Existence of solitary waves in dipolar quantum gases

Paolo Antonelli; Christof Sparber

doi:10.1016/j.physd.2010.10.004

Existence of solitary waves in dipolar quantum gases

Paolo Antonelli, Christof Sparber

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

We study a nonlinear Schrdinger equation arising in the mean field description of dipolar quantum gases. Under the assumption of sufficiently strong dipolar interactions, the existence of standing waves, and hence solitons, is proved together with some of their properties. This gives a rigorous argument for the possible existence of solitary waves in BoseEinstein condensates, which originate solely due to the dipolar interaction between the particles. © 2010 Elsevier B.V. All rights reserved.

Original language	English (US)
Pages (from-to)	426-431
Number of pages	6
Journal	Physica D: Nonlinear Phenomena
Volume	240
Issue number	4-5
DOIs	https://doi.org/10.1016/j.physd.2010.10.004
State	Published - Feb 2011
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-I1-007-43
Acknowledgements: This publication is based on the work supported by Award No. KUK-I1-007-43, funded by the King Abdullah University of Science and Technology (KAUST). C. Sparber has been supported by the Royal Society through his University research fellowship.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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10.1016/j.physd.2010.10.004

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title = "Existence of solitary waves in dipolar quantum gases",

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author = "Paolo Antonelli and Christof Sparber",

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AU - Sparber, Christof

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AB - We study a nonlinear Schrdinger equation arising in the mean field description of dipolar quantum gases. Under the assumption of sufficiently strong dipolar interactions, the existence of standing waves, and hence solitons, is proved together with some of their properties. This gives a rigorous argument for the possible existence of solitary waves in BoseEinstein condensates, which originate solely due to the dipolar interaction between the particles. © 2010 Elsevier B.V. All rights reserved.

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JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

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Existence of solitary waves in dipolar quantum gases

Abstract

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