2017/07/31 by William G. Dawkins, Alexandros Gezerlis
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Boundary value problem #Cold Atom Physics and Bose-Einstein Condensates #Mathematics #Monte Carlo method #Particle (ecology) #Path integral Monte Carlo #Path integral formulation #Periodic boundary conditions #Physics #Quantum #Quantum Monte Carlo #Quantum mechanics #Quantum, superfluid, helium dynamics #Statistical mechanics #Statistical physics #Thermodynamic limit #cond-mat.quant-gas #nucl-th
paper · pdf · doi:10.1103/physreva.96.043619
published as Phys. Rev. A 96, 043619 (2017) · 10 pages, 10 figures; v2 corresponds to published version
arxiv created 2017/10/18 · openalex publication_date 2017/10/18 · arxiv updated 2017/10/19 · openalex created_date 2017/11/10 · openalex updated_date 2026/08/05
Ultracold atomic systems have been of great research interest in the past, with more recent attention being paid to systems of mixed species. In this work, we carry out nonperturbative path-integral Monte Carlo (PIMC) simulations of N distinguishable particles at finite temperature, which can be thought of as an ultracold atomic system containing N distinct species. We use the PIMC approach to calculate thermodynamic properties of particles interacting via hard-sphere and hard-cavity potentials. The first problem we study is a two-particle system interacting via a hard-sphere and hard-cavity interaction in order to test the effectiveness of two approximations for the thermal density matrix corresponding to these potentials. We then apply the PIMC method to a system of many hard-sphere particles under periodic boundary conditions at varying temperature in order to calculate the energy per particle, pressure, and specific heat of the system. We examine how finite-size effects impact the results of PIMC simulations of hard-sphere particles and when the thermodynamic limit has been reached. Our results provide microscopic benchmarks for a system containing distinguishable particles, which can be thought of as a limiting case for ultracold atomic systems of mixed species.