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Arbitrary order exceptional point induced by photonic spin–orbit interaction in coupled resonators

机译:耦合谐振器中光子自旋-轨道相互作用引起的任意阶例外点

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摘要

Many novel properties of non-Hermitian systems are found at or near the exceptional points—branch points of complex energy surfaces at which eigenvalues and eigenvectors coalesce. In particular, higher-order exceptional points can result in optical structures that are ultrasensitive to external perturbations. Here we show that an arbitrary order exceptional point can be achieved in a simple system consisting of identical resonators placed near a waveguide. Unidirectional coupling between any two chiral dipolar states of the resonators mediated by the waveguide mode leads to the exceptional point, which is protected by the transverse spin–momentum locking of the guided wave and is independent of the positions of the resonators. Various analytic response functions of the resonators at the exceptional points are experimentally manifested in the microwave regime. The enhancement of sensitivity to external perturbations near the exceptional point is also numerically and analytically demonstrated.
机译:非厄米系统的许多新颖性质都在异常点或异常点附近发现,异常点是特征值和特征向量合并的复杂能量表面的分支点。特别是,高阶异常点可能会导致对外部扰动超敏感的光学结构。在这里,我们表明,在一个由放置在波导附近的相同谐振器组成的简单系统中,可以实现任意阶的例外点。波导模式介导的谐振器的任何两个手性偶极状态之间的单向耦合会导致一个例外点,该例外点受到导波的横向自旋动量锁定的保护,并且与谐振器的位置无关。在微波状态下,实验证明了谐振器在特殊点的各种分析响应函数。在数值上和分析上也证明了对异常点附近的外部扰动敏感度的提高。

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