The numerical method for computing the ground state of the two-component dipolar Bose-Einstein condensate

Advances in Difference Equations

Si-Qi Li¹  Xiang-Gui Li¹  Dong-Ying Hua¹ 

[1] School of Applied Science, Beijing Information Science and Technology University, Beijing, P.R. China

关键词: Bose-Einstein condensate;    Gross-Pitaevskii equation;    dipolar interaction;    ground state;    spectral method;   

DOI  :  10.1186/1687-1847-2013-204

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

A two-component Bose-Einstein condensate described by two coupled Gross-Pitaevskii (GP) equations in three dimensions is considered, where one equation has dipole-dipole interactions while the other one has only the usual s-wave contact interaction, in a harmonic trap. The singularity in the dipole-dipole interactions brings significant difficulties both in mathematical analysis and in numerical simulations. The backward Euler method in time and the sine spectral method in space are proposed to compute the ground states. Numerical results are given to show the efficiency of this method.

【 授权许可】

CC BY