Stability of rotating states in a weakly-interacting Bose-Einstein condensate

Details Stability of rotating states in a weakly-interacting Bose-Einstein condensate Stability of rotating states in a weakly-interacting Bose-Einstein condensate

2002-01-10

arxiv.org/abs/cond-mat/0201150v1

Phys. Rev. A, 65 (2002) 023602

Physics

Condensed Matter

6 pages, RevTex

Scientific paper

10.1103/PhysRevA.65.023602

We investigate the lowest state of a rotating, weakly-interacting Bose-Einstein condensate trapped in a harmonic confining potential that is driven by an infinitesimally asymmetric perturbation. Although in an axially-symmetric confining potential the gas has an axially-symmetric single-particle density distribution, we show that in the presence of the small asymmetric perturbation its lowest state is the one given by the mean-field approximation, which is a broken-symmetric state. We also estimate the rate of relaxation of angular momentum when the gas is no longer driven by the asymmetric perturbation and identify two regimes of "slow" and "fast" relaxation. States of certain symmetry are found to be more robust.

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