Rotational spectra of weakly interacting Bose-Einstein condensates - art. no. 023616

We study the spectrum of rotating Bose-Einstein condensates in the limit of weak repulsive interactions and present analytical and numerical results f or energies and wave functions. While the low-lying states are of collectiv e nature, the high-lying states are dominated by single-particle excitation s and can be accurately approximated by simple polynomial expressions. In t he limit that the number of particles is large compared to the number of ex cited quanta, the single-particle states become excellent approximations to the eigenstates, and a rather simple ordering scheme is obtained.