skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Ground-state properties of strongly interacting Fermi gases in two dimensions

Abstract

Exact calculations are performed on the two-dimensional strongly interacting unpolarized uniform Fermi gas with a zero-range attractive interaction. Two auxiliary-field approaches are employed which accelerate the sampling of imaginary-time paths using BCS trial wave functions and a force bias technique. Their combination enables calculations on large enough lattices to reliably compute ground-state properties in the thermodynamic limit. An equation of state is obtained with a parametrization provided, which can serve as a benchmark and allow accurate comparisons with experiments. The pressure, contact parameter, and condensate fraction are determined systematically vs $$k_Fa$$ . The momentum distribution, pairing correlation, and the structure of the pair wave function are computed. The use of force bias to accelerate the Metropolis sampling of auxiliary fields in determinantal approaches is discussed.

Authors:
 [1];  [1];  [1]
  1. College of William and Mary, Williamsburg, VA (United States). Dept. of Physics
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Org.:
USDOE Office of Science (SC); National Science Foundation (NSF)
OSTI Identifier:
1565361
Alternate Identifier(s):
OSTI ID: 1214347
Grant/Contract Number:  
AC05-00OR22725; SC0008627; DMR-1409510
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 92; Journal Issue: 3; Journal ID: ISSN 1050-2947
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Optics; Physics

Citation Formats

Shi, Hao, Chiesa, Simone, and Zhang, Shiwei. Ground-state properties of strongly interacting Fermi gases in two dimensions. United States: N. p., 2015. Web. doi:10.1103/physreva.92.033603.
Shi, Hao, Chiesa, Simone, & Zhang, Shiwei. Ground-state properties of strongly interacting Fermi gases in two dimensions. United States. doi:10.1103/physreva.92.033603.
Shi, Hao, Chiesa, Simone, and Zhang, Shiwei. Tue . "Ground-state properties of strongly interacting Fermi gases in two dimensions". United States. doi:10.1103/physreva.92.033603. https://www.osti.gov/servlets/purl/1565361.
@article{osti_1565361,
title = {Ground-state properties of strongly interacting Fermi gases in two dimensions},
author = {Shi, Hao and Chiesa, Simone and Zhang, Shiwei},
abstractNote = {Exact calculations are performed on the two-dimensional strongly interacting unpolarized uniform Fermi gas with a zero-range attractive interaction. Two auxiliary-field approaches are employed which accelerate the sampling of imaginary-time paths using BCS trial wave functions and a force bias technique. Their combination enables calculations on large enough lattices to reliably compute ground-state properties in the thermodynamic limit. An equation of state is obtained with a parametrization provided, which can serve as a benchmark and allow accurate comparisons with experiments. The pressure, contact parameter, and condensate fraction are determined systematically vs $k_Fa$ . The momentum distribution, pairing correlation, and the structure of the pair wave function are computed. The use of force bias to accelerate the Metropolis sampling of auxiliary fields in determinantal approaches is discussed.},
doi = {10.1103/physreva.92.033603},
journal = {Physical Review. A},
number = 3,
volume = 92,
place = {United States},
year = {2015},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 32 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Non-Abelian Topological Order in s -Wave Superfluids of Ultracold Fermionic Atoms
journal, July 2009


Discrete Hubbard-Stratonovich transformation for fermion lattice models
journal, October 1983


Ground-State Pressure of Quasi-2D Fermi and Bose Gases
journal, January 2014


Thermodynamic Measurements in a Strongly Interacting Fermi Gas
journal, November 2008


Theory of ultracold atomic Fermi gases
journal, October 2008

  • Giorgini, Stefano; Pitaevskii, Lev P.; Stringari, Sandro
  • Reviews of Modern Physics, Vol. 80, Issue 4
  • DOI: 10.1103/RevModPhys.80.1215

Many-body physics with ultracold gases
journal, July 2008

  • Bloch, Immanuel; Dalibard, Jean; Zwerger, Wilhelm
  • Reviews of Modern Physics, Vol. 80, Issue 3
  • DOI: 10.1103/RevModPhys.80.885

Berezinskii-Kosterlitz-Thouless transition in a trapped quasi-two-dimensional Fermi gas near a Feshbach resonance
journal, October 2008


Measurement of the Homogeneous Contact of a Unitary Fermi Gas
journal, November 2012


Vortex-Antivortex Lattice in Ultracold Fermionic Gases
journal, February 2006


BCS-BEC Crossover in a Two-Dimensional Fermi Gas
journal, March 2011


Quantum Monte Carlo Method using Phase-Free Random Walks with Slater Determinants
journal, April 2003


Quantum Monte Carlo method for the ground state of many-boson systems
journal, November 2004


Universal Equation of State and Pseudogap in the Two-Dimensional Fermi Gas
journal, April 2014


Momentum Distribution and Contact of the Unitary Fermi Gas
journal, May 2011


Quantum chemistry by random walk. H 2 P , H + 3 D 3 h 1 A1 , H 2 3 Σ + u , H 4 1 Σ + g , Be 1 S
journal, November 1976

  • Anderson, James B.
  • The Journal of Chemical Physics, Vol. 65, Issue 10
  • DOI: 10.1063/1.432868

Auxiliary-field quantum Monte Carlo method for strongly paired fermions
journal, December 2011


The density-matrix renormalization group
journal, April 2005


Quasi-Two-Dimensional Superfluid Fermionic Gases
journal, October 2005


Symmetry in auxiliary-field quantum Monte Carlo calculations
journal, September 2013


Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas
journal, January 2012


Superfluid transition in quasi-two-dimensional Fermi gases
journal, March 2003


Concept of Off-Diagonal Long-Range Order and the Quantum Phases of Liquid He and of Superconductors
journal, October 1962


Superfluidity at the BEC-BCS crossover in two-dimensional Fermi gases with population and mass imbalance
journal, May 2008


Density distribution of a trapped two-dimensional strongly interacting Fermi gas
journal, November 2011


Measurements of Tan’s Contact in an Atomic Bose-Einstein Condensate
journal, April 2012


Constrained Path Quantum Monte Carlo Method for Fermion Ground States
journal, May 1995


Lattice Monte Carlo calculations for unitary fermions in a finite box
journal, February 2013


Density matrix formulation for quantum renormalization groups
journal, November 1992


BCS-BEC crossover of a quasi-two-dimensional Fermi gas: The significance of dressed molecules
journal, June 2008


Large momentum part of a strongly correlated Fermi gas
journal, December 2008


Energetics of a strongly correlated Fermi gas
journal, December 2008


Landau f function for the dilute Fermi gas in two dimensions
journal, May 1992


Quantum Monte Carlo for molecules: Green’s function and nodal release
journal, December 1984

  • Ceperley, D. M.; Alder, B. J.
  • The Journal of Chemical Physics, Vol. 81, Issue 12
  • DOI: 10.1063/1.447637

Observation of a Two-Dimensional Fermi Gas of Atoms
journal, July 2010


General relations for quantum gases in two and three dimensions: Two-component fermions
journal, July 2012


Two-Dimensional System of Hard-Core Bosons
journal, March 1971


Ground-state energy of the unitary Fermi gas from the ϵ expansion
journal, January 2009


Imbalanced Fermi superfluid in a one-dimensional optical potential
journal, May 2007