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arXiv · 1908.01921

Nonlinear Schr\"odinger Equations for Bose-Einstein Condensates

Luigi Galati·Shijun Zheng
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Abstract

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.

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Luigi Galati, Shijun Zheng. 2019-08-06. Nonlinear Schr\"odinger Equations for Bose-Einstein Condensates. https://doi.org/10.1063/1.4828682

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