Rotating ground states of trapped Bose atoms with arbitrary two-body interactions

Abstract

In a k-dimensional system of weakly interacting Bose atoms trapped by a spherically symmetric and harmonic external potential, an exact expression is obtained for the rotating ground states at a fixed angular momentum. The result is valid for arbitrary interactions obeying minimal physical requirements. Depending on the sign of a modified scattering length, it reduces to either a collective rotation or a condensed vortex state, with no alternative. The ground state can undergo a kind of quantum phase transition when the shape of the interaction potential is smoothly varied.

Talk given at the International Conference on Theoretical Physics (TH2002),Paris, UNESCO, 22-27 July; 11 pages, 3 figures, few typos fixed