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

被引：1
|
作者：
Li, Si-Qi [1 ]
Li, Xiang-Gui [1 ]
Hua, Dong-Ying [1 ]
机构：
[1] Beijing Informat Sci & Technol Univ, Sch Appl Sci, Beijing 100192, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
关键词：
Bose-Einstein condensate; Gross-Pitaevskii equation; dipolar interaction; ground state; spectral method;
D O I：
10.1186/1687-1847-2013-204
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
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