Convergence rate of dimension reduction in Bose–Einstein condensates

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• 作者：Weizhu Bao ; Yunyi Ge ; Dieter Jaksch ; Peter A. Markowich ; Rada M. Weishä ; upl
• 关键词：Bose– ; Einstein condensation ; Dimension reduction ; Gross– ; Pitaevskii equation ; Ground state ; Convergence rate
• 刊名：Computer Physics Communications
• 出版年：2007
• 期刊代码：30_00104655
• 类别：cp
• 出版时间：1 December 2007
• 卷：177
• 期：11
• 页码：832-850
• 文件大小：559 K

摘要

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.