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

Abstract

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.

Authors:
 [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)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1335626
Alternate Identifier(s):
OSTI ID: 1236542
Report Number(s):
LA-UR-15-28921
Journal ID: ISSN 2469-9926; PLRAAN
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review A
Additional Journal Information:
Journal Volume: 93; Journal Issue: 2; Journal ID: ISSN 2469-9926
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 97 MATHEMATICS AND COMPUTING; atomic and nuclear physics

Citation Formats

Galea, Alexander, Dawkins, Hillary, Gandolfi, Stefano, and Gezerlis, Alexandros. Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases. United States: N. p., 2016. Web. doi:10.1103/PhysRevA.93.023602.
Galea, Alexander, Dawkins, Hillary, Gandolfi, Stefano, & Gezerlis, Alexandros. Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases. United States. https://doi.org/10.1103/PhysRevA.93.023602
Galea, Alexander, Dawkins, Hillary, Gandolfi, Stefano, and Gezerlis, Alexandros. Mon . "Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases". United States. https://doi.org/10.1103/PhysRevA.93.023602. https://www.osti.gov/servlets/purl/1335626.
@article{osti_1335626,
title = {Diffusion Monte Carlo study of strongly interacting two-dimensional Fermi gases},
author = {Galea, Alexander and Dawkins, Hillary and Gandolfi, Stefano and Gezerlis, Alexandros},
abstractNote = {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.},
doi = {10.1103/PhysRevA.93.023602},
journal = {Physical Review A},
number = 2,
volume = 93,
place = {United States},
year = {Mon Feb 01 00:00:00 EST 2016},
month = {Mon Feb 01 00:00:00 EST 2016}
}

Journal Article:

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Cited by: 34 works
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Works referenced in this record:

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

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

Superfluid Fermi Gases with Large Scattering Length
journal, July 2003


Quantum Monte Carlo approaches to nuclear and atomic physics
journal, January 2012

  • Carlson, J.; Gandolfi, Stefano; Gezerlis, Alexandros
  • Progress of Theoretical and Experimental Physics, Vol. 2012, Issue 1
  • DOI: 10.1093/ptep/pts031

Neutron Matter from Low to High Density
journal, October 2015


p -Wave Interactions in Low-Dimensional Fermionic Gases
journal, November 2005


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


Radio-Frequency Spectroscopy of a Strongly Interacting Two-Dimensional Fermi Gas
journal, March 2011


Observation of a pairing pseudogap in a two-dimensional Fermi gas
journal, November 2011

  • Feld, Michael; Fröhlich, Bernd; Vogt, Enrico
  • Nature, Vol. 480, Issue 7375
  • DOI: 10.1038/nature10627

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


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


Spin-Imbalanced Quasi-Two-Dimensional Fermi Gases
journal, March 2015


Observation of the Berezinskii-Kosterlitz-Thouless Phase Transition in an Ultracold Fermi Gas
journal, June 2015


Observation of Pair Condensation in the Quasi-2D BEC-BCS Crossover
journal, June 2015


Fermi Liquid Theory of Dilute Submonolayer 3He on Thin 4He II Film: Dimer Bound State and Cooper Pairs
journal, June 1983


Bound states, Cooper pairing, and Bose condensation in two dimensions
journal, February 1989


Superconductivity in a two-dimensional Fermi gas: Evolution from Cooper pairing to Bose condensation
journal, January 1990


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


Ground-state properties of strongly interacting Fermi gases in two dimensions
journal, September 2015


Pressure, Compressibility, and Contact of the Two-Dimensional Attractive Fermi Gas
journal, September 2015


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


Quantum fluctuations in the BCS-BEC crossover of two-dimensional Fermi gases
journal, August 2015


Effective‐range theory in two dimensions
journal, November 1986

  • Adhikari, S. K.; Gibson, W. G.; Lim, T. K.
  • The Journal of Chemical Physics, Vol. 85, Issue 10
  • DOI: 10.1063/1.451572

Low-energy potential scattering in two and three dimensions
journal, July 2009

  • Khuri, N. N.; Martin, André; Richard, J. -M.
  • Journal of Mathematical Physics, Vol. 50, Issue 7
  • DOI: 10.1063/1.3167803

