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

1999; American Physical Society; Volume: 60; Issue: 6 Linguagem: Inglês

10.1103/physreva.60.4864

1538-4446

Juan José García‐Ripoll, Victor M. Pérez-Garcı́a,

Quantum, superfluid, helium dynamics

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, $\Omega > \Omega_2$.