https://doi.org/10.1140/epjp/s13360-023-04368-5
Regular Article
Quasi-one- and quasi-two-dimensional Bose-Fermi mixtures from weak coupling to unitarity
1
Department of Physics, Indian Institute of Technology Ropar, 140001, Rupnagar, Punjab, India
2
Instituto de Física Teórica, UNESP - Universidade Estadual Paulista, 01.140-070, São Paulo, Brazil
Received:
23
June
2023
Accepted:
8
August
2023
Published online:
25
August
2023
We study ultracold superfluid Bose-Fermi mixtures in three dimensions, with stronger confinement along one or two directions, using a non-perturbative beyond-mean-field model for bulk chemical potential valid along the weak-coupling to unitarity crossover. Although bosons are considered to be in a superfluid state, we consider two possibilities for the fermions − spin-polarized degenerate state and superfluid state. Simplified reduced analytic lower-dimensional models are derived along the weak-coupling to unitarity crossover in quasi-one-dimensional (quasi-1D) and quasi-two-dimensional (quasi-2D) settings. The only parameters in these models are the constants of the beyond-mean-field Bose-Bose and Fermi-Fermi Lee-Huang-Yang interactions and the respective universal Bertsch parameter at unitarity. In addition to the numerical results for a fully-trapped system, we also present results for quasi-2D Bose-Fermi mixtures where one of the components is untrapped but localized due to the interaction mediated by the other component. We demonstrate the validity of the reduced quasi-1D and quasi-2D models via a comparison of the numerical solutions for the ground states obtained from the reduced models and the full three-dimensional (3D) model.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
