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Title: Contact interaction in an unitary ultracold Fermi gas

Abstract

An ultracold Fermi atomic gas at unitarity presents universal properties that in the dilute limit can be well described by a contact interaction. By employing a guiding function with correct boundary conditions and making simple modifications to the sampling procedure we are able to calculate the properties of a true contact interaction with the diffusion Monte Carlo method. The results are obtained with small variances. Our calculations for the Bertsch and contact parameters are in excellent agreement with published experiments. The possibility of using a more faithful description of ultracold atomic gases can help uncover additional features of ultracold atomic gases. In addition, this work paves the way to perform quantum Monte Carlo calculations for other systems interacting with contact interactions, where the description using potentials with finite effective range might not be accurate.

Authors:
 [1];  [2];  [3];  [4]
  1. Univ. Federal do Goias, GO (Brazil); Arizona State Univ., Tempe, AZ (United States). Dept. of Physics
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
  3. Univ. of Campinas (UNICAMP), Sao Paulo (Brazil); Univ. of Colorado, Boulder, CO (United States). National Inst. of Standards and Technology, JILA
  4. Arizona State Univ., Tempe, AZ (United States). Dept. of Physics
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF)
OSTI Identifier:
1329861
Alternate Identifier(s):
OSTI ID: 1234069
Report Number(s):
LA-UR-15-23861
Journal ID: ISSN 1050-2947
Grant/Contract Number:  
AC52-06NA25396; PHY-1404405; AC02-05CH11231
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 92; Journal Issue: 6; Journal ID: ISSN 1050-2947
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; Atomic and Nuclear Physics

Citation Formats

Pessoa, Renato, Gandolfi, Stefano, Vitiello, S. A., and Schmidt, Kevin E. Contact interaction in an unitary ultracold Fermi gas. United States: N. p., 2015. Web. doi:10.1103/PhysRevA.92.063625.
Pessoa, Renato, Gandolfi, Stefano, Vitiello, S. A., & Schmidt, Kevin E. Contact interaction in an unitary ultracold Fermi gas. United States. https://doi.org/10.1103/PhysRevA.92.063625
Pessoa, Renato, Gandolfi, Stefano, Vitiello, S. A., and Schmidt, Kevin E. Wed . "Contact interaction in an unitary ultracold Fermi gas". United States. https://doi.org/10.1103/PhysRevA.92.063625. https://www.osti.gov/servlets/purl/1329861.
@article{osti_1329861,
title = {Contact interaction in an unitary ultracold Fermi gas},
author = {Pessoa, Renato and Gandolfi, Stefano and Vitiello, S. A. and Schmidt, Kevin E.},
abstractNote = {An ultracold Fermi atomic gas at unitarity presents universal properties that in the dilute limit can be well described by a contact interaction. By employing a guiding function with correct boundary conditions and making simple modifications to the sampling procedure we are able to calculate the properties of a true contact interaction with the diffusion Monte Carlo method. The results are obtained with small variances. Our calculations for the Bertsch and contact parameters are in excellent agreement with published experiments. The possibility of using a more faithful description of ultracold atomic gases can help uncover additional features of ultracold atomic gases. In addition, this work paves the way to perform quantum Monte Carlo calculations for other systems interacting with contact interactions, where the description using potentials with finite effective range might not be accurate.},
doi = {10.1103/PhysRevA.92.063625},
url = {https://www.osti.gov/biblio/1329861}, journal = {Physical Review. A},
issn = {1050-2947},
number = 6,
volume = 92,
place = {United States},
year = {2015},
month = {12}
}

Journal Article:

Citation Metrics:
Cited by: 4 works
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Works referenced in this record:

Feshbach resonances in ultracold gases
journal, April 2010


Theory of ultracold atomic Fermi gases
journal, October 2008


Critical Velocity in the BEC-BCS Crossover
journal, March 2015


A mixture of Bose and Fermi superfluids
journal, July 2014


Second sound and the superfluid fraction in a Fermi gas with resonant interactions
journal, May 2013


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


Superfluid Fermi Gases with Large Scattering Length
journal, July 2003


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


Normal State of a Polarized Fermi Gas at Unitarity
journal, November 2006


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


High-fidelity pseudopotentials for the contact interaction
journal, September 2014


Ferromagnetism in the upper branch of the Feshbach resonance and the hard-sphere Fermi gas
journal, December 2010


Itinerant Ferromagnetism of a Repulsive Atomic Fermi Gas: A Quantum Monte Carlo Study
journal, July 2010


Monte Carlo simulations of the unitary Bose gas
journal, April 2014


Quantum Monte Carlo Study of a Resonant Bose-Fermi Mixture
journal, March 2013


Quantum Monte Carlo simulations of solids
journal, January 2001


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


Monte Carlo Calculations for Fermi Gases in the Unitary Limit with a Zero-Range Interaction
journal, February 2015


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


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


Quantum Monte Carlo methods for nuclear physics
journal, September 2015


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


Resonantly Interacting Fermions in a Box
journal, June 2011


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


Energetics of a strongly correlated Fermi gas
journal, December 2008


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


Universal properties of the ultracold Fermi gas
journal, February 2009


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


Breakdown of the Fermi Liquid Description for Strongly Interacting Fermions
journal, February 2015


Verification of Universal Relations in a Strongly Interacting Fermi Gas
journal, June 2010


    Works referencing / citing this record:

    Effective-range dependence of resonant Fermi gases
    journal, January 2017


    Bose polaron problem: Effect of mass imbalance on binding energy
    journal, December 2016


    Effective-range dependence of resonant Fermi gases
    text, January 2017


    Effective-range dependence of resonant Fermi gases
    journal, January 2017


    Zero-range Fermi gas along the BCS-BEC crossover
    journal, November 2019