TY - JOUR

T1 - Solitary waves on vortex lines in Ginzburg-Landau models for the example of Bose-Einstein condensates

AU - Berloff, Natalia G.

PY - 2005/1/14

Y1 - 2005/1/14

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=18144377455&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.94.010403

DO - 10.1103/PhysRevLett.94.010403

M3 - Article

AN - SCOPUS:18144377455

VL - 94

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 1

M1 - 010403

ER -