Stability of a Vortex in a Trapped Bose-Einstein Condensate
Stability of a Vortex in a Trapped Bose-Einstein Condensate
Based on the method of matched asymptotic expansions and on a time-dependent variational analysis, we study the dynamics of a vortex in a three-dimensional disk-shaped nonaxisymmetric condensate in the Thomas-Fermi limit. Both methods show that a vortex in a trapped Bose-Einstein condensate has formally unstable normal mode(s) with positive normalization …