Stability of two-dimensional,controlled, Bose-Einstein coherent states |
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Authors: | D Jovanović R Fedele |
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Institution: | (1) Institute of Physics, P.O. Box 57, 11001 Belgrade, Serbia;(2) Dipartimento di Scienze Fisiche, Università Federico II and INFN Sezione di Napoli, Complesso Universitario di M.S. Angelo, via Cintia, 80126 Napoli, Italy |
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Abstract: | Two-dimensional stability of a controlled Bose-Einstein
condensation state, in the form of a nonlinear Schr?dinger soliton
JETP Lett. 80 535 (2004)], is studied
for the condensations with both repulsive and attractive inter-atom
interactions. The Gross-Pitaevski equation is solved numerically,
taking initialy a controlled soliton whose “effective mass” is
several times bigger than the critical value for a weak collapse in
the absence of a potential well, and allowing for reasonably large
errors in the experimental realization of the trapping potential
required by the theory. For repulsive and sufficiently weak
attractive interactions, the controlled state is shown to remain
stable inside a breathing potential well, for a time that is an
order of magnitude longer than the characteristic periods of the
forced and eigenoscillations of the soliton. The collapse is
observed only for attractive interactions, when the nonlinear
attraction exceeded the appropriate threshold.
Electronic supplementary material Supplementary Online Material |
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Keywords: | PACS" target="_blank">PACS 03 75 Lm Tunneling Josephson effect Bose-Einstein condensates in periodic potentials solitons vortices and topological excitations 05 45 Yv Solitons 05 30 Jp Boson systems |
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