Numerical calculation of Green's function and momentum distribution for spin-polarized fermions by path integral molecular dynamics

TL;DR

This paper develops a path integral molecular dynamics method to compute Green's functions and momentum distributions for spin-polarized fermions, enabling insights into quantum systems like cold atom simulations.

Contribution

It introduces a novel application of PIMD to calculate Green's functions and momentum distributions for fermions, expanding its utility beyond bosons.

Findings

PIMD can effectively compute Green's functions for fermions.

Momentum distribution results are relevant for cold atom systems.

Potential applications include simulating Fermi-Hubbard models.

Abstract

Most recently, path integral molecular dynamics (PIMD) has been successfully applied to perform simulations of identical bosons and fermions by B. Hirshberg et al.. In this work, we demonstrate that PIMD can be developed to calculate Green's function and extract momentum distribution for spin-polarized fermions. In particular, we show that the momentum distribution calculated by PIMD has potential application to numerous quantum systems, such as cold atom simulation of Mott insulator in Fermi-Hubbard model.