伸长混合玻色-爱因斯坦凝聚体中的轴向涡效应
Effects of Axial Vorticity in Elongated Mixtures of Bose-Einstein Condensates
摘要：
本文研究了在原子间相互作用为排斥作用的玻色-爱因斯坦凝聚体中，存在于旋转和非旋转粒子之间的弯月面。在这种情况下，我们推导出一个系统的耦合一维（1D）非多项式薛定谔方程（NPSE）的两个平均场波函数。使用这些方程，我们分析了在管道中的相分离/混合与周期性的轴向边界条件，即在一个环形配置。我们发现，混合的开始，在形式的吸力，即，在涡旋分量中，由其非旋转的对应物填充空的核，关键地取决于第一分量的涡旋性和原子间相互作用的强度。
英文摘要：
We consider a meniscus between rotating and nonrotating species in the Bose-Einstein condensate (BEC) with repulsive inter-atomic interactions, confined to a pipe-shaped trap. In this setting, we derive a system of coupled one-dimensional (1D) nonpolynomial Schrodinger equations (NPSEs) for two mean-field wave functions. Using these equations, we analyze the phase separation/mixing in the pipe with periodic axial boundary conditions, i.e. in a toroidal configuration. We find that the onset of the mixing, in the form of suction, i.e., filling the empty core in the vortical component by its nonrotating counterpart, crucially depends on the vorticity of the first component, and on the strengths of the inter-atomic interactions.
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