标题： 复频指纹 显示英文标题

标题： Complex Frequency Fingerprint

摘要： 在本工作中，我们提出了一种称为复频率指纹（CFF）的新方法，用于检测受驱耗散系统中的复频率格林函数，$G(\omega\in\mathbb{C})$。通过利用CFF，我们可以测量复频率态密度（DOS）和局域态密度（LDOS），为非厄米系统的表征提供独特的见解。通过将我们的方法应用于表现出非厄米皮肤效应（NHSE）的系统，我们展示了如何使用我们的理论来检测非厄米本征值和本征态。这为在实验设置中识别NHSE的存在或缺失提供了一种独特且可靠的方法。 显示英文摘要

摘要： In this work, we present a novel method called the complex frequency fingerprint (CFF) to detect the complex frequency Green's function, $G(\omega\in\mathbb{C})$, in a driven-dissipative system. By utilizing the CFF, we can measure the complex frequency density of states (DOS) and local DOS (LDOS), providing unique insights into the characterization of non-Hermitian systems. By applying our method to systems exhibiting the non-Hermitian skin effect (NHSE), we demonstrate how to use our theory to detect both the non-Hermitian eigenvalues and eigenstates. This offers a distinctive and reliable approach to identifying the presence or absence of NHSE in experimental settings.