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The critical velocity for vortex existence in a two-dimensional rotating Bose–Einstein condensate

2005; Elsevier BV; Volume: 233; Issue: 1 Linguagem: Inglês

10.1016/j.jfa.2005.06.020

1096-0783

Radu Ignat, Vincent Millot,

Quantum, superfluid, helium dynamics

We investigate a model corresponding to the experiments for a two-dimensional rotating Bose–Einstein condensate. It consists in minimizing a Gross–Pitaevskii functional defined in R2 under the unit mass constraint. We estimate the critical rotational speed Ω1 for vortex existence in the bulk of the condensate and we give some fundamental energy estimates for velocities close to Ω1.