Author:
Sriburadet Sirilak,Shih Yin-Tzer,Jeng B.-W.,Hsueh C.-H.,Chien C.-S.
Abstract
AbstractWe study the existence of nontrivial solution branches of three-coupled Gross–Pitaevskii equations (CGPEs), which are used as the mathematical model for rotating spin-1 Bose–Einstein condensates (BEC). The Lyapunov–Schmidt reduction is exploited to test the branching of nontrivial solution curves from the trivial one in some neighborhoods of bifurcation points. A multilevel continuation method is proposed for computing the ground state solution of rotating spin-1 BEC. By properly choosing the constraint conditions associated with the components of the parameter variable, the proposed algorithm can effectively compute the ground states of spin-1 $$^{87}Rb$$
87
R
b
and $$^{23}Na$$
23
N
a
under rapid rotation. Extensive numerical results demonstrate the efficiency of the proposed algorithm. In particular, the affect of the magnetization on the CGPEs is investigated.
Funder
Ministry of Science and Technology, Taiwan
Publisher
Springer Science and Business Media LLC
Cited by
1 articles.
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