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Collective Excitations of Trapped Superfluid Fermi Gases in a BCS-BEC Crossover with Arbitrary Atom Numbers

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Abstract

We investigate the collective excitations of an axially-symmetric harmonically trapped superfluid Fermi gas in the BCS-BEC crossover, focusing on the dependence of the frequency of the collective modes on the atom number. Starting from a phenomenological equation of state valid for the whole BCS-BEC crossover regime and the time-dependent Gross-Pitaevskii equation of the condensed fermionic superfluid, we obtain analytically the chemical potential and ground-state wavefunction of the paired fermions with arbitrary atom numbers by use of variational method. We solve the generalized Bogoliubov-de Gennes equations numerically and discuss the properties of low-lying excitations when the system consists with Fermi atoms of several hundreds or thousands. Our numerical results reveal some new properties of the small system in the excited states.

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Authors and Affiliations

  1. Surface Physics Laboratory and Department of Physics, Fudan University, Shanghai, 200433, People’s Republic of China

    Cheng-tao Wang, C. R. Ma & Yong-li Ma

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  1. Cheng-tao Wang
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  2. C. R. Ma
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  3. Yong-li Ma
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Correspondence to Yong-li Ma.

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Wang, Ct., Ma, C.R. & Ma, Yl. Collective Excitations of Trapped Superfluid Fermi Gases in a BCS-BEC Crossover with Arbitrary Atom Numbers. J Low Temp Phys 154, 85–96 (2009). https://doi.org/10.1007/s10909-008-9855-x

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  • DOI: https://doi.org/10.1007/s10909-008-9855-x

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