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Phase diagram and deformed phase separation for a trapped Fermi gas with population imbalance and BCS pairing interaction

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Abstract

We study the phase separated state of an ultracold atomic Fermi gas confined in a three-dimensional quantum harmonic trap with a BCS pairing interaction. Examining various finite-temperature phase diagrams, we investigate the interplay between the filling of the quantum trap energy levels and the pairing energy. We find that a low (high) filling leads to a large (small) critical population imbalance for the superfluid/normal transition, together with a fully (partially) polarized normal part. We also show that the decrease of the density leads to a changeover of the shape of the superfluid core from an equipotential form to a deformed one. Moreover, we clarify the intrinsic mechanisms that lead to the deformation, providing a unified scenario for phase separation and deformation in a trapped Fermi gas, allowing for a possible interpretation of the apparently controversial experimental findings.

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Authors and Affiliations

  1. SPIN-CNR, 84084, Fisciano (SA), Italy

    Z.-J. Ying, M. Cuoco & C. Noce

  2. Dipartimento di Fisica “E.R. Caianiello ”, Università di Salerno, 84084, Fisciano (SA), Italy

    Z.-J. Ying, M. Cuoco, C. Noce & H.-Q. Zhou

  3. Centre for Modern Physics, Chongqing University, Chongqing, 400044, P.R. China

    Z.-J. Ying & H.-Q. Zhou

Authors
  1. Z.-J. Ying
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  2. M. Cuoco
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  3. C. Noce
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  4. H.-Q. Zhou
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Correspondence to C. Noce.

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Ying, ZJ., Cuoco, M., Noce, C. et al. Phase diagram and deformed phase separation for a trapped Fermi gas with population imbalance and BCS pairing interaction. Eur. Phys. J. B 78, 43–49 (2010). https://doi.org/10.1140/epjb/e2010-10515-0

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  • DOI: https://doi.org/10.1140/epjb/e2010-10515-0

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