论文标题
特殊点与生物点点之间的距离及其对非铁系统响应强度的影响
Distance between exceptional points and diabolic points and its implication for the response strength of non-Hermitian systems
论文作者
论文摘要
在开放量子系统和波浪系统中，非高铁的脱生酸是特殊点，不仅在征素苯甲酸和相应的本征菌相结合的情况下。这与从保守的系统（所谓的可分化点）中知道的变性形成了鲜明的对比，该点只有特征力均变性。在这里，我们通过将矩阵空间中给定特殊点的距离的概念引入一组分类点来连接这两种变性。我们证明，这种距离确定了具有此特殊点的非铁族系统的响应强度的上限。因此，较小的距离意味着光谱对扰动的反应较弱，强度对激发的反应较弱。这一发现对依赖于破坏点的特殊点的物理实现产生了深远的影响。此外，我们利用这一概念来分析被动系统中光谱响应强度的局限性。研究了许多光学和光子系统，以说明该理论。
Exceptional points are non-Hermitian degeneracies in open quantum and wave systems at which not only eigenenergies but also the corresponding eigenstates coalesce. This is in strong contrast to degeneracies known from conservative systems, so-called diabolic points, at which only eigenenergies degenerate. Here we connect these two kinds of degeneracies by introducing the concept of the distance of a given exceptional point in matrix space to the set of diabolic points. We prove that this distance determines an upper bound for the response strength of a non-Hermitian system with this exceptional point. A small distance therefore implies a weak spectral response to perturbations and a weak intensity response to excitations. This finding has profound consequences for physical realizations of exceptional points that rely on perturbing a diabolic point. Moreover, we exploit this concept to analyze the limitations of the spectral response strength in passive systems. A number of optical and photonics systems are investigated to illustrate the theory.
