Abstract

Coupled nonlinear Schrödinger equations for paraxial optics with two circular polarizations of light in a defocusing Kerr medium with anomalous dispersion coincide in form with the Gross–Pitaevskii equations for a binary Bose—Einstein condensate (BEC) of cold atoms in the phase separation regime. In this case, the helical symmetry of an optical waveguide corresponds to rotation of the transverse potential confining the BEC. The “centrifugal force” considerably affects the propagation of a light wave in such a system. Numerical experiments for a waveguide with an elliptical cross section have revealed characteristic structures consisting of quantized vortices and domain walls between two polarizations, which have not been observed earlier in optics.

中文翻译：

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旋转二元玻色的光学模拟——爱因斯坦凝聚

摘要

在具有反常色散的散焦克尔介质中，具有两个圆偏振光的近轴光学耦合非线性薛定谔方程在形式上与相分离状态下冷原子二元玻色-爱因斯坦凝聚体（BEC）的格罗斯-皮塔耶夫斯基方程一致。在这种情况下，光波导的螺旋对称性对应于限制 BEC 的横向电势的旋转。“离心力”对光波在此类系统中的传播有很大影响。具有椭圆横截面的波导的数值实验揭示了由量子化涡流和两个偏振之间的畴壁组成的特征结构，这在光学中之前尚未观察到。