Nonautonomous solitons of Bose-Einstein condensation in a linear potential with an arbitrary time-dependence
Other Condensed Matter
2010-12-30 v1 Quantum Gases
Abstract
In the presence of a linear potential with an arbitrary time-dependence, Hirota method is developed carefully for applying into the effective mean-field model of quasi-one-dimensional Bose-Einstein condensation with repulsive interaction. We obtain the exact nonautonomous soliton solution (NSS) analytically. These solutions show that the time-dependent potential can affect the velocity of NSS. In some special cases the velocity has the character of both increase and oscillation with time. A detail analysis for the asymptotic behaviour of solutions shows that the collision of two NSSs is elastic.
Keywords
Cite
@article{arxiv.1012.5475,
title = {Nonautonomous solitons of Bose-Einstein condensation in a linear potential with an arbitrary time-dependence},
author = {Qiu-Yan Li and Zai-Dong Li and Shu-Xin Wang and Wei-Wei Song and Guangsheng Fu},
journal= {arXiv preprint arXiv:1012.5475},
year = {2010}
}
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6 pages