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arXiv 1710.06802cond-mat.quant-gas
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自旋轨道耦合低聚物模型

Models of spin-orbit coupled oligomers

G. Gligorić, A. Radosavljević, J. Petrović, A. Maluckov, Lj. Hadžievski, B. A. Malomed

摘要:

我们解决线性形状的字符串(二聚体,三聚体,四聚体和五聚体)的二元玻色-爱因斯坦凝聚体(BEC)的液滴建立的本征模的稳定性和动力学。二元BEC是由处于两个赝自旋态的原子组成的,它们之间存在相互吸引作用,并被适当排列的激光场修饰,从而引起(赝)自旋轨道(SO)耦合。我们证明了SO耦合项有助于在弦中创建特定类型的本征模。线性系统的二聚体、三聚体和五聚体本征模(对应于零本征值(EV,别名化学势))扩展到非线性本征模,保持精确的分析形式,而四聚体不允许这样的延续,因为相应的光谱不包含零EV。这些模式的稳定区域随着非线性的增加而缩小。除了这些模式,其他类型的非线性状态,这是由它们的线性对应于一些非零EV的延续,被发现在一个数字的形式(包括四聚体系统)。在三聚体和五聚体体系中,它们几乎在整个存在区域内都是稳定的,而在四聚体体系中,它们只在很小的区域内是稳定的。对于六聚体和七聚体,也获得了类似的结果,但未详细显示。

英文摘要:

We address the stability and dynamics of eigenmodes in linearly-shaped strings (dimers, trimers, tetramers, and pentamers) built of droplets of a binary Bose-Einstein condensate (BEC). The binary BEC is composed of atoms in two pseudo-spin states with attractive interactions, dressed by properly arranged laser fields, which induce the (pseudo-) spin-orbit (SO) coupling. We demonstrate that the SO-coupling terms help to create eigenmodes of particular types in the strings. Dimer, trimer, and pentamer eigenmodes of the linear system, which correspond to the zero eigenvalue (EV, alias chemical potential) extend into the nonlinear ones, keeping an exact analytical form, while tetramers do not admit such a continuation, because the respective spectrum does not contain a zero EV. Stability areas of these modes shrink with the increasing nonlinearity. Besides these modes, other types of nonlinear states, which are produced by the continuation of their linear counterparts corresponding to some nonzero EVs, are found in a numerical form (including ones for the tetramer system). They are stable in nearly entire existence regions in trimer and pentamer systems, but only in a very small area for the tetramers. Similar results are also obtained, but not displayed in detail, for hexa- and septamers.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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