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Nonlinear Schrödinger Equations for Bose-Einstein Condensates

Published 6 Aug 2019 in math.AP, math-ph, and math.MP | (1908.01921v1)

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 $L2$ 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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Authors (2)

  1. Luigi Galati 
  2. Shijun Zheng 

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