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

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  • Si-Qi Li
  • Xiang-Gui Li
  • Dong-Ying Hua

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.

Suggested Citation

  • Si-Qi Li & Xiang-Gui Li & Dong-Ying Hua, 2013. "A Time-Splitting and Sine Spectral Method for Dynamics of Dipolar Bose-Einstein Condensate," Advances in Mathematical Physics, Hindawi, vol. 2013, pages 1-7, August.
    • Handle: RePEc:hin:jnlamp:517395
    DOI: 10.1155/2013/517395
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