Svortices and the fundamental modes of the "snake instability": Possibility of observation in the gaseous Bose-Einstein Condensate

dc.creatorBrand, Joachim
dc.creatorReinhardt, William P.
dc.date2001-05-30
dc.date.accessioned2026-07-07T02:41:36Z
dc.date.available2026-07-07T02:41:36Z
dc.descriptionThe connection between quantized vortices and dark solitons in a long and thin, waveguide-like trap geometry is explored in the framework of the non-linear Schrödinger equation. Variation of the transverse confinement leads from the quasi-1D regime where solitons are stable to 2D (or 3D) confinement where soliton stripes are subject to a transverse modulational instability known as the ``snake instability''. We present numerical evidence of a regime of intermediate confinement where solitons decay into single, deformed vortices with solitonic properties, also called svortices, rather than vortex pairs as associated with the ``snake'' metaphor. Further relaxing the transverse confinement leads to production of 2 and then 3 vortices, which correlates perfectly with a Bogoliubov-de Gennes stability analysis. The decay of a stationary dark soliton (or, planar node) into a single svortex is predicted to be experimentally observable in a 3D harmonically confined dilute gas Bose-Einstein condensate.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0105581
dc.identifierhttp://arxiv.org/abs/cond-mat/0105581
dc.identifierPhys. Rev. A 65, 043612 (2002)
dc.identifierdoi:10.1103/PhysRevA.65.043612
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/17805
dc.subjectSoft Condensed Matter
dc.titleSvortices and the fundamental modes of the "snake instability": Possibility of observation in the gaseous Bose-Einstein Condensate
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