Fermions in Two Dimensions: Scattering and ManyBody Properties
Ultracold atomic Fermi gases in two dimensions (2D) are an increasingly popular topic of research. The interaction strength between spinup and spindown particles in twocomponent 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 manybody dynamics are largely dependent on the twobody interactions; therefore, we start with an indepth look at scattering theory in 2D. We show the partialwave 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 manybody system, we also use variationally optimized wave functions to calculate groundstate 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:

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 Univ. of Guelph, ON (Canada). Dept. of Physics
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Publication Date:
 Report Number(s):
 LAUR1724235
Journal ID: ISSN 00222291; TRN: US1703129
 Grant/Contract Number:
 AC5206NA25396
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of Low Temperature Physics
 Additional Journal Information:
 Journal Volume: 189; Journal Issue: 56; Journal ID: ISSN 00222291
 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) (SC26)
 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 ManyBody Properties. United States: N. p.,
Web. doi:10.1007/s1090901718031.
Galea, Alexander, Zielinski, Tash, Gandolfi, Stefano, & Gezerlis, Alexandros. Fermions in Two Dimensions: Scattering and ManyBody Properties. United States. doi:10.1007/s1090901718031.
Galea, Alexander, Zielinski, Tash, Gandolfi, Stefano, and Gezerlis, Alexandros. 2017.
"Fermions in Two Dimensions: Scattering and ManyBody Properties". United States.
doi:10.1007/s1090901718031. https://www.osti.gov/servlets/purl/1406224.
@article{osti_1406224,
title = {Fermions in Two Dimensions: Scattering and ManyBody 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 spinup and spindown particles in twocomponent 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 manybody dynamics are largely dependent on the twobody interactions; therefore, we start with an indepth look at scattering theory in 2D. We show the partialwave 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 manybody system, we also use variationally optimized wave functions to calculate groundstate 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/s1090901718031},
journal = {Journal of Low Temperature Physics},
number = 56,
volume = 189,
place = {United States},
year = {2017},
month = {8}
}