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Title: Fermions in Two Dimensions: Scattering and Many-Body Properties

Ultracold atomic Fermi gases in two dimensions (2D) are an increasingly popular topic of research. The interaction strength between spin-up and spin-down particles in two-component Fermi gases can be tuned in experiments, allowing for a strongly interacting regime where the gas properties are yet to be fully understood. We have probed this regime for 2D Fermi gases by performing T = 0 ab initio diffusion Monte Carlo calculations. The many-body dynamics are largely dependent on the two-body interactions; therefore, we start with an in-depth look at scattering theory in 2D. We show the partial-wave expansion and its relation to the scattering length and effective range. Then, we discuss our numerical methods for determining these scattering parameters. Here, we close out this discussion by illustrating the details of bound states in 2D. Transitioning to the many-body system, we also use variationally optimized wave functions to calculate ground-state properties of the gas over a range of interaction strengths. We show results for the energy per particle and parametrize an equation of state. We then proceed to determine the chemical potential for the strongly interacting gas.
Authors:
 [1] ;  [1] ; ORCiD logo [2] ; ORCiD logo [1]
  1. Univ. of Guelph, ON (Canada). Dept. of Physics
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Report Number(s):
LA-UR-17-24235
Journal ID: ISSN 0022-2291; TRN: US1703129
Grant/Contract Number:
AC52-06NA25396
Type:
Accepted Manuscript
Journal Name:
Journal of Low Temperature Physics
Additional Journal Information:
Journal Volume: 189; Journal Issue: 5-6; Journal ID: ISSN 0022-2291
Publisher:
Plenum Press
Research Org:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org:
USDOE Office of Science (SC). Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Atomic and Nuclear Physics
OSTI Identifier:
1406224

Galea, Alexander, Zielinski, Tash, Gandolfi, Stefano, and Gezerlis, Alexandros. Fermions in Two Dimensions: Scattering and Many-Body Properties. United States: N. p., Web. doi:10.1007/s10909-017-1803-1.
Galea, Alexander, Zielinski, Tash, Gandolfi, Stefano, & Gezerlis, Alexandros. Fermions in Two Dimensions: Scattering and Many-Body Properties. United States. doi:10.1007/s10909-017-1803-1.
Galea, Alexander, Zielinski, Tash, Gandolfi, Stefano, and Gezerlis, Alexandros. 2017. "Fermions in Two Dimensions: Scattering and Many-Body Properties". United States. doi:10.1007/s10909-017-1803-1. https://www.osti.gov/servlets/purl/1406224.
@article{osti_1406224,
title = {Fermions in Two Dimensions: Scattering and Many-Body Properties},
author = {Galea, Alexander and Zielinski, Tash and Gandolfi, Stefano and Gezerlis, Alexandros},
abstractNote = {Ultracold atomic Fermi gases in two dimensions (2D) are an increasingly popular topic of research. The interaction strength between spin-up and spin-down particles in two-component Fermi gases can be tuned in experiments, allowing for a strongly interacting regime where the gas properties are yet to be fully understood. We have probed this regime for 2D Fermi gases by performing T = 0 ab initio diffusion Monte Carlo calculations. The many-body dynamics are largely dependent on the two-body interactions; therefore, we start with an in-depth look at scattering theory in 2D. We show the partial-wave expansion and its relation to the scattering length and effective range. Then, we discuss our numerical methods for determining these scattering parameters. Here, we close out this discussion by illustrating the details of bound states in 2D. Transitioning to the many-body system, we also use variationally optimized wave functions to calculate ground-state properties of the gas over a range of interaction strengths. We show results for the energy per particle and parametrize an equation of state. We then proceed to determine the chemical potential for the strongly interacting gas.},
doi = {10.1007/s10909-017-1803-1},
journal = {Journal of Low Temperature Physics},
number = 5-6,
volume = 189,
place = {United States},
year = {2017},
month = {8}
}