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CPHYSICS
2007

Convergence rate of dimension reduction in Bose-Einstein condensates

9 years 11 months ago
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.
Weizhu Bao, Yunyi Ge, Dieter Jaksch, Peter A. Mark
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2007
Where CPHYSICS
Authors Weizhu Bao, Yunyi Ge, Dieter Jaksch, Peter A. Markowich, Rada M. Weishäupl
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