Stability of vortices in inhomogeneous Bose condensates subject to rotation: A three-dimensional analysis
J. J. García-Ripoll, V. M. Pérez-García
Physical Review A, 60, 4864-4872 (1999).
Pérez García, Victor M..
We study numerically the stability of axially symmetric vortex lines in trapped dilute gases subject to rotation. For this purpose, we solve numerically both the Gross-Pitaevskii and the Bogoliubov equations for a three-dimensional condensate in spherically and cylindrically symmetric traps, from small to very large nonlinearities. In the stationary case we find that the vortex states with m=1 and m=2 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. This result implies that the absolute minimum of the energy is not an eigenstate of the Lz operator, when the angular speed is above a certain value.