Jellium at finite temperature using the restricted worm algorithm

TL;DR

This paper introduces a novel quantum Monte Carlo algorithm for simulating the finite-temperature Jellium model of fermions, successfully addressing the fermion sign problem and aligning well with existing data.

Contribution

The authors developed and implemented the first application of the fixed-nodes free particles restriction within the canonical path integral worm algorithm for fermionic systems.

Findings

Results agree with recent high-density, low-temperature data

Algorithm effectively handles fermion sign problem

Applicable to various quantum fluid models of fermions

Abstract

We study the Jellium model of Wigner at finite, non-zero, temperature through a computer simulation using the canonical path integral worm algorithm where we successfully implemented the fixed-nodes free particles restriction necessary to circumvent the fermion sign problem. Our results show good agreement with the recent simulation data of Brown et al. and of other similar computer experiments on the Jellium model at high density and low temperature. Our algorithm can be used to treat any quantum fluid model of fermions at finite, non zero, temperature and has never been used before in literature.