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The concept of non-Hermiticity has expanded the understanding of band topology leading to the emergence of counter-intuitive phenomena. One example is the non-Hermitian skin effect (NHSE), which involves the concentration of eigenstates at…

We study a continuum Hatano--Nelson model with a saturating nonlinear nonreciprocity and analyze its stationary states via the associated phase-space flow. We uncover a global scenario controlled by a subcritical Hopf bifurcation and a…

量子物理 · 物理学 2026-02-20 Heng Lin , Yunyao Qi , Gui-Lu Long

Non-Hermitian skin effect (NHSE) is a distinctive phenomenon in non-Hermitian systems, characterized by a significant accumulation of eigenstates at system boundaries. While well-understood in one dimension via non-Bloch band theory,…

介观与纳米尺度物理 · 物理学 2024-07-02 Yuncheng Xiong , Ze-Yu Xing , Haiping Hu

It is generally believed that the non-Hermitian effect (NHSE), due to its non-reciprocal nature, creates barriers for the appearance of impurity bound states. In this paper, we find that in two and higher dimensions, the presence of…

介观与纳米尺度物理 · 物理学 2026-02-09 Ao Yang , Zixi Fang , Kai Zhang , Chen Fang

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…

量子物理 · 物理学 2023-02-09 Haoshu Li , Shaolong Wan

Non-Hermitian skin effect(NHSE) describes a unique non-Hermitian phenomenon that all eigen-modes are localized near the boundary, and has profound impact on a wide range of bulk properties. In particular, topological systems with NHSE have…

量子气体 · 物理学 2022-11-29 Lihong Zhou , Haowei Li , Wei Yi , Xiaoling Cui

Non-Hermitian theory is a theoretical framework that excels at describing open systems. It offers a powerful tool in the characterization of both the intrinsic degrees of freedom (DOFs) of a system and the interactions with the external…

量子物理 · 物理学 2024-05-28 Kun Ding , Chen Fang , Guancong Ma

The excitation properties of quantum many-body systems are encoded in their response functions. These functions define an associated response Hamiltonian, which is intrinsically non-Hermitian due to the dissipative nature of retarded…

介观与纳米尺度物理 · 物理学 2025-09-24 Zhesen Yang , Zihan Wang , Juntao Huang , Zijian Zheng , Jiangping Hu

The non-Hermitian skin effect (NHSE) is a hallmark of non-Hermitian system, yet its generalized Brillouin zone (GBZ) description is restricted to periodic systems. We develop a site-resolved theory via a local scaling transformation (LST),…

介观与纳米尺度物理 · 物理学 2026-05-26 Chen-Hao Zhao , Jia-Rui Li , Yuping Tian , Wei-Jiang Gong

Due to the fundamental position of spin-orbit coupled ultracold atoms in the simulation of topological insulators, the gain/loss effects on these systems should be evaluated when considering the measurement or the coupling to the…

量子气体 · 物理学 2022-06-20 Zhi-Cong Xu , Ziyu Zhou , Enhong Cheng , Li-Jun Lang , Shi-Liang Zhu

The non-Hermitian skin effect, as a unique feature of non-Hermitian systems, will break the topological energy braiding of the Bloch bands in open boundary systems. Going beyond the Bloch band theory, we unveil the energy braiding of the…

介观与纳米尺度物理 · 物理学 2023-10-20 Yang Li , Xiang Ji , Yuanping Chen , Xiaohong Yan , Xiaosen Yang

A lossy quantum system harboring the non-Hermitian skin effect can in certain conditions exhibit anomalously high loss at the boundaries of the system compared to the bulk, a phenomenon termed the non-Hermitian edge burst. We uncover…

量子物理 · 物理学 2025-03-20 Jin Ming Koh , Wen-Tan Xue , Tommy Tai , Dax Enshan Koh , Ching Hua Lee

Non-Hermitian systems with globally reciprocal couplings -- such as the Hatano-Nelson model with stochastic imaginary gauge fields -- avoid the conventional non-Hermitian skin effect, displaying erratic bulk localization while retaining…

量子物理 · 物理学 2026-04-08 Stefano Longhi

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…

介观与纳米尺度物理 · 物理学 2021-09-08 Kyoung-Min Kim , Moon Jip Park

We study the Green's functions in non-Hermitian systems exhibiting the critical non-Hermitian skin effect (critical NHSE) using a double-chain Hatano-Nelson model with inter-chain coupling $\Delta$. For $\Delta=0$, the system decouples into…

介观与纳米尺度物理 · 物理学 2025-07-29 Yifei Yi , Zhesen Yang

Two-dimensional non-Hermitian photonic lattices with asymmetric couplings offer rich possibilities for controlling wave localization, through the emergence of the non-Hermitian skin effect at lattice corners or sides. Incorporating optical…

斑图形成与孤子 · 物理学 2026-01-27 Emmanouil T. Kokkinakis , Ioannis Komis , Konstantinos G. Makris

Non-Hermitian topological phases bear a number of exotic properties, such as the non-Hermitian skin effect and the breakdown of conventional bulk-boundary correspondence. In this paper, we introduce an unsupervised machine learning approach…

介观与纳米尺度物理 · 物理学 2021-12-16 Li-Wei Yu , Dong-Ling Deng

We show that anomalous Floquet topological insulators generate intrinsic, non-Hermitian topology on their boundary. As a consequence, removing a boundary hopping from the time-evolution operator stops the propagation of chiral edge modes,…

介观与纳米尺度物理 · 物理学 2024-09-26 Hui Liu , Ion Cosma Fulga

Non-Hermitian topology provides a research frontier for exploring topological phenomena, revealing novel topological effects and driving the development of emergent materials and platforms. Here, we explore the non-Hermitian Chern insulator…

光学 · 物理学 2024-11-13 Yi-Ling Zhang , Li-Wei Wang , Yang Liu , Zhao-Xian Chen , Jian-Hua Jiang

Non-Hermitian Hamiltonians, which describe a wide range of dissipative systems, and higher-order topological phases, which exhibit novel boundary states on corners and hinges, comprise two areas of intense current research. Here we…

介观与纳米尺度物理 · 物理学 2019-03-13 Elisabet Edvardsson , Flore K. Kunst , Emil J. Bergholtz
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