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The complex eigenenergies and non-orthogonal eigenstates of non-Hermitian systems exhibit unique topological phenomena that cannot appear in Hermitian systems. Representative examples are the non-Hermitian skin effect and exceptional…

量子物理 · 物理学 2025-12-19 Jung-Wan Ryu , Jae-Ho Han , Chang-Hwan Yi , Hee Chul Park , Moon Jip Park

The non-Hermitian skin effect (NHSE), characterized by the accumulation of a macroscopic number of bulk states at system boundaries, is a hallmark of non-Hermitian physics. However, effective control of skin-mode localization in…

无序系统与神经网络 · 物理学 2025-12-09 Zhao-Fan Cai , Yang Li , Yu-Ran Zhang , Xiaomin Wei , Zhongmin Yang , Tao Liu , Franco Nori

We consider conditions for the existence of boundary modes in non-Hermitian systems with edges of arbitrary co-dimension. Through a universal formulation of formation criteria for boundary modes in terms of local Green functions, we outline…

介观与纳米尺度物理 · 物理学 2020-02-12 Dan S. Borgnia , Alex Jura Kruchkov , Robert-Jan Slager

The bulk-boundary or bulk-edge correspondence is a principle relating surface confined states to the topological classification of the bulk. By combining non-Hermitian ingredients in terms of gain or loss with media that violate…

介观与纳米尺度物理 · 物理学 2020-11-18 Penglin Gao , Morten Willatzen , Johan Christensen

We discuss a generalization of the non-Hermitian skin effect to finite-size photonic structures with neither gain nor loss in the bulk and purely real energy spectrum under periodic boundary conditions (PBC). We show that such systems can…

光学 · 物理学 2023-10-09 Alexander Poddubny , Janet Zhong , Shanhui Fan

We study the breaking of reciprocity in non-Hermitian coupled photonic waveguides by the simultaneous action of the nonlinear effect of saturable absorption, and the presence of exceptional points. The nonlinear response of such a system is…

Asymmetrically directed couplings in non-Hermitian systems cause directional amplification that leads to boundary skin state accumulation. However, counter-intuitively, the direction of accumulation may not follow that of the directed…

量子物理 · 物理学 2025-09-05 Mengjie Yang , Ching Hua Lee

We study the mechanism for realizing non-Hermitian skin effect (NHSE) via dissipative couplings, in which the left-right couplings have equal strengths but the phases do not satisfy the complex conjugation. Previous realizations of NHSE…

量子物理 · 物理学 2024-02-06 Xinyao Huang , Yaohua Li , Guo-Feng Zhang , Yong-Chun Liu

Coupled-resonator optical waveguides (CROWs) are known to have interesting and useful dispersion properties. Here, we study the transport in these waveguides in the general case where each resonator is open and asymmetric, i.e., is leaky…

光学 · 物理学 2015-03-24 Henning Schomerus , Jan Wiersig

This work comprehensively investigates the non-Hermitian skin effect (NHSE) in a spinless Bernevig- Hughes-Zhang (BHZ)-like model in one dimension. It is generally believed that a system with non-reciprocal hopping amplitudes demonstrates…

介观与纳米尺度物理 · 物理学 2024-05-24 Dipendu Halder , Saurabh Basu

The non-Hermitian skin effect (NHSE) is a novel localization phenomenon, in which all bulk states in a non-Hermitian system under certain conditions are localized at the edge of the system. Conventionally, most studies of NHSE have dealt…

光学 · 物理学 2025-05-05 Issei Takeda , Taiki Yoda , Yuto Moritake , Kenta Takata , Masaya Notomi

We present a mechanism to generate unidirectional pulse-shaped propagating waves, tamed to exponential growth and dispersion, in active systems with nonreciprocal and nonlinear couplings. In particular, when all bulk modes are exponentially…

介观与纳米尺度物理 · 物理学 2026-05-25 Sayan Jana , Bertin Many Manda , Vassos Achilleos , Dimitrios J. Frantzeskakis , Lea Sirota

Non-Hermiticity from non-reciprocal hoppings has been shown recently to demonstrate the non-Hermitian skin effect (NHSE) under open boundary conditions (OBCs). Here we study the interplay of this effect and the Anderson localization in a…

介观与纳米尺度物理 · 物理学 2019-08-07 Hui Jiang , Li-Jun Lang , Chao Yang , Shi-Liang Zhu , Shu Chen

Non-Hermitian skin effect (NHSE) is a novel phenomenon appearing in non-Hermitian systems. Here, we report the experimental observation of NHSE. Different from the previous non-reciprocal circuit implementation scheme using logic…

无序系统与神经网络 · 物理学 2023-05-17 Luhong Su , Hui Jiang , Zhan Wang , Shu Chen , Dongning Zheng

The non-Hermitian skin effect (NHSE) is a novel localization phenomenon in certain non-Hermitian systems with gain and/or loss. Most of previous works study the non-Hermitian skin effect in periodic systems. However, electromagnetic waves…

The non-Hermitian skin effect is fundamentally characterized by its sensitivity to boundary conditions, reflected in changes to the energy spectrum and boundary-localized eigenstates. Here, we demonstrate that a spatially inhomogeneous…

介观与纳米尺度物理 · 物理学 2026-05-18 Zheng Wei , Ji-Yao Fan , Kui Cao , Xin-Ran Ma , Cui-Xian Guo , Xue-Ping Ren , Su-Peng Kou

Non-Hermitian systems exhibit unique boundary phenomena absent in their Hermitian counterparts, most notably the non-Hermitian skin effect (NHSE). In this work, we explore a lattice model consisting of two coupled non-reciprocal chains,…

光学 · 物理学 2025-12-12 Yixuan Li , Linhu Li , Zhihao Xu

The non-Hermitian skin effect is nonreciprocity-induced localization phenomena in which a macroscopic number of eigenstates accumulate anomalously at the boundary, accompanied by the extreme sensitivity to boundary conditions. Here, we…

介观与纳米尺度物理 · 物理学 2026-04-14 Ken-Ichiro Imura , Kohei Kawabata

This work investigates edge modes in non-Hermitian photonic crystals with broken spectral reciprocity. In such systems, the spectra of the underlying operators generally form closed loops over the complex plane with nontrivial spectral…

数学物理 · 物理学 2026-03-25 Junshan Lin , Hai Zhang

This note analytically investigates non-reciprocal wave dispersion in locally resonant acoustic metamaterials. Dispersion relations associated with space-time varying modulations of inertial and stiffness parameters of the base material and…

应用物理 · 物理学 2018-01-11 M. A. Attarzadeh , H. Al Ba'ba'a , M. Nouh