Dynamic instability of a rotating Bose-Einstein condensate

Details Dynamic instability of a rotating Bose-Einstein condensate Dynamic instability of a rotating Bose-Einstein condensate

2001-01-18

arxiv.org/abs/cond-mat/0101292v3

Phys.Rev.Lett.87:190402,2001

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 3 figures, last version including comparison with experiments

Scientific paper

10.1103/PhysRevLett.87.190402

We consider a Bose-Einstein condensate subject to a rotating harmonic potential, in connection with recent experiments leading to the formation of vortices. We use the classical hydrodynamic approximation to the non-linear Schr\"odinger equation to determine almost analytically the evolution of the condensate. We predict that this evolution can exhibit dynamical instabilities, for the stirring procedure previously demonstrated at ENS and for a new stirring procedure that we put forward. These instabilities take place within the range of stirring frequency and amplitude for which vortices are produced experimentally. They provide therefore an initiating mechanism for vortex nucleation.

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