Polaron to molecule transition in a strongly imbalanced Fermi gas

Details Polaron to molecule transition in a strongly imbalanced Fermi gas Polaron to molecule transition in a strongly imbalanced Fermi gas

2009-08-10

arxiv.org/abs/0908.1343v2

Phys. Rev. A 80, 053605 (2009)

Physics

Condensed Matter

Quantum Gases

10 pages, 4 figures, RevTex4, minor changes, references added

Scientific paper

A single down spin Fermion with an attractive, zero range interaction with a Fermi sea of up-spin Fermions forms a polaronic quasiparticle. The associated quasiparticle weight vanishes beyond a critical strength of the attractive interaction, where a many-body bound state is formed. From a variational wavefunction in the molecular limit, we determine the critical value for the polaron to molecule transition. The value agrees well with the diagrammatic Monte Carlo results of Prokof'ev and Svistunov and is consistent with recent rf-spectroscopy measurements of the quasiparticle weight by Schirotzek et. al. In addition, we calculate the contact coefficient of the strongly imbalanced gas, using the adiabatic theorem of Tan and discuss the implications of the polaron to molecule transition for the phase diagram of the attractive Fermi gas at finite imbalance.

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