旋转双组分玻色-爱因斯坦凝聚体中的涡面
Vortex sheet in rotating two-component Bose-Einstein condensates
摘要：
通过数值模拟Gross-Pitaevskii方程，研究了旋转下不互溶的两组分玻色-爱因斯坦凝聚体的涡旋态.对于强的组分间排斥，两个组分经历相分离以形成相同组分的几个密度域。在旋转的存在下，成核涡旋在畴之间对齐，组成单量子化涡旋的缠绕链，即涡旋片，而不是周期性的涡旋晶格。一个组分的涡旋位于另一组分的密度域区域，这导致蛇形域结构。只要组分内参数的不平衡小，则片材构型是稳定的。我们采用了一个平面片模型来估计相邻片之间的距离，由畴壁的表面张力和超流的动能之间的竞争，通过量子化的漩涡。通过比较该系统中的几种长度尺度，得到了涡旋态的相图。
英文摘要：
We investigate vortex states of immiscible two-component Bose-Einstein condensates under rotation through numerical simulations of the coupled Gross-Pitaevskii equations. For strong intercomponent repulsion, the two components undergo phase separation to form several density domains of the same component. In the presence of the rotation, the nucleated vortices are aligned between the domains to make up winding chains of singly quantized vortices, a vortex sheet, instead of periodic vortex lattices. The vortices of one component are located at the region of the density domains of the other component, which results in the serpentine domain structure. The sheet configuration is stable as long as the imbalance of the intracomponent parameter is small. We employ a planar sheet model to estimate the distance between neighboring sheets, determined by the competition between the surface tension of the domain wall and the kinetic energy of the superflow via quantized vortices. By comparing the several length scales in this system, the phase diagram of the vortex state is obtained.
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