# Path Integral Molecular Dynamics for Bosons

## TL;DR

This paper introduces a recursive path integral molecular dynamics method for simulating Bosons, efficiently handling exchange symmetry and accurately modeling Bosons in a 2D trap.

## Contribution

A novel recursive approach for including exchange symmetry in path integral molecular dynamics for Bosons, avoiding explicit permutation enumeration.

## Key findings

- Method scales cubically with system size
- Results agree with exact solutions for 2D trap Bosons
- Analysis of exchange effects at different temperatures

## Abstract

Trapped Bosons exhibit fundamental physical phenomena and are potentially useful for quantum technologies. We present a method for simulating Bosons using path integral molecular dynamics. A main challenge for simulations is including all permutations due to exchange symmetry. We show that evaluation of the potential can be done recursively, avoiding explicit enumeration of permutations, and scales cubically with system size. The method is applied to Bosons in a 2D trap and agrees with essentially exact results. An analysis of the role of exchange with decreasing temperature is also presented.