Ground States of Two-component Bose-Einstein Condensates with an Internal Atomic Josephson Junction

被引:60
作者
Bao, Weizhu [1 ,2 ]
Cai, Yongyong [1 ]
机构
[1] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore
[2] Natl Univ Singapore, Ctr Computat Sci & Engn, Singapore 117543, Singapore
关键词
Bose-Einstein condensate; coupled Gross-Pitaevskii equations; two-component; ground state; normalized gradient flow; internal atomic Josephson junction; energy;
D O I
10.4208/eajam.190310.170510a
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we prove existence and uniqueness results for the ground states of the coupled Gross-Pitaevskii equations for describing two-component Bose-Einstein condensates with an internal atomic Josephson junction, and obtain the limiting behavior of the ground states with large parameters. Efficient and accurate numerical methods based on continuous normalized gradient flow and gradient flow with discrete normalization are presented, for computing the ground states numerically. A modified backward Euler finite difference scheme is proposed to discretize the gradient flows. Numerical results are reported, to demonstrate the efficiency and accuracy of the numerical methods and show the rich phenomena of the ground sates in the problem.
引用
收藏
页码:49 / 81
页数:33
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