Analytical solutions to the spin-1 Bose-Einstein condensates

被引：12

作者：

Zhang, Zhi-Hai ^{[1
]}

Zhang, Cong ^{[1
]}

Yang, Shi-Jie ^{[1
]}

Feng, Shiping ^{[1
]}

机构：

[1] Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China

来源：

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS | 2012年 / 45卷 / 21期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1088/0953-4075/45/21/215302

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We analytically solve the one-dimensional coupled Gross-Pitaevskii equations which govern the motion of the spinor- 1 Bose-Einstein condensates. The nonlinear density-density interactions are decoupled by making use of the unique properties of the Jacobian elliptical functions. Several types of time-invariant solutions are deduced. Furthermore, exact time-evolving solutions to the time-dependent Gross-Pitaevskii equations are constructed by making use of the spin-rotational symmetry of the Hamiltonian. The spin-polarizations exhibit kinked configurations.

引用

页数：8

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