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Related papers: Erratic Liouvillian Skin Localization and Subdiffu…

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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…

Disordered Systems and Neural Networks · Physics 2025-12-01 Stefano Longhi

We investigate a non-Hermitian model featuring non-reciprocal gradient hoppings. Through an in-depth analysis of the Liouvillian spectrum and dynamics, we confirm the emergence of the Liouvillian skin effect resulting from the…

Quantum Physics · Physics 2023-09-21 Zeqing Wang , Yao Lu , Yi Peng , Ran Qi , Yucheng Wang , Jianwen Jie

The non-Hermitian skin effect is the accumulation of eigenstates at the boundaries, reflecting the system's nonreciprocity. Introducing disorder leads to a competition between the skin effect and Anderson localization, giving rise to the…

Disordered Systems and Neural Networks · Physics 2025-04-08 Jinyuan Shang , Haiping Hu

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

The Liouvillian skin effect and the non-Hermitian skin effect have both been used to explain the localization of eigenmodes near system boundaries, though the former is arguably more accurate in some regimes due to its incorporation of…

Quantum Physics · Physics 2025-03-18 Po-Chen Kuo , Shen-Liang Yang , Neill Lambert , Jhen-Dong Lin , Yi-Te Huang , Franco Nori , Yueh-Nan Chen

Localization is a pervasive phenomenon across physics, shaping transport from electrons in solids to light and sound in engineered media. In traditional settings, disorder strongly impedes transport, resulting in dynamical localization or,…

Disordered Systems and Neural Networks · Physics 2026-01-28 Jia-Xin Zhong , Jee Woo Kim , Stefano Longhi , Yun Jing

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…

Disordered Systems and Neural Networks · Physics 2025-12-09 Zhao-Fan Cai , Yang Li , Yu-Ran Zhang , Xiaomin Wei , Zhongmin Yang , Tao Liu , Franco Nori

The non-Hermitian skin effect (NHSE) has emerged as a hallmark of non-Hermitian physics, with far-reaching implications for transport, topology, and sensing. While recent works have uncovered the NHSE in magnetic systems, these analyses…

Quantum Physics · Physics 2025-10-20 Xin Li , Mohamed Al Begaowe , Shu Zhang , Benedetta Flebus

Open quantum systems far from thermal equilibrium can exhibit remarkable physical phenomena including topological properties without a direct equilibrium counterpart. Along these lines, in periodically driven dissipative systems within the…

Mesoscale and Nanoscale Physics · Physics 2025-11-24 Florian Koch , Yu-Min Hu , Jan Carl Budich

Liouvillian skin effects, manifested as the localization of Liouvillian eigenstates around the boundary, are distinctive features of non-Hermitian systems and are particularly notable for their impact on system dynamics. Despite their…

Mesoscale and Nanoscale Physics · Physics 2026-02-04 Yuta Shigedomi , Tsuneya Yoshida

We investigate non-Hermitian elastic lattices characterized by non-local feedback control interactions. In one-dimensional lattices, we show that the proportional control interactions produce complex dispersion relations characterized by…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Matheus I. N. Rosa , Massimo Ruzzene

A hallmark of photonic transport in non-Hermitian lattices with asymmetric hopping is the robust unidirectional flow of light, which is responsible for important phenomena such as the non-Hermitian skin effect. Here we show that the same…

Optics · Physics 2020-12-15 Stefano Longhi

The non-Hermitian skin effect, nonreciprocity-induced anomalous localization of an extensive number of eigenstates, represents a hallmark of non-Hermitian topological systems with no analogs in Hermitian systems. Despite its significance…

Mesoscale and Nanoscale Physics · Physics 2025-09-22 Kohei Kawabata , Daichi Nakamura

We illuminate the fundamental mechanism responsible for the transition between the non-Hermitian skin effect and defect-induced localization in the bulk. We study a Hamiltonian with non-reciprocal couplings that exhibits the skin effect…

Mesoscale and Nanoscale Physics · Physics 2024-03-20 Bryn Davies , Silvio Barandun , Erik Orvehed Hiltunen , Richard V. Craster , Habib Ammari

We investigate theoretically tunable non-Hermitian skin effect in systems with gain and loss, and find that bipolar (quadripolar) non-Hermitian skin effect characterized by topological invariants in one (two)-dimensional system. We also…

Applied Physics · Physics 2024-10-29 Wen-Cheng Jiang , Hong Wu , Jian Li , Qing-Xu Li , Jia-Ji Zhu

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 lattices with non-reciprocal couplings under open boundary conditions are known to possess linear modes exponentially localized on one edge of the chain. This phenomenon, dubbed non-Hermitian skin effect, induces all input…

Pattern Formation and Solitons · Physics 2026-05-25 Bertin Many Manda , Ricardo Carretero-González , Panayotis G. Kevrekidis , Vassos Achilleos

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…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Hui Jiang , Li-Jun Lang , Chao Yang , Shi-Liang Zhu , Shu Chen

One of the unique features of non-Hermitian Hamiltonians is the non-Hermitian skin effect, namely that the eigenstates are exponentially localized at the boundary of the system. For open quantum systems, a short-time evolution can often be…

Quantum Gases · Physics 2019-11-01 Fei Song , Shunyu Yao , Zhong Wang

We study the one-dimensional non-Hermitian lattices with linearly varying nonreciprocal hopping, where the non-Hermitian skin effect (NHSE) is found to be dissolved gradually as the strength of nonreciprocity increases. The energy spectrum…

Quantum Physics · Physics 2024-03-27 Bo Hou , Han Xiao , Rong Lü , Qi-Bo Zeng
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