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Analyze Results

dqmc-analyze

Extract physical observables with error estimates from completed DQMC simulations. Use when computing density, double occupancy, spin correlations, structure factors, or any measured quantity from simulation data.

SKILL.md

Full skill instructions

Analyze Results

Inputs

  • Directory containing bin_*.h5 files (completed simulations)
  • Observable names (see table below)

Outputs

  • Dictionary with parameters and (mean, stderr) tuples for each observable

Procedure

Basic analysis:

from dqmc_util import analyze_hub

data = analyze_hub.get("data/​run/", "sign", "den", "zzr")

print(f"sign = {data['sign'][0]:.4f} +/​- {data['sign'][1]:.4f}")
print(f"density = {data['den'][0]:.4f} +/​- {data['den'][1]:.4f}")

Available observables:

NameDescriptionRequires
signFermion sign-
denDensity <n>-
doccDouble occupancy <n_up n_down>-
gr, gkGreen's function (real/​k-space)-
nnr, nnqDensity correlator / structure factor-
zzr, zzqSpin-z correlator / structure factor-
xxrSpin-x correlator-
swq0S-wave pair structure factor-
nnrw0, zzrw0Zero-freq susceptibilitiesperiod_uneqlt > 0
dwq0tD-wave pair susceptibilityperiod_uneqlt > 0

Collect from multiple directories:

import os

def collect_results(base_dir, observables):
    results = []
    for subdir in sorted(os.listdir(base_dir)):
        path = os.path.join(base_dir, subdir)
        if os.path.isdir(path):
            try:
                results.append(analyze_hub.get(path + "/", *observables))
            except Exception as e:
                print(f"Skipping {path}: {e}")
    return results

Compute derived quantities:

# Magnetic moment squared from spin correlator
path = "data/​run/"
data = analyze_hub.get(path, "zzr")
mz2 = 4 * data["zzr"][0][0, 0]       # [0] = mean, shape (Ny, Nx)
mz2_err = 4 * data["zzr"][1][0, 0]   # [1] = stderr

Validation

  • Errorbar on sign is significantly less than mean. Otherwise, sign problem is too severe.
  • Errorbars on observable are reasonable (not >> mean)

Failure Modes

SymptomCauseRecovery
KeyError for observableObservable not computedCheck period_uneqlt setting
"No files found"Wrong path or no bin_*.h5Verify directory structure
Large error barsInsufficient statisticsRun more sweeps or bins

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