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arXiv:1908.01921 [math.AP]AbstractReferencesReviewsResources

Nonlinear Schrödinger Equations for Bose-Einstein Condensates

Luigi Galati, Shijun Zheng

Published 2019-08-06Version 1

The Gross-Pitaevskii equation, or more generally the nonlinear Schr\"odinger 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.

Comments: 17 pages
Journal: Nonlinear and Modern Mathematical Physics: Proceedings of the 2nd International Workshop. American Institute of Physics Conference Proceedings, Volume 1562 (2013), Issue 1
Categories: math.AP, math-ph, math.MP
Subjects: 35Q55, 65M70
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