Collective modes of trapped gases at the BEC-BCS crossover

Abstract

The collective mode frequencies in isotropic and deformed traps are calculated for general polytropic equation of states, $P\propto n^{\gamma +1}$, and expressed in terms of $\gamma$ and the trap geometry. For molecular and standard Bose-Einstein condensates and Fermi gases near Feshbach resonances, the effective power $\gamma \simeq 0.5-1.3$ is calculated from Jastrow type wave-function ansätze, and from the crossover model of Leggett. The resulting mode frequencies are calculated for these phases around the BCS-BEC crossover.

Revised version to be published in PRL

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