Diffusion Monte Carlo study of strongly interacting twodimensional Fermi gases
Ultracold atomic Fermi gases have been a popular topic of research, with attention being paid recently to twodimensional (2D) gases. In this work, we perform T=0 ab initio diffusion Monte Carlo calculations for a strongly interacting twocomponent Fermi gas confined to two dimensions. We first go over finitesize 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 strongcoupling crossover, in between the BoseEinstein condensation (BEC) and BardeenCooperSchrieffer (BCS) regimes. Our energy results for the BECBCS 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 manybody wave functions.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[1]}
 Univ. of Guelph, Guelph, ON (Canada)
 Univ. of Guelph, Guelph, ON (Canada); Univ. of Waterloo, Waterloo, ON (Canada)
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Publication Date:
 Report Number(s):
 LAUR1528921
Journal ID: ISSN 24699926; PLRAAN
 Grant/Contract Number:
 AC5206NA25396
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review A
 Additional Journal Information:
 Journal Volume: 93; Journal Issue: 2; Journal ID: ISSN 24699926
 Publisher:
 American Physical Society (APS)
 Research Org:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 74 ATOMIC AND MOLECULAR PHYSICS; 97 MATHEMATICS AND COMPUTING; atomic and nuclear physics
 OSTI Identifier:
 1335626
 Alternate Identifier(s):
 OSTI ID: 1236542
Galea, Alexander, Dawkins, Hillary, Gandolfi, Stefano, and Gezerlis, Alexandros. Diffusion Monte Carlo study of strongly interacting twodimensional Fermi gases. United States: N. p.,
Web. doi:10.1103/PhysRevA.93.023602.
Galea, Alexander, Dawkins, Hillary, Gandolfi, Stefano, & Gezerlis, Alexandros. Diffusion Monte Carlo study of strongly interacting twodimensional Fermi gases. United States. doi:10.1103/PhysRevA.93.023602.
Galea, Alexander, Dawkins, Hillary, Gandolfi, Stefano, and Gezerlis, Alexandros. 2016.
"Diffusion Monte Carlo study of strongly interacting twodimensional Fermi gases". United States.
doi:10.1103/PhysRevA.93.023602. https://www.osti.gov/servlets/purl/1335626.
@article{osti_1335626,
title = {Diffusion Monte Carlo study of strongly interacting twodimensional 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 twodimensional (2D) gases. In this work, we perform T=0 ab initio diffusion Monte Carlo calculations for a strongly interacting twocomponent Fermi gas confined to two dimensions. We first go over finitesize 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 strongcoupling crossover, in between the BoseEinstein condensation (BEC) and BardeenCooperSchrieffer (BCS) regimes. Our energy results for the BECBCS 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 manybody wave functions.},
doi = {10.1103/PhysRevA.93.023602},
journal = {Physical Review A},
number = 2,
volume = 93,
place = {United States},
year = {2016},
month = {2}
}