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

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

2006-03-03

arxiv.org/abs/cond-mat/0603059v1

Physics

Condensed Matter

Other Condensed Matter

5 pages, 4 figures

Scientific paper

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 $\pi$-phase difference between the waves promotes elastic collisions, and gives excellent agreement with recent experimental results over long timescales.

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