Collective Oscillations of a Trapped Fermi Gas near the Unitary Limit

We calculate the oscillation frequencies of trapped Fermi condensate with particular emphasis on the equation of state of the interacting Fermi system. We confirm Stringari’s finding that the frequencies are independent of the interaction in the unitary limit, and we extend the theory away from that limit, where the interaction does affect the frequencies of the compressional modes only.

Figure 1

A comparison between the results of Ref. 12 (solid line with open circles) and of Ref. 24 (dashed line with squares) for the energy per particle as a function of the $1/k_{F}a$.