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We show that a local non-Hermitian perturbation in a Hermitian lattice system generically induces scale-free localization for the continuous-spectrum eigenstates. When the perturbation lies at a finite distance to the boundary, the…

量子物理 · 物理学 2023-10-27 Bo Li , He-Ran Wang , Fei Song , Zhong Wang

Anderson localization and non-Hermitian skin effect are two paradigmatic wave localization phenomena, resulting from wave interference and the intrinsic non-Hermitian point gap, respectively. In this study, we unveil a novel localization…

介观与纳米尺度物理 · 物理学 2024-10-25 Cui-Xian Guo , Luhong Su , Yongliang Wang , Li Li , Jinzhe Wang , Xinhui Ruan , Yanjing Du , Dongning Zheng , Shu Chen , Haiping Hu

Non-Hermitian systems show a non-Hermitian skin effect, where the bulk states are localized at a boundary of the systems with open boundary conditions. In this paper, we study dependence of the localization length of the eigenstates on a…

介观与纳米尺度物理 · 物理学 2021-10-13 Kazuki Yokomizo , Shuichi Murakami

This work develops a full framework for non-Hermitian impurity physics in a non-reciprocal lattice, with PBCs, OBCs and even their interpolations being special cases across a whole range of boundary impurity strengths. As the impurity…

介观与纳米尺度物理 · 物理学 2021-03-09 Linhu Li , Ching Hua Lee , Jiangbin Gong

Scale-free localization in non-Hermitian systems is a distinctive type of localization where the localization length of certain eigenstates, known as scale-free localized (SFL) states, scales proportionally with the system size. Unlike skin…

无序系统与神经网络 · 物理学 2025-01-28 Burcu Yılmaz , Cem Yuce , Ceyhun Bulutay

The bulk states of Hermitian systems are believed insensitive to local Hermitian impurities or perturbations except for a few impurity-induced bound states. Thus, it is important to ask whether \textit{local} non-Hermiticity can cause…

量子物理 · 物理学 2023-05-02 Cui-Xian Guo , Xueliang Wang , Haiping Hu , Shu Chen

The non-Hermitian edge burst is a phenomenon observed in non-Hermitian quantum dynamics, characterized by a significant accumulation of loss at the boundaries of a system. We present an example of the edge burst effect in a lossy lattice…

量子物理 · 物理学 2025-06-11 G. Sen , C. Yuce

We demonstrate the emergence of an entire flat band embedded in dispersive bands at the exceptional point of a PT symmetric photonic lattice. For this to occur, the gain and loss parameter effectively alters the size of the partial flat…

光学 · 物理学 2017-07-12 Hamidreza Ramezani

A novel localization phenomenon, termed erratic non-Hermitian skin localization, has been identified in disordered globally-reciprocal non-Hermitian lattices. Unlike conventional non-Hermitian skin effect and Anderson localization, it…

无序系统与神经网络 · 物理学 2025-12-01 Stefano Longhi

We show the existence of a flat band consisting of photonic zero modes in a gain and loss modulated lattice system, as a result of the underlying non-Hermitian particle-hole symmetry. This general finding explains the previous observation…

光学 · 物理学 2018-03-07 Bingkun Qi , Lingxuan Zhang , Li Ge

I show that a single embedded non-Hermitian defect in a one-dimensional topological system at certain degrees of non-Hermiticity can remove the topological mode from the edge and restore it inside the lattice at the same place where the…

量子物理 · 物理学 2022-07-26 Hamidreza Ramezani

We investigate the behavior of light-wave packets injected into non-Hermitian microcavity lattices under highly dissipative conditions. While all eigenstates of the lattice exhibit exponential decay, a specifically excited state maintains…

光学 · 物理学 2025-05-15 Xiaohan Jiang , Yuanyuan Pan , Yang Zhang , Ye Xiong

Non-Hermitian systems exhibit anomalous scaling, a striking departure from conventional bulk laws, rooted in the non-Hermitian skin effect (NHSE). Here, we experimentally uncover this scaling and demonstrate its active control in a temporal…

光学 · 物理学 2026-03-30 Shulin Wang , Jiawei He , Zhiyuan Yang , Stefano Longhi , Peng Xue

The process of dephasing during wave evolution has traditionally been viewed as an obstacle to localization, leading to diffusion even in strongly disordered Hermitian lattices. In contrast, here we demonstrate how the interplay of…

无序系统与神经网络 · 物理学 2026-01-27 Emmanouil T. Kokkinakis , Konstantinos G. Makris , Eleftherios N. Economou

Higher dimensions provide fertile ground for diverse topological phases and their associated localization phenomena, thanks to the rich geometric features of boundaries and defects. In this paper, we investigate non-Hermitian lattices with…

介观与纳米尺度物理 · 物理学 2026-03-16 Gan Liang , Linhu Li

Exploring the deep insights into localization, disorder, and wave transport in non-Hermitian systems is an emergent area of research of relevance in different areas of physics. Engineered photonic lattices, with spatial regions of optical…

光学 · 物理学 2025-04-10 Stefano Longhi

A class of one-dimensional lattice models with incommensurate complex potential $V(\theta)=2[\lambda_r cos(\theta)+i \lambda_i sin(\theta)]$ is found to exhibit localization transition at $|\lambda_r|+|\lambda_i|=1$. This transition from…

无序系统与神经网络 · 物理学 2009-10-31 Amin Jazaeri , Indubala I. Satija

We present an unifying description of a new class of localized states, appearing as large amplitude peaks nucleating over a pattern of lower amplitude. Localized states are pinned over a lattice spontaneously generated by the system itself.…

斑图形成与孤子 · 物理学 2016-08-16 Umberto Bortolozzo , Marcel G. Clerc , Claudio Falcon , Stefania Residori , René Rojas

We study a system where the two edges of a non-Hermitian lattice with asymmetric nearest-neighbor hopping are connected with two Hermitian lattices with symmetric nearest-neighbor hopping. In the absence of those Hermitian lattices, the…

无序系统与神经网络 · 物理学 2023-08-11 Ranjan Modak

We consider the role of non-triviality resulting from a non-Hermitian Hamiltonian that conserves twofold PT-symmetry assembled by interconnections between a PT-symmetric lattice and its time reversal partner. Twofold PT-symmetry in the…

介观与纳米尺度物理 · 物理学 2020-08-05 Jung-Wan Ryu , Nojoon Myoung , Sungjong Woo , Ara Go , Sang-Jun Choi , Hee Chul Park
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