Low-energy states in the lowest Landau level for rotating two-component Bose gases

In a previous work we have shown that one can use the composite fermion (CF) approach to find very good approximations to the lowest energy eigenstates of a rotating dilute two- component atomic Bose gas in the lowest Landau level. In particular, the CF approach surprisingly yields very good results also for low angular momenta, far from the quantum Hall regime. In the low L regime, the number of seemingly distinct candidate wave functions tends to be orders of magnitude larger than the number of linearly independent ones, precluding efficient application of the approach. Here we present a subset of CF wave functions that give good approximations to the ground state and low-lying excited states, and for which we have identified all linear dependence relations. The subset is used to study vortex formation and structure for L