Soliton solutions of the 3D Gross-Pitaevskii equation by a potential control method
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 (Other academic)
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.
, AIP Conference Proceedings, ISSN ISSN 0094-243X ; 1306
Research subject Physics
IdentifiersURN: urn:nbn:se:umu:diva-38753DOI: 10.1063/1.3533194ISBN: 978-0-7354-0862-3OAI: oai:DiVA.org:umu-38753DiVA: diva2:381442
2010 ICTP International Advanced Workshop on the Frontiers of Plasma Physics, Trieste, Italy 5-16 July 2010