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, issue 1

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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https://doi.org/10.1155/2013/517395

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2013:y:2013:i:1:n:517395

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