After the pioneering studies on spinor Bose-Einstein condensate (BEC) and after the realization of spin-orbit (SO) coupling in a spinor BEC of 87Rb and 23Na atoms, it is now realized that an SO-coupled BEC may reveal new physical phenomena not possible in a scalar BEC. For example, a new class of two- or three-dimensional vector soliton can be stabilized and observed in an SO-coupled BEC, whereas such a soliton is unstable in a scalar BEC. In this paper, we present a review on solitons in an SO-coupled spin-1 spinor BEC in one, two, and three space dimensions. In addition to the static properties of these solitons, we also consider their dynamics of motion with a constant velocity and collision between two solitons.

中文翻译：

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自旋轨道耦合自旋 1 玻色-爱因斯坦凝聚中的孤子

在对自旋玻色-爱因斯坦凝聚 (BEC) 的开创性研究以及在 87Rb 和 23Na 原子的自旋 BEC 中实现自旋轨道 (SO) 耦合后，现在意识到 SO 耦合的 BEC 可能揭示新的物理现象在标量 BEC 中是不可能的。例如，可以在 SO 耦合 BEC 中稳定和观察一类新的二维或三维矢量孤子，而这种孤子在标量 BEC 中是不稳定的。在本文中，我们对 SO 耦合的自旋 1 自旋 BEC 中的孤子进行了一个、两个和三个空间维度的综述。除了这些孤子的静态特性之外，我们还考虑了它们在两个孤子之间以恒定速度和碰撞的运动动力学。