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Phenomenological Equation of State and Density Profiles of Strongly Interacting Trapped Superfluid Fermi Gases with Arbitrary Atom Numbers

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Abstract

We present a phenomenological equation of state (EOS), derive a nonlinear quantum hydrodynamical equation and investigate the density profiles of a trapped superfluid Fermi gas with arbitrary number of particles in the BCS-BEC crossover regime. The asymptotic behavior of the EOS exactly matches with its expansions in three limiting regimes: BCS, unitarity and BEC. By using this EOS, the quantum hydrodynamical equation is beyond mean-field version, valid in all interacting regimes and used for the unitarity regime specially. We take a Fetter-like trial wave function in generalized Thomas-Fermi approximation, solve the hydrodynamical equation and calculate the energy, chemical potential, sizes and profiles of the ground-state condensate in the BCS-BEC crossover regime. Our results agree well with the theoretical and experimental results.

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Authors and Affiliations

  1. Surface Physics Laboratory, Department of Physics, Fudan University, Shanghai, 200433, China

    W. Y. Zhang, C. R. Ma & Y. L. Ma

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  1. W. Y. Zhang
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  2. C. R. Ma
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Zhang, W.Y., Ma, C.R. & Ma, Y.L. Phenomenological Equation of State and Density Profiles of Strongly Interacting Trapped Superfluid Fermi Gases with Arbitrary Atom Numbers. J Low Temp Phys 159, 525–539 (2010). https://doi.org/10.1007/s10909-010-0161-z

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  • DOI: https://doi.org/10.1007/s10909-010-0161-z

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