Meng Hongjuan, Wang Jing, Fan Xiaobei, Wang Qingqing, Shao Kaihua, Zhao Yuexin, Wang Wenyuan, Shi Yuren
College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China and Key Laboratory of Atomic and Molecular Physics and Functional Materials of Gansu Province, Northwest Normal University, Lanzhou 730070, China.
Phys Rev E. 2023 Sep;108(3-1):034215. doi: 10.1103/PhysRevE.108.034215.
The combination of the two hot topics of spin-orbit coupling and honeycomb lattices leads to the appearance of fascinating issues. In this paper, we investigate the existence and stability of vector gap solitons of spin-orbit-coupled Bose-Einstein condensates loaded in honeycomb optical lattices. The existence and stability of vector gap solitons are highly sensitive to the properties of interspin and intraspin atomic interaction. We numerically obtain the parametric dependence of the existence of vector gap solitons both in the semi-infinite gap and in the first gap. Since only dynamically stable localized modes in nonlinear systems are likely to be generated and observed in experiments, we examine the stability of the vector gap solitons by using the direct evolution dynamics, and obtain the phase diagram of stable and unstable vector gap solitons on the parameter plane of interspin and intraspin atomic interactions.
自旋轨道耦合与蜂窝晶格这两个热门话题相结合，引发了一些引人入胜的问题。在本文中，我们研究了加载在蜂窝光学晶格中的自旋轨道耦合玻色 - 爱因斯坦凝聚体的矢量能隙孤子的存在性和稳定性。矢量能隙孤子的存在性和稳定性对自旋间和自旋内原子相互作用的性质高度敏感。我们通过数值方法得到了半无限能隙和第一能隙中矢量能隙孤子存在的参数依赖性。由于在非线性系统中只有动态稳定的局域模才有可能在实验中产生和观测到，我们利用直接演化动力学研究了矢量能隙孤子的稳定性，并在自旋间和自旋内原子相互作用的参数平面上得到了稳定和不稳定矢量能隙孤子的相图。
