Stability of a Vortex in a Trapped Bose-Einstein Condensate

dc.creatorSvidzinsky, Anatoly A.
dc.creatorFetter, Alexander L.
dc.date1998-11-25
dc.date1999-07-30
dc.date.accessioned2026-07-07T03:12:11Z
dc.date.available2026-07-07T03:12:11Z
dc.descriptionBased 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.
dc.descriptionRevTex, 5 pages, no figures, we have added a section in which dynamics of a vortex is studied using the method of matched asymptotic expansion
dc.identifierhttps://arxiv.org/abs/cond-mat/9811348
dc.identifierhttp://arxiv.org/abs/cond-mat/9811348
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/28810
dc.subjectStatistical Mechanics
dc.titleStability of a Vortex in a Trapped Bose-Einstein Condensate
dc.typetext

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