论文标题
在平价时间和反式时间对称波导阵列中，轻型转换超出了高阶特殊点
Light transfer transitions beyond higher-order exceptional points in parity-time and anti-parity-time symmetric waveguide arrays
论文作者
论文摘要
我们提出了两个非热数阵列，包括$ n = 2l+1 $ waveGuides和Parity time（$ \ Mathcal {pt} $）或反 - $ \ Mathcal {pt} $对称性，用于研究基于$ n $ th $ th-th-th-th-tord Extive Pointe的光动力学（EPS）。 $ \ MATHCAL {PT} $ - 对称阵列分别支撑两个$ N $ TH级EPS，分别与真实和虚构的EignValues分别分开一个不间断的阶段。该阵列中的光传递动力学表现出根本不同的行为，即在不间断的阶段的单向振荡行为，在破碎阶段中的边缘 - to齿定位行为以及仅在$ n $ th-th阶EPS处的中心 - to击定位行为。抗 - $ \ Mathcal {pt} $ - 对称阵列也支持两个$ n $ th-th-th-t阶EPS分隔一个不间断的阶段和一个损坏的阶段，但分别指的是想象中的和真实的特征值。因此，该阵列中的光传递动力学在不间断的阶段表现出中心位置的定位行为，并且在破碎相中表现出以原点为中心的振荡行为。这些非平凡的轻型传输行为及其受控过渡对于其他分裂的低阶EPS并不可行，并且取决于Spin-$ l $矩阵的基础$ SU（2）$对称性。
We propose two non-Hermitian arrays consisting of $N=2l+1$ waveguides and exhibiting parity-time ($\mathcal{PT}$) or anti-$\mathcal{PT}$ symmetry for investigating light transfer dynamics based on $N$th-order exceptional points (EPs). The $\mathcal{PT}$-symmetric array supports two $N$th-order EPs separating an unbroken and a broken phase with real and imaginary eignvalues, respectively. Light transfer dynamics in this array exhibits radically different behaviors, i.e. a unidirectional oscillation behavior in the unbroken phase, an edge-towards localization behavior in the broken phase, and a center-towards localization behavior just at $N$th-order EPs. The anti-$\mathcal{PT}$-symmetric array supports also two $N$th-order EPs separating an unbroken and a broken phase, which refer however to imaginary and real eigenvalues, respectively. Accordingly, light transfer dynamics in this array exhibits a center-towards localization behavior in the unbroken phase and an origin-centered oscillation behavior in the broken phase. These nontrivial light transfer behaviors and their controlled transitions are not viable for otherwise split lower-order EPs and depend on the underlying $SU(2)$ symmetry of spin-$l$ matrices.
