标题： 同心环形阱中自旋为 1 的玻色-爱因斯坦凝聚态中的奇异量子态 显示英文标题

标题： Exotic Quantum States in Spin-1 Bose-Einstein Condensate with Spin-Orbit Coupling in Concentric Annular Traps

摘要： 我们探讨了在自旋轨道耦合（SOC）作用下，强关联自旋-1玻色-爱因斯坦凝聚体在二维同心环状势阱基态（GS）中出现的奇异量子态。在反铁磁情况下，GS密度表现出各种分布模式，包括化妆状态、花瓣状态、拓扑裂纹状态、多半个环状态以及性质区分的垂直和水平条纹状态。我们注意到一种密度相分离的奇特现象，即密度和相位的变化倾向于独立变化。在铁磁情况下，GS呈现出嵌入涡旋和反涡旋的半圆形或半盘状密度状态。自旋分布可以自发排列成半斯格明子阵列，我们还发现了一种分离涡旋-反涡旋对的半反斯格明子围栏。我们的研究表明，通过SOC、相互作用和势能几何形状之间的相互作用，可以操控奇异量子态的出现，丰富的状态变化也可能为量子计量学提供潜在资源。 显示英文摘要

摘要： We explore the exotic quantum states emerging in the ground state (GS) of a strongly-correlated spin-1 Bose-Einstein condensate confined in two-dimensional concentric annular traps with a spin-orbit coupling (SOC). In the antiferromagnetic case, the GS density manifests various patterns of distributions, including facial-makeup states, petal states, topological fissure states, multiple-half-ring states and property-distinguished vertical and horizonal stripe states. We notice a peculiar phenomenon of density-phase separation in the sense that the variations of density and phase tend to be independent. In ferromagnetic case, the GS exhibits a semi-circular or half-disk status of density embedded with vortices and anti-vortices. The spin distribution can self-arrange into an array of half-skyrmions and we also find a half-antiskyrmion fence separating vortex-antivortex pairs. Our study indicates that one can manipulate the emergence of exotic quantum states via the interplay of the SOC, interaction and potential geometry and the abundant state variations might also provide potential resources for quantum metrology.