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Collisions between solitary waves of three-dimensional Bose-Einstein condensates

N. G. Parker·A. M. Martin·S. L. Cornish·C. S. Adams
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Abstract

We study bright solitary waves of three dimensional trapped Bose-Einstein condensates and their collisions. For a single solitary wave, in addition to an upper critical number, we also find a {\em lower} cut-off, below which no stable state can be found. Collisions between solitary waves can be elastic, inelastic with either reduced or increased outgoing speed, or completely unstable due to a collapse instability. A $π$-phase difference between the waves promotes elastic collisions, and gives excellent agreement with recent experimental results over long timescales.

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N. G. Parker, A. M. Martin, S. L. Cornish, C. S. Adams. 2006-03-03. Collisions between solitary waves of three-dimensional Bose-Einstein condensates. https://arxiv.org/abs/cond-mat/0603059

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