Matter-Wave Solitons in an F=1 Spinor Bose-Einstein Condensate
Matter-Wave Solitons in an F=1 Spinor Bose-Einstein Condensate
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DOI：
10.1143/jpsj.73.2996
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发表时间：
2004-10
影响因子：
1.7
通讯作者：
J. Ieda;T. Miyakawa;M. Wadati
中科院分区：
文献类型：
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作者：
J. Ieda;T. Miyakawa;M. Wadati
根据我们以前的工作[J. Ieda，T。Miyakawa和M. Wadati：在一个描述F =1旋量玻色-爱因斯坦凝聚体孤子动力学的新的可积模型上，我们详细讨论了具有自旋交换相互作用的多组分系统的性质.对于平均场相互作用为吸引相互作用（c 0 < 0），自旋交换相互作用为铁磁相互作用（c2 < 0）的系统，得到了精确的多亮孤子解.给出了单孤子解关于自旋态的完全分类和双孤子解的显式表达式。对于极性孤子，存在各种不同形状的解，包括双峰。我们发现，“单态对”密度可以用来区分这些能量简并孤子。通过计算孤子初态和终态的渐近形式，分析了处于相同或不同自旋态的孤子之间的碰撞效应。结果显示，th…
Following our previous work [J. Ieda, T. Miyakawa and M. Wadati: cond-mat/0404569] on a novel integrable model describing soliton dynamics of an F =1 spinor Bose–Einstein condensate, we discuss in detail the properties of the multi-component system with spin-exchange interactions. The exact multiple bright soliton solutions are obtained for the system where the mean-field interaction is attractive ( c 0 < 0) and the spin-exchange interaction is ferromagnetic ( c 2 < 0). A complete classification of the one-soliton solution with respect to the spin states and an explicit formula of the two-soliton solution are presented. For solitons in polar state, there exists a variety of different shaped solutions including twin peaks. We show that a “singlet pair” density can be used to distinguish those energetically degenerate solitons. We also analyze collisional effects between solitons in the same or different spin state(s) by computing the asymptotic forms of their initial and final states. The result reveals th...