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理论物理通讯：英文版

Energy Spectrum of a Degenerate Fermi Gas at the BEC-BCS Crossover

Fang, Yuan

Published Jan 1, 2007• 0 citations
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arXiv:cond-mat/0201262•Physical Review Letters•Sep 5, 2002•463 citations
A theoretical study of the BCS-BEC crossover is presented. Starting from a two-channel Boson–Fermion resonance model, the BCS-Bogoiubov mean-field method and the Green's function method are adopted. The result shows that we can end up with a BCS-type theory but with a composite order parameter. Calculation shows that the Bose condensate of BCS Cooper pairs is proportional to the molecular BEC of Bose molecules. The resonance superfluid phase is indicated by the energy spectrum with an obvious interpretation of the transition mechanism.
We discuss the BCS-BEC crossover in a degenerate Fermi gas of two hyperfine states interacting close to a Feshbach resonance. We show that, by including fluctuation contributions to the free energy similar to that considered by Nozières and Schmitt-Rink, the character of the superfluid phase transition continuously changes from the BCS-type to the BEC-type, as the threshold of the quasimolecular band is lowered. In the BEC regime, the superfluid phase transition is interpreted in terms of molecules associated with both the Feshbach resonance and Cooper pairing.