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arXiv 1805.03340cond-mat.quant-gasnlin.PS
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具有自旋轨道和Rabi耦合的二元玻色-爱因斯坦凝聚体中孤子的散射

Scattering of solitons in binary Bose-Einstein condensates with spin-orbit and Rabi couplings

Rafael M. P. Teixeira, Wesley B. Cardoso

摘要:

本文研究了含SO耦合和Rabi耦合的二元玻色-爱因斯坦凝聚体中孤子的散射。为此,我们推导出一个简化的ODE模型,以提供一个变分描述的碰撞动力学。此外,我们假设负的内部和组件间的相互作用强度,这样,即使在没有外部电位的情况下,也可以获得本地化的解决方案。通过对该模型进行广泛的数值模拟,我们观察到,对于特定条件,散射孤子的最终传播速度可能对初始条件的微小变化非常敏感,这可能是混沌的一个特征。此外,有无穷多个间隔的规则性出现从所获得的混沌状区域,并形成一个分形结构的反射/透射窗口。最后,我们研究了自旋轨道耦合强度的值如何改变临界速度,这是最小/最大值的孤子束缚态的出现,以及分形结构。

英文摘要:

In this paper we study the scattering of solitons in a binary Bose-Einstein Condensate (BEC) including SO- and Rabi-couplings. To this end, we derive a reduced ODE model in view to provide a variational description of the collisional dynamics. Also, we assume negative intra- and inter-component interaction strengths, such that one obtains localized solutions even in absence of external potentials. By performing extensive numerical simulations of this model we observe that, for specific conditions, the final propagation velocity of the scattered solitons could be highly sensitive to small changes in the initial conditions, being a possible signature of chaos. Additionally, there are infinitely many intervals of regularity emerging from the obtained chaotic-like regions and forming a fractal-like structure of reflection/transmission windows. Finally, we investigate how the value of the spin-orbit coupling strength changes the critical velocities, which are minimum/maximum values for the occurrence of solitons bound-states, as well as the fractal-like structure.

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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