Analytical theory of the dressed bound state in highly polarized Fermi gases

Details Analytical theory of the dressed bound state in highly polarized Fermi gases Analytical theory of the dressed bound state in highly polarized Fermi gases

2009-07-18

arxiv.org/abs/0907.3197v1

Europhys. Lett. 88, 60007 (2009)

Physics

Condensed Matter

Quantum Gases

5 pages, 3 figures

Scientific paper

10.1209/0295-5075/88/60007

We present an analytical treatment of a single \down atom within a Fermi sea of \up atoms, when the interaction is strong enough to produce a bound state, dressed by the Fermi sea. Our method makes use of a diagrammatic analysis, with the involved diagrams taking only into account at most two particle-hole pairs excitations. The agreement with existing Monte-Carlo results is excellent. In the BEC limit our equation reduces exactly to the Skorniakov and Ter-Martirosian equation. We present results when \up and \down atoms have different masses, which is of interest for experiments in progress.

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