Quantum Monte Carlo studies of superfluid Fermi gases
journal, October 2004


Equation of State of a Fermi Gas in the BEC-BCS Crossover: A Quantum Monte Carlo Study
journal, November 2004


BEC-BCS crossover and universal relations in unitary Fermi gases
journal, April 2011


Resonantly Interacting Fermions in a Box
journal, June 2011


Effective-range dependence of resonantly interacting fermions
journal, November 2012

  • Forbes, Michael McNeil; Gandolfi, Stefano; Gezerlis, Alexandros
  • Physical Review A, Vol. 86, Issue 5
  • DOI: 10.1103/PhysRevA.86.053603

Generalized Lanczos algorithm for variational quantum Monte Carlo
journal, June 2001


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


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


Energetics of a strongly correlated Fermi gas
journal, December 2008


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


Precise Determination of the Structure Factor and Contact in a Unitary Fermi Gas
journal, January 2013


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


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


Crossover from 2D to 3D in a Weakly Interacting Fermi Gas
journal, March 2011


Evolution of Fermion Pairing from Three to Two Dimensions
journal, January 2012


Universal Fermi Gases in Mixed Dimensions
journal, October 2008


Ferromagnetism of a Repulsive Atomic Fermi Gas in an Optical Lattice: A Quantum Monte Carlo Study
journal, January 2014


Precise Determination of the Structure Factor and Contact in a Unitary Fermi Gas
text, January 2013

  • Hui, Hu,; Stefano, Gandolfi,; E., Drut, Joaquín
  • The University of North Carolina at Chapel Hill University Libraries
  • DOI: 10.17615/wkdq-zp66

Pressure, Compressibility, and Contact of the Two-Dimensional Attractive Fermi Gas
text, January 2015

  • E., Drut, J.; R., Anderson, E.
  • The University of North Carolina at Chapel Hill University Libraries
  • DOI: 10.17615/mg79-h516

Many-Body Physics with Ultracold Gases
text, January 2007


Strongly paired fermions: Cold atoms and neutron matter
text, January 2007


Universal Fermi gases in mixed dimensions
text, January 2008


Crossover from 2D to 3D in a weakly interacting Fermi gas
text, January 2010


Radiofrequency spectroscopy of a strongly interacting two-dimensional Fermi gas
text, January 2010


BEC-BCS crossover and universal relations in unitary Fermi gases
text, January 2010


Observation of a pairing pseudogap in a two-dimensional Fermi gas
text, January 2011


Precise determination of the structure factor and contact in a unitary Fermi gas
text, January 2012


Spin-Imbalanced Quasi-Two-Dimensional Fermi Gases
text, January 2014


Neutron Matter from Low to High Density
text, January 2015


p-Wave Interactions in Low-Dimensional Fermionic gases
text, January 2005


Works referencing / citing this record:

Fermions in Two Dimensions: Scattering and Many-Body Properties
journal, August 2017

  • Galea, Alexander; Zielinski, Tash; Gandolfi, Stefano
  • Journal of Low Temperature Physics, Vol. 189, Issue 5-6
  • DOI: 10.1007/s10909-017-1803-1

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


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

  • J., Porter, William; Lukas, Rammelmüller,; E., Drut, Joaquín
  • The University of North Carolina at Chapel Hill University Libraries
  • DOI: 10.17615/4jna-3d52

Effective-range dependence of two-dimensional Fermi gases
text, January 2017

  • Schonenberg, Lm; Verpoort, Philipp; Conduit, Gareth
  • Apollo - University of Cambridge Repository
  • DOI: 10.17863/cam.23239

Are smooth pseudopotentials a good choice for representing short-range interactions?
journalarticle, January 2019

  • Jeszenszki, P.; Alavi, A.; Brand, J.
  • American Physical Society (APS)
  • DOI: 10.17863/cam.38427

Diffusion Monte Carlo study of a spin-imbalanced two-dimensional Fermi gas with attractive interactions
text, January 2019

  • Foo, Darryl; Conduit, Gareth
  • Apollo - University of Cambridge Repository
  • DOI: 10.17863/cam.49239

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


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