Mean-field model of interaction between bright vortex solitons in Bose-Einstein condensates
arXiv:cond-mat/0207171 · doi:10.1088/1367-2630/5/1/137
Abstract
Using the explicit numerical solution of the axially-symmetric Gross-Pitaevskii equation we study the dynamics of interaction among vortex solitons in a rotating matter-wave bright soliton train in a radially trapped and axially free Bose-Einstein condensate to understand certain features of the experiment by Strecker et al.[2002 Nature 417 150]. In a soliton train, solitons of opposite phase (phase delta = pi) repel and stay apart without changing shape; solitons with delta = 0 attract, interact and coalesce, but eventually come out; solitons with a general delta usually repel but interact inelastically by exchanging matter. We study and suggest future experiments with vortex solitons.
12 Revtex4 pages with 17 PS figures, Disscussion improved, References added, Evolution of three-dimensional wave function of interacting solitons plotted
References in corpus (6)
- Modulational Instability and Complex Dynamics of Confined Matter-Wave Solitons
- Bose-condensed Bright Solitons under Transverse Confinement
- Bose-Einstein condensation dynamics in three dimensions by the pseudospectral and finite-difference methods
- Bose-Einstein condensate collapse: a comparison between theory and experiment
- Critical numbers of attractive Bose-condensed atoms in asymmetric traps
- Dynamics of a Bose-Einstein Condensate near a Feshbach Resonance
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