Rotating multicomponent Bose-Einstein condensates

In the understanding of the spatial behavior of interacting components of multicomponent Bose-Einstein condensates (BECs), a central problem is to establish whether coexistence of all the components occurs, or the interspecies interaction leads to extinction, that is, configurations where one or more densities are null. In this paper, for the rotating k-mixture BEC, we prove that the interspecies interaction leads to extinction in the Thomas-Fermi approximation.