Cooper pairing and single particle properties of trapped Fermi gases

Details Cooper pairing and single particle properties of trapped Fermi gases Cooper pairing and single particle properties of trapped Fermi gases

2002-03-06

arxiv.org/abs/cond-mat/0203130v2

Phys.Rev. A65 (2002) 053407

Physics

Condensed Matter

Slightly revised version: Mistakes in equation references in figures corrected. Accepted for Phys. Rev. A

Scientific paper

10.1103/PhysRevA.65.053407

We calculate the elementary excitations and pairing of a trapped atomic Fermi gas in the superfluid phase. The level spectra and pairing gaps undergo several transitions as the strength of the interactions between and the number of atoms are varied. For weak interactions, the Cooper pairs are formed between particles residing in the same harmonic oscillator shell. In this regime, the nature of the paired state is shown to depend critically on the position of the chemical potential relative to the harmonic oscillator shells and on the size of the mean field. For stronger interactions, we find a region where pairing occur between time-reversed harmonic oscillator states in different shells also.

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