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Related papers: Skin modes in a nonlinear Hatano-Nelson model

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We study the time evolution processes of non-Hermitian systems under the open boundary condition and confirm that the dynamical skin effect exists in non-Hermitian systems analytically, and unveil the mechanism of its formation, which is…

Quantum Physics · Physics 2023-02-09 Haoshu Li , Shaolong Wan

The non-Hermitian skin effect, i.e. eigenstate condensation at the edges in lattices with open boundaries, is an exotic manifestation of non-Hermitian systems. In Bloch theory, an effective non-Hermitian Hamiltonian is generally used to…

Quantum Physics · Physics 2020-12-15 Stefano Longhi

Non-Hermitian systems can exhibit extraordinary boundary behaviors, known as the non-Hermitian skin effects, where all the eigenstates are localized exponentially at one side of lattice model. To give a full understanding and control of…

Quantum Physics · Physics 2023-05-02 Xintong Zhang , Xiaoxiao Song , Shubo Zhang , Tengfei Zhang , Yuanjie Liao , Xinyi Cai , Jing Li

Non-Hermitian skin effect (NHSE) describes the exponential localization of all eigenstates toward boundaries in non-Hermitian systems, and has attracted intense research interest of late. Here we theoretically propose a scheme in which the…

Quantum Physics · Physics 2022-12-29 Ziguang Lin , Yiheng Lin , Wei Yi

We demonstrate that wave amplification enables even weak nonlinearities to reshape linear wave-packet transport in nonreciprocal systems. We study the dynamics of bulk Gaussian wave packets in the Hatano--Nelson model with onsite cubic…

Disordered Systems and Neural Networks · Physics 2026-04-03 Bertin Many Manda , Vassos Achilleos

Single-mode operation is a desirable but elusive property for lasers operating at high pump powers. Typically, single-mode lasing is attainable close to threshold, but increasing the pump power gives rise to multiple lasing peaks due to…

Optics · Physics 2022-08-02 B. F. Zhu , Q. Wang , D. Leykam , H. R. Xue , Q. J. Wang , Y. D. Chong

The synergy between non-Hermitian concepts and topological ideas have led to very fruitful activity in the recent years. Their interplay has resulted in a wide variety of new non-Hermitian topological phenomena being discovered. In this…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Ayan Banerjee , Ronika Sarkar , Soumi Dey , Awadhesh Narayan

Non-linear effects and non-Hermitian phenomena unveil additional intricate facets in topological matter physics. They can naturally intertwine to enable advanced functionalities in topoelectrical circuits and photonic structures. Here, we…

Optics · Physics 2024-06-27 Vlad Simonian , Daria A. Smirnova , Maxim A. Gorlach

We propose a method to address the existence of topological edge modes in one-dimensional (1D) nonlinearlattices, by deforming the edge modes of linearized models into solutions of the fully nonlinear system. Forlarge enough nonlinearites,…

Pattern Formation and Solitons · Physics 2022-01-17 Lucien Jezequel , Pierre Delplace

We numerically determine the robustness of the lasing edge modes in a spin-torque oscillator array that realizes the non-Hermitian Su-Schrieffer-Heeger model. Previous studies found that the linearized dynamics can enter a topological…

Mesoscale and Nanoscale Physics · Physics 2022-10-04 Pieter M. Gunnink , Benedetta Flebus , Hilary M. Hurst , Rembert A. Duine

Non-Hermitian skin effect and photonic topological edge states are of great interest in non-Hermitian physics and optics. However, the interplay between them is largly unexplored. Here, we propose and demonstrate experimentally the…

Mesoscale and Nanoscale Physics · Physics 2023-06-07 Yeyang Sun , Xiangrui Hou , Tuo Wan , Fangyu Wang , Shiyao Zhu , Zhichao Ruan , Zhaoju Yang

Nonreciprocity breaks the symmetry between forward and backward propagation, giving rise to a range of peculiar wave phenomena. In this work, we investigate Anderson localization in higher-dimensional nonreciprocal lattices. Focusing on the…

Disordered Systems and Neural Networks · Physics 2025-07-22 Jinyuan Shang , Haiping Hu

Anderson (localization) transition is a universal wave phenomenon characterized by a disorder-induced quantum phase transition from extended to localized states, whereas the non-Hermitian skin effect is a generic feature of non-Hermitian…

Disordered Systems and Neural Networks · Physics 2026-03-31 C. Wang , X. R. Wang , Hechen Ren

The non-Hermitian skin effect (NHSE) is a distinctive topological phenomenon observed in nonHermitian systems. Recently, there has been considerable interest in exploring higher-order NHSE occurrences in two and three dimensions. In such…

It has recently been shown that the non-Hermitian skin effect can be suppressed by magnetic fields. In this work, using a two-dimensional tight-binding lattice, we demonstrate that a pseudomagnetic field can also lead to the suppression of…

Mesoscale and Nanoscale Physics · Physics 2024-06-18 Hau Tian Teo , Subhaskar Mandal , Yang Long , Haoran Xue , Baile Zhang

We study non-hermitian many-body physics in the interacting Hatano-Nelson model with open boundary condition. The violation of reciprocity, resulting from an imaginary vector potential, induces the non-hermitian skin-effect and causes…

Strongly Correlated Electrons · Physics 2023-01-04 B. Dóra , C. P. Moca

Topological phases of Hermitian systems are known to exhibit intriguing properties such as the presence of robust boundary states and the famed bulk-boundary correspondence. These features can change drastically for their non-Hermitian…

Mesoscale and Nanoscale Physics · Physics 2019-07-01 Flore K. Kunst , Vatsal Dwivedi

Non-Hermitian systems generally host complex spectra that bring unique spectral topologies, leading to the spectral braiding and non-Hermitian skin effect. The experimental exploration of non-Hermitian physics is mainly concentrated in…

Quantum Physics · Physics 2026-03-27 Xiangru Chen , Jien Wu , Xingyu Chen , Zhenhang Pu , Yejian Hu , Jiuyang Lu , Manzhu Ke , Weiyin Deng , Zhengyou Liu

Non-Hermitian skin effect exhibits the collapse of the extended bulk modes into the extensive number of localized boundary states in open boundary conditions. Here we demonstrate the disorder-driven phase transition of the trivial…

Mesoscale and Nanoscale Physics · Physics 2021-09-08 Kyoung-Min Kim , Moon Jip Park

Useful in the enhancement of light-matter interaction, localization of light is at the heart of photonics studies. Different approaches have been proposed to localize light, including those based on dynamical localization, topological…

Optics · Physics 2023-07-26 Weiwei Zhu , Jiangbin Gong