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 nγ+1, and expressed in terms of γ and the trap geometry. For molecular and standard Bose-Einstein condensates and Fermi gases near Feshbach resonances, the effective power γ0.5-1.3 is calculated from Jastrow type wave-function ans\"atze, and from the crossover model of Leggett. The resulting mode frequencies are calculated for these phases around the BCS-BEC crossover.
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