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Time-Dependent Trapping of Solitons in Bose-Einstein Condensates

H. E. Nistazakis·D. J. Frantzeskakis·N. Brouzakis·F. K. Diakonos·P. Schmelcher·J. Schmiedmayer
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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.

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H. E. Nistazakis, D. J. Frantzeskakis, N. Brouzakis, F. K. Diakonos, P. Schmelcher, J. Schmiedmayer. 2002-11-29. Time-Dependent Trapping of Solitons in Bose-Einstein Condensates. https://arxiv.org/abs/cond-mat/0211702

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