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.
[ ]: