Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2007-02-05
Phys. Rev. A 75, 053615 (2007)
Physics
Condensed Matter
Other Condensed Matter
7 pages, 3 figures, references added, section IV and VI revised
Scientific paper
10.1103/PhysRevA.75.053615
We 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.
Kurihara Susumu
Shibata Hiroyuki
Yokoshi Nobuhiko
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