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Stability of a Vortex in a Trapped Bose-Einstein Condensate

Anatoly A. Svidzinsky·Alexander L. Fetter
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Abstract

Based on the method of matched asymptotic expansion and on a time-dependent variational analysis, we study the dynamics of a vortex in the large-condensate (Thomas-Fermi) limit. Both methods as well as an analytical solution of the Bogoliubov equations show that a vortex in a trapped Bose-Einstein condensate has formally unstable normal mode(s) with positive normalization and negative frequency, corresponding to a precession of the vortex line around the center of the trap. In a rotating trap, the solution becomes stable above an angular velocity $Ω_m$ characterizing the onset of metastability with respect to small transverse displacements of the vortex from the central axis.

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Anatoly A. Svidzinsky, Alexander L. Fetter. 1999-07-30. Stability of a Vortex in a Trapped Bose-Einstein Condensate. https://arxiv.org/abs/cond-mat/9811348

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