BEC-BCS crossover with Feshbach resonance for a three-hyperfine-species model

Guojun Zhu, Anthony J. Leggett

Research output: Contribution to journalArticlepeer-review


We consider the behavior of an ultracold Fermi gas across a narrow Feshbach resonance, where the occupation of the closed channel may not be negligible. While the corrections to the single-channel formulas associated with the nonzero chemical potential and with particle conservation have been considered in the existing literature, there is a further effect, namely, the "interchannel Pauli exclusion principle," associated with the fact that a single hyperfine species may be common to the two channels. We focus on this effect and show that, as intuitively expected, the resulting corrections are of the order of EF/η, where EF is the Fermi energy of the gas in the absence of interactions and η is the Zeeman energy difference between the two channels. We also consider the related corrections to the fermionic excitation spectrum, and briefly discuss the collective modes of the system.

Original languageEnglish (US)
Article number023627
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number2
StatePublished - Feb 25 2013

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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