 seconds [00:00:00]
[Rank 0] Number of measures: 10000
Total number of measures: 10000
Average sign: 0.9978
Average order: 0.8281
Auto-correlation time: 1.23047


If you are stuck or short on time, take a sneak peek at the solution below. Note that there is a variable filling that can be set either to half or to quarter and that defines the filling of the problem.

Warning: don’t run the script, the calculations are quite long! It is just here for illustration purposes.

[2]:

%load scripts/two_band.py


For the following exercises, the calculations have already been performed for you, and the data is stored in the data/two_bands folder, see below. Use this data to perform the analysis below. Again, do not run the script on your machine!

[3]:

!ls data/two_band/

half-U1.00-J0.00.h5   half-U6.00-J0.00.h5      quarter-U2.00-J0.00.h5
half-U1.00-J0.10.h5   half-U6.00-J0.60.h5      quarter-U2.00-J0.20.h5
half-U1.00-J0.20.h5   half-U6.00-J1.20.h5      quarter-U2.00-J0.40.h5
half-U10.00-J0.00.h5  half-U7.00-J0.00.h5      quarter-U3.00-J0.00.h5
half-U10.00-J1.00.h5  half-U7.00-J0.70.h5      quarter-U3.00-J0.30.h5
half-U10.00-J2.00.h5  half-U7.00-J1.40.h5      quarter-U3.00-J0.60.h5
half-U11.00-J0.00.h5  half-U8.00-J0.00.h5      quarter-U4.00-J0.00.h5
half-U11.00-J1.10.h5  half-U8.00-J0.80.h5      quarter-U4.00-J0.40.h5
half-U11.00-J2.20.h5  half-U8.00-J1.60.h5      quarter-U4.00-J0.80.h5
half-U12.00-J0.00.h5  half-U9.00-J0.00.h5      quarter-U5.00-J0.00.h5
half-U12.00-J1.20.h5  half-U9.00-J0.90.h5      quarter-U5.00-J0.50.h5
half-U12.00-J2.40.h5  half-U9.00-J1.80.h5      quarter-U5.00-J1.00.h5
half-U2.00-J0.00.h5   quarter-U1.00-J0.00.h5   quarter-U6.00-J0.00.h5
half-U2.00-J0.20.h5   quarter-U1.00-J0.10.h5   quarter-U6.00-J0.60.h5
half-U2.00-J0.40.h5   quarter-U1.00-J0.20.h5   quarter-U6.00-J1.20.h5
half-U3.00-J0.00.h5   quarter-U10.00-J0.00.h5  quarter-U7.00-J0.00.h5
half-U3.00-J0.30.h5   quarter-U10.00-J1.00.h5  quarter-U7.00-J0.70.h5
half-U3.00-J0.60.h5   quarter-U10.00-J2.00.h5  quarter-U7.00-J1.40.h5
half-U4.00-J0.00.h5   quarter-U11.00-J0.00.h5  quarter-U8.00-J0.00.h5
half-U4.00-J0.40.h5   quarter-U11.00-J1.10.h5  quarter-U8.00-J0.80.h5
half-U4.00-J0.80.h5   quarter-U11.00-J2.20.h5  quarter-U8.00-J1.60.h5
half-U5.00-J0.00.h5   quarter-U12.00-J0.00.h5  quarter-U9.00-J0.00.h5
half-U5.00-J0.50.h5   quarter-U12.00-J1.20.h5  quarter-U9.00-J0.90.h5
half-U5.00-J1.00.h5   quarter-U12.00-J2.40.h5  quarter-U9.00-J1.80.h5


## Solution 1

Run the cell below to load the script that solves the two-orbital Hubbard model for a variety of filling, $$U$$ and $$J$$.

Warning: don’t run the script, the calculations are quite long! It is just here for illustration purposes.

[4]:

%load scripts/two_band.py


Exercise 2

Start by studying the problem at half-filling. By varying $$U$$ find the critical $$U_c$$ for the Mott transition for different values of $$J$$. How does $$U_c$$ change with $$J$$? Hint: take the following values for $$J/U = 0.0, 0.1, 0.2$$ and values of $$U/t$$ between 1 and 12. Use the data in the data/two_band directory that was generated for you using the scripts/two_band.py script.

