Time-Dependent Trapping of Solitons in Bose-Einstein Condensates

Details Time-Dependent Trapping of Solitons in Bose-Einstein Condensates Time-Dependent Trapping of Solitons in Bose-Einstein Condensates

2002-11-29

arxiv.org/abs/cond-mat/0211702v1

Physics

Condensed Matter

Soft Condensed Matter

12 pages, 5 figures

Scientific paper

We study the influence of a time-dependent potential on the motion of solitons in a quasi one-dimensional Bose-Einstein condensate by solving the corresponding Gross-Pitaevskii equation. For a suitable choice of the external potentials as well as the initial soliton characteristics time-dependent trapping of the soliton in a prescribed subarea of the condensate can be achieved. Adiabatic perturbation theory is shown to work remarkably well for large switching on times of the trapping potential and allows to perform a detailed study of the degree of trapping in the complete phase space of the soliton center. A remarkable spiral pattern of the degree of trapping as a function of the soliton characteristics is observed and explained.

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