Condensed vortex ground states of rotating Bose-Einstein condensate in harmonic atomic trap

Abstract

We study a system of $N$ Bose atoms trapped by a symmetric harmonic potential, interacting via weak central forces. Considering the ground state of the rotating system as a function of the two conserved quantities, the total angular momentum and its collective component, we develop an algebraic approach to derive exact wave functions and energies of these ground states. We describe a broad class of the interactions for which these results are valid. This universality class is defined by simple integral condition on the potential. Most of the potentials of practical interest which have pronounced repulsive component belong to this universality class.

34 pages, 10 ps figures, minor revisions, to be publ. in Ann. Phys

References in corpus (5)

• Controlled Collapse of a Bose-Einstein Condensate
• Formation and Decay of Vortex Lattices in Bose-Einstein Condensates at Finite Temperatures
• Vortex stabilization in a small rotating asymmetric Bose-Einstein condensate
• Generalized yrast states of a Bose condensate in harmonic trap for a universality class of repulsive interactions
• Ground states of a system of interacting particles in a parabolic trap

Cited by in corpus (2)

• Vortex localization in rotating clouds of bosons and fermions
• Rotating ground states of trapped Bose atoms with arbitrary two-body interactions