Multi Solitons of a Bose-Einstein Condensate in a Three-Dimensional Ring

Details Multi Solitons of a Bose-Einstein Condensate in a Three-Dimensional Ring Multi Solitons of a Bose-Einstein Condensate in a Three-Dimensional Ring

2005-11-03

arxiv.org/abs/nlin/0511009v1

Nonlinear Sciences

Pattern Formation and Solitons

3 pages, 2 figures. Presented to the School/Workshop 'Let us Face Chaos', Maribor 2005. To be published in the Proceedings

Scientific paper

A Bose-Einstein Condensate (BEC) made of alkali-metal atoms at ultra-low temperatures is well described by the three-dimensional cubic nonlinear Schr\"odinger equation, the so-called Gross-Pitaevskii equation (GPE). Here we consider an attractive BEC in a ring and by solving the GPE we predict the existence of bright solitons with single and multi-peaks, showing that they have a limited domain of dynamical stability. We also discuss finite-temperature effects on the transition from the uniform phase to the localized phase.

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