Composite Bosons description of rapidly rotating Bose-Einstein Condensates
Recently a novel phase transition has been observed \cite{jalin} in a rotating Bose-Einstein condensate when the rotating frequency $\Omega$ reaches the transverse trap frequency $\omega_{\bot}$ 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. %