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Title: Path-integral Monte Carlo study of particles obeying quantum mechanics and classical statistics

Journal Article · · Physical Review A
 [1];  [1]
  1. Univ. of Guelph, ON (Canada). Dept. of Physics

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. Finally, 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.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Organization:
USDOE
OSTI ID:
1523837
Journal Information:
Physical Review A, Journal Name: Physical Review A Journal Issue: 4 Vol. 96; ISSN PLRAAN; ISSN 2469-9926
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (68)

Efimov physics: a review journal March 2017
Many-Body Physics with Ultracold Gases text January 2007
Strongly paired fermions: Cold atoms and neutron matter journal March 2008
Path-Integral Monte Carlo Determination of the Fourth-Order Virial Coefficient for a Unitary Two-Component Fermi Gas with Zero-Range Interactions journal June 2016
Energetics and Structural Properties of Trapped Two-Component Fermi Gases text January 2008
Monte Carlo calculation of the radial distribution function of quantum hard spheres at finite temperatures using path integrals with boundary conditions journal September 1983
Path integrals in the theory of condensed helium journal April 1995
Solid-fluid phase transition of quantum hard spheres at finite temperatures journal July 1988
Neutron Matter from Low to High Density journal October 2015
BCS-BEC Crossover in a Two-Dimensional Fermi Gas journal March 2011
Strongly Interacting Two-Dimensional Fermi Gases book March 2015
Strongly paired fermions: Cold atoms and neutron matter text January 2007
Theory of ultracold atomic Fermi gases journal October 2008
Role of Bose Statistics in Crystallization and Quantum Jamming journal July 2012
Energetics and structural properties of trapped two-component Fermi gases journal April 2008
Detection and manipulation of nuclear spin states in fermionic strontium text January 2011
Finite-temperature auxiliary-field quantum Monte Carlo technique for Bose-Fermi mixtures journal November 2012
Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases journal February 2016
Quantum Monte Carlo simulations of the BCS-BEC crossover at finite temperature journal August 2008
Rashba Spin-Orbit Coupling, Strong Interactions, and the BCS-BEC Crossover in the Ground State of the Two-Dimensional Fermi Gas journal July 2016
Many-body physics with ultracold gases journal July 2008
Viscosity and scale invariance in the unitary Fermi gas text January 2010
Rashba spin-orbit coupling, strong interactions, and the BCS-BEC crossover in the ground state of the two-dimensional Fermi Gas text January 2016
Ultracold Fermi gases with emergent SU( N ) symmetry journal November 2014
Efimov physics in cold atoms journal January 2007
Zero-Temperature Equation of State of Mass-Imbalanced Resonant Fermi Gases journal February 2015
Quantum Monte Carlo Simulations of the BCS-BEC Crossover at Finite Temperature text January 2008
Pairing and superfluid properties of dilute fermion gases at unitarity journal October 2007
Theory of Bose-Einstein condensation in trapped gases journal April 1999
Efimov Physics: a review text January 2016
Ground-state properties of strongly interacting Fermi gases in two dimensions journal September 2015
Feynman diagrams versus Fermi-gas Feynman emulator text January 2011
Degenerate Fermi Gas of Sr 87 journal July 2010
Pressure, Compressibility, and Contact of the Two-Dimensional Attractive Fermi Gas text January 2015
Engineering Spin Waves in a High-Spin Ultracold Fermi Gas journal June 2013
Quantum Monte Carlo approaches to nuclear and atomic physics journal January 2012
A one-dimensional liquid of fermions with tunable spin journal February 2014
Degenerate Fermi Gases of Ytterbium journal January 2007
Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism text January 2014
Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases text January 2015
High-temperature Yang-Mills theories and three-dimensional quantum chromodynamics journal May 1981
Resonantly Interacting Fermions in a Box journal June 2011
A one-dimensional liquid of fermions with tunable spin text January 2014
Ground-State Thermodynamic Quantities of Homogeneous Spin- 1 / 2 Fermions from the BCS Region to the Unitarity Limit journal October 2017
Strongly correlated Bose gases journal September 2016
Theory of Bose-Einstein condensation in trapped gases text January 1998
Feynman diagrams versus Fermi-gas Feynman emulator journal March 2012
Equation of State of a Fermi Gas in the BEC-BCS Crossover: A Quantum Monte Carlo Study journal November 2004
Zero-temperature equation of state of mass-imbalanced resonant Fermi gases text January 2014
A new quantum propagator for hard sphere and cavity systems journal August 1992
Detection and manipulation of nuclear spin states in fermionic strontium journal October 2011
Critical Temperature Curve in BEC-BCS Crossover journal August 2008
Helium at zero temperature with hard-sphere and other forces journal May 1974
SU ( N ) Fermi liquid at finite temperature journal March 2017
Path integral Monte Carlo determination of the fourth-order virial coefficient for unitary two-component Fermi gas with zero-range interactions text January 2016
Ultracold gases of ytterbium: ferromagnetism and Mott states in an SU(6) Fermi system journal October 2009
Neutron Matter from Low to High Density text January 2015
Pressure, Compressibility, and Contact of the Two-Dimensional Attractive Fermi Gas journal September 2015
Viscosity and scale invariance in the unitary Fermi gas journal March 2011
Degenerate Fermi Gases of Ytterbium text January 2006
Feshbach resonances in ultracold gases journal April 2010
Superfluid Fermi Gases with Large Scattering Length journal July 2003
Realization of a SU ( 2 ) × SU ( 6 ) System of Fermions in a Cold Atomic Gas journal November 2010
Ultracold Fermi Gases with Emergent SU(N) Symmetry text January 2014
SU(N) Fermi liquid at finite temperature text January 2016
Double-degenerate Bose-Fermi mixture of strontium journal July 2010
Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism journal August 2014
Zero-Temperature Equation of State of Mass-Imbalanced Resonant Fermi Gases text January 2015

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