Generalized yrast states of a BoseEinstein condensate in a harmonic trap for a universality class of interactions
Abstract
For a system of N bosons in a twodimensional harmonic trap with frequency ω, interacting via forces V<<ħω, we develop a method to find the ground states of rotating Bose condensate as a function of two quantum numbers, the total angular momentum and the angular momentum of internal excitations (generalized yrast states). The energies of these condensed vortex states are expressed through the single twobody matrix element of interaction, V. A broad universality class of predominantly repulsive interactions for which these results hold is described by a simple integral condition on V. It includes Gaussian, δ function, and logCoulomb forces.
 Publication:

Physical Review A
 Pub Date:
 March 2002
 DOI:
 10.1103/PhysRevA.65.035603
 arXiv:
 arXiv:condmat/0102505
 Bibcode:
 2002PhRvA..65c5603H
 Keywords:

 03.75.Fi;
 03.65.Fd;
 32.80.Pj;
 67.40.Db;
 Algebraic methods;
 Optical cooling of atoms;
 trapping;
 Quantum statistical theory;
 ground state elementary excitations;
 Condensed Matter;
 Nuclear Theory;
 Physics  Atomic Physics;
 Quantum Physics
 EPrint:
 12 pages, 1 figure