1207.6971 (Yusuke Nishida)
Yusuke Nishida
A three-component Fermi gas near a broad Feshbach resonance does not have a universal ground state due to the Thomas collapse, while it does near a narrow Feshbach resonance. We explore its universal phase diagram in the plane of the inverse scattering length 1/akF and the resonance range R*kF. For a large R*kF, there exists a Lifshitz transition between superfluids with and without an unpaired Fermi surface as a function of 1/akF. With decreasing R*kF, the Fermi surface coexisting with the superfluid can change smoothly from that of atoms to trimers ("atom-trimer continuity"), imitating the quark-hadron continuity in a dense nuclear matter. Eventually, there appears a finite window in 1/akF where the superfluid is completely depleted by the trimer Fermi gas, which gives rise to a pair of quantum critical points. The boundaries of these three quantum phases are determined in regions where controlled analyses are possible and are also evaluated based on a mean-field plus trimer model.
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http://arxiv.org/abs/1207.6971
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