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Normal State of Highly Polarized Fermi Gases: Full Many-Body Treatment

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Phys. Rev. Lett. 101, 050404 (2008)

We consider a single spin down atom within a Fermi sea of spin up atoms. We elucidate by a full many-body analysis the quite mysterious agreement between Monte Carlo results and approximate calculations taking only into account single particle-hole excitations. It results from a nearly perfect destructive interference of the contributions of states with more than one particle-hole pair. This is linked to the remarkable efficiency of the expansion in powers of hole wave vectors, the lowest order leading to perfect interference. Going up to two particle-hole pairs gives an essentially perfect agreement with known exact results. Hence our treatment amounts to an exact solution of this problem.

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