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Title: Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases

Journal Article · · Physical Review A
 [1];  [2];  [3];  [1]
  1. Univ. of Guelph, Guelph, ON (Canada)
  2. Univ. of Guelph, Guelph, ON (Canada); Univ. of Waterloo, Waterloo, ON (Canada)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Ultracold atomic Fermi gases have been a popular topic of research, with attention being paid recently to two-dimensional (2D) gases. In this work, we perform T=0 ab initio diffusion Monte Carlo calculations for a strongly interacting two-component Fermi gas confined to two dimensions. We first go over finite-size systems and the connection to the thermodynamic limit. After that, we illustrate pertinent 2D scattering physics and properties of the wave function. We then show energy results for the strong-coupling crossover, in between the Bose-Einstein condensation (BEC) and Bardeen-Cooper-Schrieffer (BCS) regimes. Our energy results for the BEC-BCS crossover are parametrized to produce an equation of state, which is used to determine Tan's contact. We carry out a detailed comparison with other microscopic results. Lastly, we calculate the pairing gap for a range of interaction strengths in the strong coupling regime, following from variationally optimized many-body wave functions.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1335626
Alternate ID(s):
OSTI ID: 1236542
Report Number(s):
LA-UR-15-28921; PLRAAN
Journal Information:
Physical Review A, Vol. 93, Issue 2; ISSN 2469-9926
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 34 works
Citation information provided by
Web of Science

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Cited By (20)

Fermions in Two Dimensions: Scattering and Many-Body Properties journal August 2017
Fermi-to-Bose crossover in a trapped quasi-2D gas of fermionic atoms journal August 2017
Diffusion Monte Carlo study of a spin-imbalanced two-dimensional Fermi gas with attractive interactions journal December 2019
Effective-range dependence of two-dimensional Fermi gases journal August 2017
Dimensional crossover in a strongly interacting ultracold atomic Fermi gas journal October 2017
Path-integral Monte Carlo study of particles obeying quantum mechanics and classical statistics journal October 2017
Visualizing the BEC-BCS crossover in a two-dimensional Fermi gas: Pairing gaps and dynamical response functions from ab initio computations journal December 2017
Are smooth pseudopotentials a good choice for representing short-range interactions? journal March 2019
Ground state of the two-dimensional attractive Fermi gas: Essential properties from few to many body text January 2016
Effective-range dependence of two-dimensional Fermi gases text January 2017
Are smooth pseudopotentials a good choice for representing short-range interactions? journalarticle January 2019
Diffusion Monte Carlo study of a spin-imbalanced two-dimensional Fermi gas with attractive interactions text January 2019
Pressure profiles of nonuniform two-dimensional atomic Fermi gases text January 2016
Dimensional crossover in a strongly interacting ultracold atomic Fermi gas text January 2017
Fermi-to-Bose crossover in a trapped quasi-2D gas of fermionic atoms text January 2017
Visualizing the BEC-BCS crossover in the two-dimensional Fermi gas: pairing gaps and dynamical response functions from ab initio computations text January 2017
Path Integral Monte Carlo study of particles obeying quantum mechanics and classical statistics text January 2017
Effective-range dependence of two-dimensional Fermi gases text January 2017
Quantum anomaly and thermodynamics of one-dimensional fermions with three-body interactions text January 2018
Are smooth pseudopotentials a good choice for representing short-range interactions? text January 2018

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