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Soliton solutions of the 3D Gross-Pitaevskii equation by a potential control method
(Dipartimento di Scienze Fisiche, Università Federico II and INFN, Complesso Universitario di M. S. Angelo, Via Cintia, I-80126 Napoli, Italy)
Institut für Theoretische Physik IV, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, Germany .
Institut für Theoretische Physik IV, Fakultät für Physik und Astronomie, Ruhr-Universität Bochum, Germany .
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2010 (English)In: New Frontiers in Advanced Plasma Physics: proceedings of the 2010 ICTP international advanced workshop on the frontiers of plasma physics / [ed] Bengt Eliasson, Padma Kant Shukla, 2010, 61-74 p.Conference paper, Published paper (Other academic)
Abstract [en]

We present a class of three-dimensional solitary waves solutions of the Gross-Pitaevskii (GP) equation, which governs the dynamics of Bose-Einstein condensates (BECs). By imposing an external controlling potential, a desired time-dependent shape of the localized BEC excitation is obtained. The stability of some obtained localized solutions is checked by solving the time-dependent GP equation numerically with analytic solutions as initial conditions. The analytic solutions can be used to design external potentials to control the localized BECs in experiment.

Place, publisher, year, edition, pages
2010. 61-74 p.
Series
AIP Conference Proceedings, ISSN ISSN 0094-243X ; 1306
National Category
Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:umu:diva-38753DOI: 10.1063/1.3533194ISBN: 978-0-7354-0862-3 (print)OAI: oai:DiVA.org:umu-38753DiVA: diva2:381442
Conference
2010 ICTP International Advanced Workshop on the Frontiers of Plasma Physics, Trieste, Italy 5-16 July 2010
Available from: 2010-12-27 Created: 2010-12-27 Last updated: 2011-02-03Bibliographically approved

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