Dynamic instability of a rotating Bose-Einstein condensate

Preprint

23 October 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.cond-mat/0101292

Abstract

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.

Keywords

BOSE EINSTEIN CONDENSATE
DYNAMICAL INSTABILITIES
EINSTEIN CONDENSATE
STIRRING PROCEDURE
INSTABILITIES
ROTATING BOSE
EVOLUTION

All Related Versions

Version 1, 2001-01-18, ArXiv
Version 2, 2001-01-31, ArXiv
Version 3, 2001-10-23, ArXiv
Published version: Physical Review Letters, 87 (19), 190402.

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