It was found that spatially confined spin–orbit (SO) coupling, which can be induced by illuminating Bose–Einstein condensates (BECs) with a Gaussian laser beam, can help trap a spinor Bose gas in multi-dimensional space. Previous works on this topic were all based on a Boson gas featuring an attractive interaction. In this paper, we consider the trapping effect in the case in which the Boson gas features a repulsive interaction. After replacing the repulsive effect, stable excited modes of semi-vortex (SV) type and mixed-mode (MM) type, which cannot be created in a Boson gas with attractive interactions, can be found in the current setting. The trapping ability and the capacity of the confined SO coupling versus the degree of the repulsive strength as well as the order of the excited mode are systematically discussed firstly through the paper. Moreover, the stability of the nonlinear mode trapped in this system with a moving reference frame is also discussed. Unlike the system with homogeneous SO coupling, two different types of stationary mobility modes can be stabilized when the SO coupling moves in the x- and y-directions, respectively. This finding indicates that the system with moving confined SO coupling features a typical anisotropic character that differs from the system with moving homogeneous SO coupling.

研究发现，空间受限的自旋轨道耦合（SO），可以通过用高斯激光束照射玻色－爱因斯坦凝聚物（BEC）来诱导，可以帮助将旋光玻色气体捕获在多维空间中。以前有关该主题的研究全部基于具有吸引力相互作用的玻色子气。在本文中，我们考虑了玻色子气体具有排斥相互作用的情况下的捕集效应。替换排斥作用后，可以在当前设置中找到半涡（SV）型和混合模式（MM）型的稳定激发模式，而这种激发模式无法在具有吸引作用的玻色子气体中创建。本文首先系统地讨论了受限SO耦合的俘获能力和能力与排斥强度的程度以及激发模式的阶次。此外，还讨论了在具有移动参考系的系统中捕获的非线性模式的稳定性。与具有均匀SO耦合的系统不同，当SO耦合在系统中移动时，可以稳定两种不同类型的固定迁移率模式分别是x和y方向。该发现表明，具有移动受限SO耦合的系统具有典型的各向异性特征，该特征不同于具有移动均质SO耦合的系统。