## Solution 2

The Green’s functions and self-energies are saved in archives in the data/two_band subdirectory. Here is a plot of the Green’s functions for different values of $$U$$ at given $$J$$’s.

### J = 0.0

You will see that the Mott transition is somewhere between 6.0 and 7.0.

[5]:

%matplotlib inline
import numpy as np
from triqs.gf import *
from h5 import *
from triqs.plot.mpl_interface import plt,oplot
import matplotlib as mpl
mpl.rcParams['figure.dpi']=100

coeff = 0.0
for U in np.arange(1.0, 13.0):

J = coeff * U
A = HDFArchive("data/two_band/half-U%.2f-J%.2f.h5"%(U,J), 'r')
oplot(A['G-9']['up-0'].imag, 'o', name="U = %.2f"%U)

plt.xlim(0,10)
plt.show()


### J = 0.1 U

You will see that the Mott transition is somewhere between 4.0 and 5.0.

[6]:

coeff = 0.1
for U in np.arange(1.0, 13.0):

J = coeff * U
A = HDFArchive("data/two_band/half-U%.2f-J%.2f.h5"%(U,J), 'r')
oplot(A['G-9']['up-0'].imag, 'o', name="U = %.2f"%U)

plt.xlim(0,10)
plt.show()


### J = 0.2 U

You will see that the Mott transition is somewhere between 3.0 and 4.0.

[7]:

coeff = 0.2
for U in np.arange(1.0, 13.0):

J = coeff * U
A = HDFArchive("data/two_band/half-U%.2f-J%.2f.h5"%(U,J), 'r')
oplot(A['G-9']['up-0'].imag, 'o', name="U = %.2f"%U)

plt.xlim(0,10)
plt.show()


### Conclusion of Exercise 2

The value of $$U_c$$ is decreasing with increasing values of $$J$$! Can you understand why?

Exercise 3

Do the same study as in Exercise 2, but at quarter-filling. How does $$U_c$$ change with $$J$$? Take again values of $$J/U = 0.0, 0.1, 0.2$$ and values of $$U/t$$ between 1 and 12.

## Solution of exercise 3

The solution of the exercise is again the script called run_two_bands.py in the tutorial directory. You will have to change filling = 'quarter'. The generated archives are in the results subdirectory. Here is a plot of the Green’s functions for different values of $$U$$ at given $$J$$’s.

### J = 0.0

You will se that the Mott transition is somewhere between 5.0 and 6.0.

[8]:

coeff = 0.0
for U in np.arange(1.0, 13.0):

J = coeff * U
A = HDFArchive("data/two_band/quarter-U%.2f-J%.2f.h5"%(U,J), 'r')
oplot(A['G-9']['up-0'].imag, 'o', name="U = %.2f"%U)

plt.xlim(0,10)
plt.show()


### J = 0.1 U

You will see that the Mott transition is somewhere between 7.0 and 8.0.

[9]:

coeff = 0.1
for U in np.arange(1.0, 13.0):

J = coeff * U
A = HDFArchive("data/two_band/quarter-U%.2f-J%.2f.h5"%(U,J), 'r')
oplot(A['G-9']['up-0'].imag, 'o', name="U = %.2f"%U)

plt.xlim(0,10)
plt.show()


### J = 0.2 U

You will see that the Mott transition happens at values of $$U$$ larger than 12.

[10]:

coeff = 0.2
for U in np.arange(1.0, 13.0):

J = coeff * U
A = HDFArchive("data/two_band/quarter-U%.2f-J%.2f.h5"%(U,J), 'r')
oplot(A['G-9']['up-0'].imag, 'o', name="U = %.2f"%U)

plt.xlim(0,10)
plt.show()


### Conclusion of Exercise 3

Now the value of $$U_c$$ is increasing with increasing values of $$J$$! Why? Numerically, this can also be investigated by looking at the impurity multiplets and their respective energies for different $$U,J$$ settings.

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