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Bose--Einstein solitons in highly asymmetric traps

arXiv:quant-ph/9803038 · doi:10.1103/PhysRevA.57.3837

Abstract

We obtain analytic solutions to the Gross-Pitaevskii equation with negative scattering length in highly asymmetric traps. We find that in these traps the Bose--Einstein condensates behave like quasiparticles and do not expand when the trapping in one direction is eliminated. The results can be applicable to the control of the motion of Bose--Einstein condensates.

12 pages, Latex, Figures available under request on vperez@ind-cr.uclm.es