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Interacting preformed Cooper pairs in resonant Fermi gases

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Gubbels,  Koos
Molecular Physics, Fritz Haber Institute, Max Planck Society;
Radboud University Nijmegen, Institute for Molecules and Materials;
Institute for Theoretical Physics, Utrecht University;

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e013610.pdf
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preformedCP.pdf
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Citation

Gubbels, K., & Stoof, H. T. C. (2011). Interacting preformed Cooper pairs in resonant Fermi gases. Physical Review A, 84(1): 013610. doi:10.1103/PhysRevA.84.013610.


Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-3D5B-4
Abstract
We consider the normal phase of a strongly interacting Fermi gas, which can have either an equal or an unequal number of atoms in its two accessible spin states. Due to the unitarity-limited attractive interaction between particles with different spin, noncondensed Cooper pairs are formed. The starting point in treating preformed pairs is the Nozières-Schmitt-Rink (NSR) theory, which approximates the pairs as being noninteracting. Here, we consider the effects of the interactions between the Cooper pairs in a Wilsonian renormalization-group scheme. Starting from the exact bosonic action for the pairs, we calculate the Cooper-pair self-energy by combining the NSR formalism with the Wilsonian approach. We compare our findings with the recent experiments by Harikoshi et al. Science 327 442 (2010)] and Nascimbène et al. Nature (London) 463 1057 (2010)], and find very good agreement. We also make predictions for the population-imbalanced case, which can be tested in experiments.