耦合非厄米皮肤效应与特殊点。

IF 23.4 Q1 OPTICS
Guo-Huai Wang,Ran Tao,Zhen-Nan Tian,Qi-Dai Chen,Xu-Lin Zhang
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引用次数: 0

摘要

非厄米系统表现出两个独特的特征:异常点(EPs)和非厄米集肤效应(NHSE)。EP来自于多个能级的相互作用,特征值谱的简并表现为特征值谱,而NHSE则与特征函数的局域化特征有关。由于其不同的起源和后果,这两个标志之间的相互作用引起了相当大的兴趣。在这里,我们提出了耦合NHSE的概念,即两个具有独立NHSE的非厄米系统耦合在一起。我们发现,通过引入具有特殊对称性的非厄米损失,可以出现多对EPs,极大地压缩了特征值谱,加速了耦合NHSE的击穿。相比之下,在没有EPs的系统中,耦合NHSE的衰减明显减轻。从这个意义上说,EP可以作为调整NHSE和控制非厄米动力学的自由度。所提出的概念是在具有人工规范场的光子晶格中实验实现的,这将架起这两个重要概念的桥梁,并为与它们同时相关的非厄米应用开辟了道路。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Coupled non-Hermitian skin effect with exceptional points.
Non-Hermitian systems exhibit two unique hallmarks: exceptional points (EPs) and non-Hermitian skin effect (NHSE). The EP arises from the interplay of multiple energy levels, marked by degeneracy in eigenvalue spectra, while the NHSE is associated with the localization feature of eigenfunctions. Due to their different origins and consequences, the interplay between the two hallmarks has drawn considerable interest. Here, we propose the concept of coupled NHSE, i.e., two non-Hermitian systems with independent NHSE are coupled together. We find that by introducing non-Hermitian losses with special symmetry, multiple pairs of EPs can appear, greatly compressing the eigenvalue spectrum and accelerating the breakdown of the coupled NHSE. In contrast, the attenuation of coupled NHSE is significantly alleviated in systems without EPs. In this sense, the EP can act as a degree of freedom to tune the NHSE and govern the non-Hermitian dynamics. The proposed concept is experimentally realized in photonic lattices with artificial gauge fields, which will bridge these two significant concepts and open avenues for non-Hermitian applications simultaneously associated with them.
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来源期刊
Light-Science & Applications
Light-Science & Applications 数理科学, 物理学I, 光学, 凝聚态物性 II :电子结构、电学、磁学和光学性质, 无机非金属材料, 无机非金属类光电信息与功能材料, 工程与材料, 信息科学, 光学和光电子学, 光学和光电子材料, 非线性光学与量子光学
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