Normal state of highly polarized Fermi gases: Full many-body treatment

Details Normal state of highly polarized Fermi gases: Full many-body treatment Normal state of highly polarized Fermi gases: Full many-body treatment

2008-04-16

arxiv.org/abs/0804.2638v1

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

Physics

Condensed Matter

Soft Condensed Matter

5 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.101.050404

We consider a single \down atom within a Fermi sea of \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 wavevectors, 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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