We study the fundamental nonlinear modes in a dual-cylinder waveguide shell, which features a self-focusing Kerr effect, coupled by a double-well connection. This double-well connection is twisted by a pitch rate and creates a spatial dependent linear mixing, which plays the role of an effective rotating double-well potential. Symmetry transition between the waveform and the power distribution of the fundamental nonlinear modes in this system can be induced both by the total power and by the rotation speed of the connection. Four types of modes — wave symmetry and power symmetry (WSPS), wave symmetry and power asymmetry (WSPA), wave asymmetry and power symmetry (WAPS) and wave asymmetry and power asymmetry (WAPA) — are found from the system. The dependence of these modes on the total power of the light field, the rotation speed and the coupling strength of the connection are systematically studied through the paper. The finding of this paper may offer potential applications in fabrication of new types of nonlinear all-optical devices.

中文翻译：

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旋转双阱连接耦合的双圆柱波导壳中的对称和非对称非线性模式

我们研究了双圆柱波导壳中的基本非线性模式，它具有自聚焦克尔效应，通过双阱连接耦合。这种双井连接被螺距率扭曲并产生空间相关的线性混合，起到有效旋转双井电位的作用。该系统中基本非线性模式的波形和功率分布之间的对称过渡可以由总功率和连接的旋转速度引起。从系统中发现了四种类型的模式——波对称和功率对称 (WSPS)、波对称和功率不对称 (WSPA)、波不对称和功率对称 (WAPS) 以及波不对称和功率不对称 (WAPA)。这些模式对光场总功率的依赖性，通过论文系统地研究了连接的转速和耦合强度。本文的发现可能为新型非线性全光器件的制造提供潜在的应用。