Convergence rate of dimension reduction in Bose-Einstein condensates
Materials Science
2016-08-31 v1
Abstract
In this paper, we study dimension reduction of the three-dimensional (3D) Gross-Pitaevskii equation (GPE) modelling Bose-Einstein condensation under different limiting interaction and trapping frequencies parameter regimes. Convergence rates for the dimension reduction of 3D ground state and dynamics of the GPE in the case of disk-shaped condensation and cigar-shaped condensation are reported based on our asymptotic and numerical results. In addition, the parameter regimes in which the 3D GPE cannot be reduced to lower dimensions are identified.
Keywords
Cite
@article{arxiv.cond-mat/0609661,
title = {Convergence rate of dimension reduction in Bose-Einstein condensates},
author = {Weizhu Bao and Yunyi Ge and Dieter Jaksch and Peter A. Markowich and Rada M. Weishaeupl},
journal= {arXiv preprint arXiv:cond-mat/0609661},
year = {2016}
}
Comments
27pages; 9 figures