Nonlinear Schrödinger Equations for Bose-Einstein Condensates

Document Type

Conference Proceeding

Publication Date

10-2013

Publication Title

Nonlinear and Modern Mathematical Physics: AIP Conference Proceedings

DOI

10.1063/1.4828682

ISBN

978-0-7354-1190-6

ISSN

1551-7616

Abstract

The Gross-Pitaevskii equation, or more generally the nonlinear Schrödinger equation, models the Bose-Einstein condensates in a macroscopic gaseous superfluid wave-matter state in ultra-cold temperature. We provide analytical study of the NLS with L 2 initial data in order to understand propagation of the defocusing and focusing waves for the BEC mechanism in the presence of electromagnetic fields. Numerical simulations are performed for the two-dimensional GPE with anisotropic quadratic potentials.

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