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Thermodynamics of Trapped Imbalanced Fermi Gases at Unitarity

  • J. M. Diederix
  • H. T. C. StoofEmail author
Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 836)

Abstract

We present a theory for the low-temperature properties of a resonantly interacting Fermi mixture in a trap, that goes beyond the local-density approximation. The theory corresponds essentially to a Landau–Ginzburg-like approach that includes self-energy effects to account for the strong interactions at unitarity. We show diagrammatically how these self-energy effects arise from fluctuations in the superfluid order parameter. Gradient terms of the order parameter are included to account for inhomogeneities. This approach incorporates the state-of-the-art knowledge of the homogeneous mixture with a population imbalance exactly and gives good agreement with the experimental density profiles of Shin et al. (Nature 451:689 (2008)). This allows us to calculate the universal surface tension of the interface between the equal-density superfluid and the partially polarized normal state of the mixture. We also discuss the possibility of a metastable state to explain the deformation of the superfluid core that is seen in the experiment of Partridge et al. (Science 311:503 (2006)).

Keywords

Thermodynamic Potential Tricritical Point Dyson Equation Superfluid State Fermi Mixture 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Institute for Theoretical Physics, Utrecht UniversityCE UtrechtThe Netherlands

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