论文标题
特征态围绕特殊点聚类
Eigenstate clustering around exceptional points
论文作者
论文摘要
我们提出了在非省系统中特征态聚类的想法。我们表明，非正交本征可以聚集在特殊点上，并在某些模型上说明了我们的想法。我们讨论，由于非铁皮皮肤效应而导致的特征态在边缘的指数定位是本征状聚类的典型例子。我们从数值上看到，在开放界和封闭边界的系统中，可以进行本地化或扩展特征状态的聚类。我们表明，增益和损失可以增强本征状聚类。我们使用保真度和标准K-均值聚类算法进行集群本征态的系统研究。
We propose an idea of eigenstate clustering in non-Hermitian systems. We show that non-orthogonal eigenstates can be clustered around exceptional points and illustrate our idea on some models. We discuss that exponential localization of eigenstates at edges due to the non-Hermitian skin effect is a typical example of eigenstate clustering. We numerically see that clustering of localized or extended eigenstates are possible in systems with both open and closed boundaries. We show that gain and loss can enhance eigenstate clustering. We use fidelities and the standard k-means clustering algorithm for a systematic study of clustered eigenstates.
