Convergence rate of dimension reduction in Bose-Einstein condensates

In this paper, we study dimension reduction of the three-dimensional (3D) Gross–Pitaevskii equation (GPE) modeling Bose–Einstein condensation under different limiting interaction and trapping frequency 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. © 2007 Elsevier B.V. All rights reserved.

• Type: Journal
• Year: 2007
• Where: CPHYSICS
• Authors: Weizhu Bao, Yunyi Ge, Dieter Jaksch, Peter A. Markowich, Rada M. Weishäupl
• Keywords: Bose–Einstein Condensation, Condensation, CPHYSICS 2007, Dimension Reduction