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Bright solitary waves of trapped atomic Bose-Einstein condensates

Parker, N.G.; Martin, A.M.; Adams, C.S.; Cornish, S.L.

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Authors

N.G. Parker

A.M. Martin



Abstract

Motivated by recent experimental observations, we study theoretically multiple bright solitary waves of trapped Bose–Einstein condensates. Through variational and numerical analyses, we determine the threshold for collapse of these states. Under π-phase differences between adjacent waves, we show that the experimental states lie consistently at the threshold for collapse, where the corresponding in-phase states are highly unstable. Following the observation of two long-lived solitary waves in a trap, we perform detailed three-dimensional simulations which confirm that in-phase waves undergo collapse while a π-phase difference preserves the long-lived dynamics and gives excellent quantitative agreement with experiment. Furthermore, intermediate phase differences lead to the growth of population asymmetries between the waves, which ultimately triggers collapse.

Citation

Parker, N., Martin, A., Adams, C., & Cornish, S. (2009). Bright solitary waves of trapped atomic Bose-Einstein condensates. Physica D: Nonlinear Phenomena, 238(15), 1456-1461. https://doi.org/10.1016/j.physd.2008.07.001

Journal Article Type Article
Publication Date Jul 1, 2009
Deposit Date Jan 23, 2012
Publicly Available Date Mar 29, 2024
Journal Physica D: Nonlinear Phenomena
Print ISSN 0167-2789
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 238
Issue 15
Pages 1456-1461
DOI https://doi.org/10.1016/j.physd.2008.07.001
Keywords Bright solitary wave, Bright soliton, Bose–Einstein condensate, Collapse, Collision.

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Copyright Statement
NOTICE: this is the author’s version of a work that was accepted for publication in Physica D: nonlinear phenomena. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Physica D: nonlinear phenomena, 238/15, 2009, 10.1016/j.physd.2008.07.001





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