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Collective Modes of Trapped Gases at the BEC-BCS Crossover

H. HeiselbergDanish Defense Research Establishment, Ryvangsalle' 1, 2100 Copenhagen Ø, Denmark
2004en
ABI

Abstract

The collective mode frequencies in isotropic and deformed traps are calculated for general polytropic equation of states, P proportional 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 approximately 0.5-1.3 is calculated from Jastrow type wave-function ansatz, and from the crossover model of Leggett. The resulting mode frequencies are calculated for these phases around the BEC-BCS crossover.

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