Thermodynamics of Trapped Imbalanced Fermi Gases at Unitarity

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


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)).


Thermodynamic Potential Tricritical Point Dyson Equation Superfluid State Fermi Mixture 
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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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