2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/21830Recently 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, submittedMesoscale and Nanoscale PhysicsStatistical Mechanicstext