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

Si-Qi Li, Xiang-Gui Li and Dong-Ying Hua

Advances in Mathematical Physics, 2013, vol. 2013, 1-7

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:517395

DOI: 10.1155/2013/517395

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