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Stability of a Vortex in a Trapped Bose-Einstein Condensate | | Anatoly A. Svidzinsky
; Alexander L. Fetter
; | | Date: |
25 Nov 1998 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Affiliation: | Stanford | | 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 $Omega_m$ characterizing the onset of metastability with respect to small transverse displacements of the vortex from the central axis. | | Source: | arXiv, cond-mat/9811348 | | Other source: | [GID 719301] pmid10991089 | | Services: | Forum | Review | PDF | Favorites | |
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