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Title

Self-consistent theory of atomic Fermi gases with a Feshbach resonance at the superfluid transition

Author(s)

Liu, Xia-Ji;  Hu, Hui

Abstract

A self-consistent theory is derived to describe the BCS-Bose-Einstein- condensate crossover for a strongly interacting Fermi gas with a Feshbach resonance. In the theory the fluctuation of the dressed molecules, consisting of both preformed Cooper pairs and 'bare' Feshbach molecules, has been included within a self-consistent T -matrix approximation, beyond the Nozieres and Schmitt-Rink strategy considered by Ohashi and Griffin. The resulting self-consistent equations are solved numerically to investigate the normal-state properties of the crossover at various resonance widths. It is found that the superfluid transition temperature Tc increases monotonically at all widths as the effective interaction between atoms becomes more attractive. Furthermore, a residue factor Zm of the molecule's Green function and a complex effective mass have been determined to characterize the fraction and lifetime of Feshbach molecules at Tc. Our many-body calculations of Zm agree qualitatively well with recent measurments of the gas of ^6 Li atoms near the broad resonance at 834 G. The crossover from narrow to broad resonances has also been studied.

Publication type

Journal article

Source

Physical Review A: Atomic, Molecular, and Optical Physics, Vol. 72, no. 6 (Dec 2005), article no. 063613

Publication year

2005

FOR Code(s)

0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics;  0204 Condensed Matter Physics;  0205 Optical Physics

Keyword(s)

Approximation theory;  Atomic Fermi gases;  BCS-Bose-Einstein;  Fermi liquids;  Gas condensates;  Green's function;  Quantum theory;  Resonance;  Self-consistent theory;  Superfluid transition

Publisher

American Physical Society

ISSN

1050-2947

Publisher URL

http://dx.doi.org/10.1103/PhysRevA.72.063613

Copyright

Copyright © 2005 The American Physical Society. The accepted manuscript of the paper is reproduced here for noncommerical purposes only in accordance with the copyright policy of the publisher.

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