Existence of solitary waves in dipolar quantum gases

Type
Article

Authors
Antonelli, Paolo
Sparber, Christof

KAUST Grant Number
KUK-I1-007-43

Date
2011-02

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.

Citation
Antonelli P, Sparber C (2011) Existence of solitary waves in dipolar quantum gases. Physica D: Nonlinear Phenomena 240: 426–431. Available: http://dx.doi.org/10.1016/j.physd.2010.10.004.

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.

Publisher
Elsevier BV

Journal
Physica D: Nonlinear Phenomena

DOI
10.1016/j.physd.2010.10.004

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