Dynamic instability of a rotating Bose-Einstein condensate
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
Cite
@article{arxiv.cond-mat/0101292,
title = {Dynamic instability of a rotating Bose-Einstein condensate},
author = {Subhasis Sinha and Yvan Castin},
journal= {arXiv preprint arXiv:cond-mat/0101292},
year = {2016}
}
Comments
4 pages, 3 figures, last version including comparison with experiments