Path Integral Monte Carlo study of particles obeying quantum mechanics and classical statistics
arXiv:1707.01113 · doi:10.1103/PhysRevA.96.043619
Abstract
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 non-perturbative 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.
arXiv comment10 pages, 10 figures; v2 corresponds to published version
References in corpus (41)
- Many-Body Physics with Ultracold Gases
- Theory of Bose-Einstein condensation in trapped gases
- Feshbach Resonances in Ultracold Gases
- Theory of ultracold Fermi gases
- Superfluid Fermi Gases with Large Scattering Length
- Equation of state of a Fermi gas in the BEC-BCS crossover: a quantum Monte Carlo study
- Efimov Physics: a review
- A one-dimensional liquid of fermions with tunable spin
- Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism
- Ultracold Fermi Gases with Emergent SU(N) Symmetry
- Degenerate Fermi Gases of Ytterbium
- Realization of SU(2)*SU(6) Fermi System
- Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System
- Feynman diagrams versus Fermi-gas Feynman emulator
- Degenerate Fermi Gas of Sr
- Strongly paired fermions: Cold atoms and neutron matter
- Viscosity and scale invariance in the unitary Fermi gas
- Quantum Monte Carlo Simulations of the BCS-BEC Crossover at Finite Temperature
- BCS-BEC crossover in a two-dimensional Fermi gas
- Efimov Physics in Cold Atoms
- Neutron Matter from Low to High Density
- Double-degenerate Bose-Fermi mixture of strontium
- Resonantly Interacting Fermions In a Box
- Critical Temperature Curve in the BEC-BCS Crossover
- Exact Numerical Results on the Ground State of Strongly Interacting Fermi Gases in Two Dimensions
- Strongly interacting two-dimensional Fermi gases
- Energetics and Structural Properties of Trapped Two-Component Fermi Gases
- Pressure, compressibility, and contact of the two-dimensional attractive Fermi gas
- Quantum Monte Carlo approaches to nuclear and atomic physics
- Detection and manipulation of nuclear spin states in fermionic strontium
- Pairing and Superfluid Properties of Dilute Fermion Gases at Unitarity
- Ground-state thermodynamic quantities of homogeneous spin- fermions from the BCS region to the unitarity limit
- Role of Bose Statistics in Crystallization and Quantum Jamming
- Strongly correlated Bose gases
- Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases
- Finite-Temperature Auxiliary-Field Quantum Monte Carlo for Bose-Fermi Mixtures
- Path integral Monte Carlo determination of the fourth-order virial coefficient for unitary two-component Fermi gas with zero-range interactions
- Engineering spin waves in a high-spin ultracold Fermi gas
- Zero-temperature equation of state of mass-imbalanced resonant Fermi gases
- Rashba spin-orbit coupling, strong interactions, and the BCS-BEC crossover in the ground state of the two-dimensional Fermi Gas
- SU(N) Fermi liquid at finite temperature