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The N+1 body problem and the phase diagram of a spin imbalanced fermi gas

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Recent progress in laser cooling and trapping of atomic vapours have led to the experimental realization of some extensions of the celebrated BCS model describing weakly attractive fermions. In this talk we will discuss recent results at ENS on the thermodynamics of strongly attractive Fermi gases with imbalanced spin populations. We will show in particular how these experiments have unveiled the Fermi liquid nature of the normal phase of these systems and allowed for a precise measurement of the renormalized effective parameters characterizing the associated quasi-particles. We will demonstrate how these parameters can be fairly accurately calculated by the study of an impurity immersed in a Fermi Sea (the N+1 body problem).

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