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Bright matter-wave soliton collisions in a harmonic trap : regular and chaotic dynamics

Martin, A.D.; Adams, C.S.; Gardiner, S.A.

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Authors

A.D. Martin



Abstract

Collisions between bright solitary waves in the 1D Gross-Pitaevskii equation with a harmonic potential, which models a trapped atomic Bose-Einstein condensate, are investigated theoretically. A particle analogy for the solitary waves is formulated and shown to be integrable for a two-particle system. The extension to three particles is shown to support chaotic regimes. Good agreement is found between the particle model and simulations of the full wave dynamics, suggesting that the dynamics can be described in terms of solitons both in regular and chaotic regimes, presenting a paradigm for chaos in wave mechanics.

Citation

Martin, A., Adams, C., & Gardiner, S. (2007). Bright matter-wave soliton collisions in a harmonic trap : regular and chaotic dynamics. Physical Review Letters, 98(2), https://doi.org/10.1103/physrevlett.98.020402

Journal Article Type Article
Publication Date Jan 1, 2007
Deposit Date Jul 16, 2007
Publicly Available Date Mar 29, 2024
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 98
Issue 2
DOI https://doi.org/10.1103/physrevlett.98.020402

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Published Journal Article (836 Kb)
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Copyright Statement
© 2007 by The American Physical Society. All rights reserved.





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