Fig. 6: The QMC results of the two-point imaginary-time correlation \(\langle {S}_{i}^{x}(\tau ){S}_{i+1}^{x}(0)\rangle\). | Nature Communications

Fig. 6: The QMC results of the two-point imaginary-time correlation \(\langle {S}_{i}^{x}(\tau ){S}_{i+1}^{x}(0)\rangle\).

From: Addressing general measurements in quantum Monte Carlo

Fig. 6

a The ratio for fixed two-point imaginary-time correlations as the parameter Δ varies in the XXZ chain, with L = 8 and β = 10. For clarity, we plotted only 15 parameter points from the dataset, each matching the ED results (black line). All data points are calculated starting from the Heisenberg condition Δ = 1. b The imaginary-time off-diagonal correlation in the XXZ chain with L = 32 and β = 64 for τ = β/4 and τ = β/8. The associated error bars ( ± 1σ) represent the standard error.

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