Time-Dependent Trapping of Solitons in Bose-Einstein Condensates
Abstract
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.
Keywords
Cite
@article{arxiv.cond-mat/0211702,
title = {Time-Dependent Trapping of Solitons in Bose-Einstein Condensates},
author = {H. E. Nistazakis and D. J. Frantzeskakis and N. Brouzakis and F. K. Diakonos and P. Schmelcher and J. Schmiedmayer},
journal= {arXiv preprint arXiv:cond-mat/0211702},
year = {2007}
}
Comments
12 pages, 5 figures