Solitary waves on vortex lines in Ginzburg-Landau models for the example of Bose-Einstein condensates

Natalia G. Berloff

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10 Citations (Scopus)

Abstract

Axisymtnetric disturbances that preserve their form as they move along the vortex lines in uniform Bose-Einstein condensates are obtained numerically by the solution of the Gross-Pitaevskii equation. A continuous family of such solitary waves is shown in the momentum (p)-substitution energy (ε̂) plane with p → 0.09ρ K3/c2, ε̂ → 0.091 ρ K3/c as U → c, where ρ is the density, c is the speed of sound, K is the quantum of circulation, and U is the solitary wave velocity. It is shown that collapse of a bubble captured by a vortex line leads to the generation of such solitary waves in condensates. The various stages of collapse are elucidated. In particular, it is shown that during collapse the vortex core becomes significantly compressed, and after collapse two solitary wave trains moving in opposite directions are formed on the vortex line.

Original languageEnglish
Article number010403
JournalPhysical Review Letters
Volume94
Issue number1
DOIs
Publication statusPublished - 14 Jan 2005
Externally publishedYes

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