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Advances in Mathematical Physics
Volume 2013, Article ID 517395, 7 pages
Research Article

A Time-Splitting and Sine Spectral Method for Dynamics of Dipolar Bose-Einstein Condensate

School of Applied Science, Beijing Information Science and Technology University, Beijing 100192, China

Received 28 May 2013; Accepted 9 July 2013

Academic Editor: Fedele Lizzi

Copyright © 2013 Si-Qi Li et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A two-component Bose-Einstein condensate (BEC) described by two coupled a three-dimension Gross-Pitaevskii (GP) equations is considered, where one equation has dipole-dipole interaction while the other one has only the usual s-wave contact interaction, in a cigar trap. The time-splitting and sine spectral method in space is proposed to discretize the time-dependent equations for computing the dynamics of dipolar BEC. The singularity in the dipole-dipole interaction brings significant difficulties both in mathematical analysis and in numerical simulations. Numerical results are given to show the efficiency of this method.