谐振势和环形势捕获的二元玻色气体：Rabi耦合下的超流、涡流和超流不稳定性
Two-component Bose gas trapped by harmonic and annular potentials: Supercurrent, vortex flow and instability of superfluidity by Rabi coupling
摘要：
本文研究了人工磁场中的双组分玻色气体系统，分别用同心谐波势和环形势囚禁。该系统是由具有两个内部状态的气体实现的，如$^{87}$ Rb的超精细状态。我们感兴趣的是他们之间的拉比振荡的影响。采用双组分玻色哈伯德模型描述系统，采用Gross-Pitaevskii方程研究系统。我们首先通过改变环隙宽度和磁场强度来研究环形陷阱中的玻色气体系统，特别是重点研究了相滑和超流。然后我们考虑了磁场中的耦合玻色气体系统。在强磁场中，两种玻色-爱因斯坦凝聚体中的涡旋都形成了Abrikosov三角形格子，涡旋在BEC中的位置通过Rabi耦合相互关联.然而，随着拉比耦合强度的增加，涡旋开始围绕其平衡位置振动。当强度进一步增加时，谐波阱中的涡流开始沿着环的边界移动。最后，对于大型Rabi联轴器，BEC被破坏。根据我们对环形阱中玻色-爱因斯坦凝聚现象的研究结果，讨论了上述现象的起因。
英文摘要：
In this paper, we study a system of two-component Bose gas in an artificial magnetic field trapped by concentric harmonic and annular potentials, respectively. The system is realized by gases with two-internal states like the hyperfine states of $^{87}$Rb. We are interested in effects of a Rabi oscillation between them. Two-component Bose Hubbard model is introduced to describe the system, and Gross-Pitaevskii equations are used to study the system. We first study the Bose gas system in the annular trap by varying the width of the annulus and strength of the magnetic field, in particular, we focus on the phase slip and superflow. Then we consider the coupled Bose gas system in a magnetic field. In a strong magnetic field, vortices form a Abrikosov triangular lattice in both Bose-Einstein condensates (BECs), and locations of vortices in the BECs correlate with each other by the Rabi coupling. However, as the strength of the Rabi coupling is increased, vortices start to vibrate around their equilibrium locations. As the strength is increased further, vortices in the harmonic trap start to move along the boundaries of the annulus. Finally for a large Rabi coupling, the BECs are destroyed. Based on our findings about the BEC in the annular trap, we discuss the origin of above mentioned phenomena.
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。
