A Time-Splitting and Sine Spectral Method for Dynamics of Dipolar Bose-Einstein Condensate. (1st August 2013)

• Record Type: Journal Article
• Authors: Li, Si-Qi; Li, Xiang-Gui; Hua, Dong-Ying
• Other Names: Lizzi Fedele Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2013(2013)
• Publication Date: 2013-08-01
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2013/517395
• Languages: English
• ISSNs: 1687-9120

Abstract

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.