%0 Journal Article
%T Stability of vortices in rotating taps: a 3d analysis
%A J. J. Garcia-Ripoll
%A V. M. Perez-Garcia
%J Physics
%D 1999
%I arXiv
%R 10.1103/PhysRevA.60.4864
%X We study the stability of vortex-lines in trapped dilute gases subject to rotation. We solve numerically both the Gross-Pitaevskii and the Bogoliubov equations for a 3d condensate in spherically and cilyndrically symmetric stationary traps, from small to very large nonlinearities. In the stationary case it is found that the vortex states with unit and $m=2$ charge are energetically unstable. In the rotating trap it is found that this energetic instability may only be suppressed for the $m=1$ vortex-line, and that the multicharged vortices are never a local minimum of the energy functional, which implies that the absolute minimum of the energy is not an eigenstate of the $L_z$ operator, when the angular speed is above a certain value, $\Omega > \Omega_2$.
%U http://arxiv.org/abs/cond-mat/9903353v2