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Quantum Simulation

Gaussian Reformulation of the Feynman Path Integral for Quantum Statistical Mechanics with Results for the Second Virial Coefficient of 4He

arXiv
Authors: Phil Attard

Year

2026

Paper ID

73571

Status

Preprint

Abstract Read

~2 min

Abstract Words

90

Citations

N/A

Abstract

The Feynman path integral for quantum statistical mechanics is reformulated as Gaussian sampling of the neighborhood of each position configuration. The variance and mean are obtained from ring polymer statistics on a lattice, and from the high temperature expansion of the Wigner-Kirkwood commutation function, respectively. The algorithm avoids multiple temperature nodes for each configuration and the need for numerical cancelation in the statistical averages, which are problematic for conventional path integral quantum Monte Carlo. Analytic and simulation results for the second virial coefficient of helium are compared to laboratory measurements.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • The Feynman path integral for quantum statistical mechanics is reformulated as Gaussian sampling of the neighborhood of each position configuration.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2607.16301 [2] arXiv https://arxiv.org/abs/2607.16301 [3] Publisher https://arxiv.org/abs/2607.16301

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