Stability of vortices in inhomogeneous Bose condensates subject to rotation: A three-dimensional analysis

Juan J. García-Ripoll, Victor M. Pérez-García
1999 Physical Review A. Atomic, Molecular, and Optical Physics  
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
more » ... 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, Ω > Ω_2.
doi:10.1103/physreva.60.4864 fatcat:s4cpcspad5botehlhgmrmcy5ii