Composite Bosons description of rapidly rotating Bose-Einstein Condensates

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Recently a novel phase transition has been observed \cite{jalin} in a rotating Bose-Einstein condensate when the rotating frequency $Ω$ reaches the transverse trap frequency $ω_{\bot}$ and eventually crosses it. We study certain aspects of this experiment in terms of the condensation of composite bosons and the corresponding vortex formation using a Chern-Simon Gross-Pitaevskii theory. %
latex file, 13 pages, submitted

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