Path integral molecular dynamics for anyons, bosons and fermions

TL;DR

This paper introduces a unified path integral molecular dynamics approach to compute thermodynamic properties of anyons, bosons, and fermions, and demonstrates its effectiveness through applications to particles in a 2D harmonic trap.

Contribution

It develops a general numerical method for simulating the thermodynamics of identical particles, including anyons, using path integral molecular dynamics.

Findings

Successfully applied to systems in a 2D harmonic trap

Provides a method to calculate fermion energies via path integrals

Unifies treatment of bosons, fermions, and anyons

Abstract

In this article we develop a general method to numerically calculate physical properties for a system of anyons with path integral molecular dynamics. We provide a unified method to calculate the thermodynamics of identical bosons, fermions and anyons. Our method is tested and applied to systems of anyons, bosons and fermions in a two-dimensional harmonic trap. We also consider a method to calculate the energy for fermions as an application of the path integral molecular dynamics to simulate the anyon model.