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We characterise non-Hermitian Fabry-P\'erot resonances in high-contrast resonator systems and study the properties of their associated resonant modes from continuous differential models. We consider two non-Hermitian effects: the…

Mathematical Physics · Physics 2026-02-13 Habib Ammari , Erik Orvehed Hiltunen , Bowen Li , Ping Liu , Jiayu Qiu , Yingjie Shao , Alexander Uhlmann

Non-Hermitian skin effects are conventionally manifested as boundary localization of eigenstates in linear systems. In nonlinear settings, however, where eigenstates are no longer well defined, it becomes unclear how skin effects should be…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Shu Hamanaka

Self-propulsion is a quintessential aspect of biological systems, which can induce nonequilibrium phenomena that have no counterparts in passive systems. Motivated by biophysical interest together with recent advances in experimental…

Soft Condensed Matter · Physics 2026-02-26 Kazuki Sone , Kazuki Yokomizo , Kyogo Kawaguchi , Yuto Ashida

Non-Hermitian systems exhibit novel phenomena without Hermitian counterparts, such as exceptional points and the non-Hermitian skin effect. These non-Hermitian topological phenomena are observable in single-particle excitations of…

Strongly Correlated Electrons · Physics 2024-09-11 Robert Peters , Tsuneya Yoshida

One of the most pronounced non-Hermitian phenomena is the non-Hermitian skin effect, which refers to the exponential localization of bulk eigenstates near the boundaries of non-Hermitian systems. Whereas non-Bloch band theory has been…

Mesoscale and Nanoscale Physics · Physics 2024-11-27 Yu-Min Hu , Yin-Quan Huang , Wen-Tan Xue , Zhong Wang

Recently, topological quantum states of non-Hermitian systems, exhibiting rich new exotic states, have attracted great attention in condensed-matter physics. As for the demonstration, most of non-Hermitian topological phenomena previously…

Mesoscale and Nanoscale Physics · Physics 2019-02-15 Huaiqiang Wang , Jiawei Ruan , Haijun Zhang

The non-Hermitian skin effect is an intriguing physical phenomenon, in which all eigen-modes of a non-Hermitian lattice become localized at boundary regions. While such an exotic behavior has been demonstrated in various physical platforms,…

Applied Physics · Physics 2025-01-27 Mathieu Padlewski , Romain Fleury , Hervé Lissek

This paper shows that the skin effect in systems of non-Hermitian subwavelength resonators is robust with respect to random imperfections in the system. The subwavelength resonators are highly contrasting material inclusions that resonate…

Mathematical Physics · Physics 2023-08-14 Habib Ammari , Silvio Barandun , Bryn Davies , Erik Orvehed Hiltunen , Ping Liu

Non-Hermitian topological systems have attracted a lot of research activities in recent times, both theoretically and experimentally, due to their unique physical properties and association with open quantum systems. We show that modular…

Quantum Physics · Physics 2026-05-29 Saubhik Sarkar , Chiranjib Mukhopadhyay , Abolfazl Bayat

We investigate the roles of non-Hermitian topology in spectral properties and entanglement structures of open systems. In terms of spectral theory, we give a unified understanding of two interpretations of non-Hermitian topology: quantum…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 Nobuyuki Okuma , Masatoshi Sato

A non-Hermitian system can exhibit extensive sensitivity of its complex energy spectrum to the imposed boundary conditions, which is beyond any known phenomenon from Hermitian systems. In addition to topologically protected boundary modes,…

Other Condensed Matter · Physics 2019-05-15 Ching Hua Lee , Ronny Thomale

In contrast to Hermitian systems, eigenstates of non-Hermitian ones are in general nonorthogonal. This feature is most pronounced at exceptional points where several eigenstates are linearly dependent. In this work we show that near this…

Quantum Physics · Physics 2016-12-23 Alexander A. Zyablovsky , Evgeny S. Andrianov , Alexander A. Pukhov

The non-Hermitian skin effect (NHSE), characterized by a macroscopic accumulation of eigenstates at the edge of a system with open boundaries, is often ascribed to a non-trivial point-gap topology of the Bloch Hamiltonian. We revisit this…

Statistical Mechanics · Physics 2026-04-07 J. Sirker

We investigate a one-dimensional tight-binding lattice with asymmetrical couplings and various type of nonlinearities to study nonlinear non-Hermitian skin effect. Our focus is on the exploration of nonlinear skin modes through a…

Pattern Formation and Solitons · Physics 2025-05-15 C. Yuce

In this work, we demonstrate the presence of an anomalous non-Hermitian skin effects which decay from both ends of a system consisting of two coupled Hermitian chains induced by non-reciprocal inter-chain cross-coupling. Another intriguing…

We demonstrate that crystal defects can act as a probe of intrinsic non-Hermitian topology. In particular, in point-gapped systems with periodic boundary conditions, a pair of dislocations may induce a non-Hermitian skin effect, where an…

Mesoscale and Nanoscale Physics · Physics 2021-10-13 Frank Schindler , Abhinav Prem

Non-Hermitian topological phases, which exhibit unique features such as skin effect and exceptional points originated from nontrivial band topologies in complex plane, have attracted enormous attention in condensed-matter physics and…

Mesoscale and Nanoscale Physics · Physics 2024-07-08 Yejian Hu , Jien Wu , Peidong Ye , Weiyin Deng , Jiuyang Lu , Xueqin Huang , Ziyu Wang , Manzhu Ke , Zhengyou Liu

Understanding the extreme sensitivity of the eigenvalues of non-Hermitian Hamiltonians to the boundary conditions is of great importance when analyzing non-Hermitian systems, as it appears generically and is intimately connected to the skin…

Quantum Physics · Physics 2022-09-09 Elisabet Edvardsson , Eddy Ardonne

A unique feature of non-Hermitian (NH) systems is the NH skin effect, i.e. the edge localization of an extensive number of bulk-band eigenstates in a lattice with open or semi-infinite boundaries. Unlike extended Bloch waves in Hermitian…

Quantum Physics · Physics 2022-04-14 Stefano Longhi

Amid the growing interest in non-Hermitian quantum systems, non-interacting models have received the most attention. Here, through the stochastic series expansion quantum Monte Carlo method, we investigate non-Hermitian physics in…

Quantum Physics · Physics 2023-12-12 Shi-Xin Hu , Yongxu Fu , Yi Zhang