A large number of different types of second-order non-Hermitian degeneracies called exceptional points (EPs) were found in various physical systems depending on the mechanism of coupling between eigenstates. We show that these EPs can be hybridized to form higher-order EPs, which preserve the original properties of the initial EPs before hybridization. For a demonstration, we hybridize chiral and supermode second-order EPs, where the former and the latter are the results of intra-disk and inter-disk mode coupling in an optical system comprised of two Mie-scale microdisks and one Rayleigh-scale scatterer. The high sensitivity of the resulting third-order EP against external perturbations in our feasible system is emphasized.

中文翻译：

---

不同类型异常点的混合

根据本征态之间的耦合机制，在各种物理系统中发现了大量不同类型的二阶非厄米简并称为异常点 (EP)。我们表明这些 EP 可以杂交形成更高阶的 EP，它在杂交前保留了初始 EP 的原始特性。为了演示，我们混合了手性和超模二阶 EP，其中前者和后者是由两个 Mie 级微盘和一个 Rayleigh 级散射体组成的光学系统中盘内和盘间模式耦合的结果. 强调了在我们的可行系统中产生的三阶 EP 对外部扰动的高灵敏度。