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Quasi-one- and quasi-two-dimensional Bose-Fermi mixtures from weak coupling to unitarity

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Abstract

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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Acknowledgements

S.G. acknowledges the support of the Science and Engineering Research Board (SERB), Department of Science and Technology, Government of India under the project CRG/2021/002597. S.K.A. acknowledges support by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), Brazil under grant 301324/2019-0.

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Authors and Affiliations

  1. Department of Physics, Indian Institute of Technology Ropar, Rupnagar, Punjab, 140001, India

    Pardeep Kaur & Sandeep Gautam

  2. Instituto de Física Teórica, UNESP - Universidade Estadual Paulista, 01.140-070, São Paulo, Brazil

    S. K. Adhikari

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  1. Pardeep Kaur
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Correspondence to S. K. Adhikari.

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Kaur, P., Gautam, S. & Adhikari, S.K. Quasi-one- and quasi-two-dimensional Bose-Fermi mixtures from weak coupling to unitarity. Eur. Phys. J. Plus 138, 754 (2023). https://doi.org/10.1140/epjp/s13360-023-04368-5

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