Nonlinear Schr\"odinger Equations for Bose-Einstein Condensates
Analysis of PDEs
2019-08-07 v1 Mathematical Physics
math.MP
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 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.
Cite
@article{arxiv.1908.01921,
title = {Nonlinear Schr\"odinger Equations for Bose-Einstein Condensates},
author = {Luigi Galati and Shijun Zheng},
journal= {arXiv preprint arXiv:1908.01921},
year = {2019}
}
Comments
17 pages