Convergence rate of dimension reduction in Bose-Einstein condensates

Details Convergence rate of dimension reduction in Bose-Einstein condensates Convergence rate of dimension reduction in Bose-Einstein condensates

2006-09-26

arxiv.org/abs/cond-mat/0609661v1

Comput. Phys. Comm., Vol. 177, No. 11, pp. 832-850, 2007

Physics

Condensed Matter

Materials Science

27pages; 9 figures

Scientific paper

10.1016/j.cpc.2007.06.015

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.

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