Collective Modes and Stability of Bose-Fermi Mixtures with a BCS-BEC Crossover

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dc.creatorShibata, Hiroyuki
dc.creatorYokoshi, Nobuhiko
dc.creatorKurihara, Susumu
dc.date2007-02-05
dc.date2007-03-31
dc.date.accessioned2026-07-07T08:05:46Z
dc.date.available2026-07-07T08:05:46Z
dc.descriptionWe investigate an ultracold Bose-Fermi mixture with a Feshbach resonance between two hyperfine states of fermions. Using a functional integral method, we calculate collective modes associated with fermion-pairs and bosons in a superfluid phase. We derive a stability condition of the mixtures, which is valid in the entire region of the BCS-BEC crossover. This stability condition, which smoothly connects the well-known results obtained in both the BCS and BEC limits, shows that sufficiently strong FB interactions destabilize the mixtures. In order to investigate the consequence of this instability, we study the ground state energy of both the uniformly mixed and the phase-separated states. We find that the FB repulsion induces a phase separation, whereas the FB attraction should cause a collapse of the mixture. The possibilities for the experimental observation of such instabilities are also discussed.
dc.description7 pages, 3 figures, references added, section IV and VI revised
dc.identifierhttps://arxiv.org/abs/cond-mat/0702094
dc.identifierhttp://arxiv.org/abs/cond-mat/0702094
dc.identifierPhys. Rev. A 75, 053615 (2007)
dc.identifierdoi:10.1103/PhysRevA.75.053615
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130380
dc.subjectOther Condensed Matter
dc.subjectSuperconductivity
dc.titleCollective Modes and Stability of Bose-Fermi Mixtures with a BCS-BEC Crossover
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