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Related papers: Modular non-Hermitian topology and its application…

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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…

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

Certain non-Hermitian systems exhibit the skin effect, whereby the wavefunctions become exponentially localized at one edge of the system. Such exponential amplification of wavefunction has received significant attention due to its…

Quantum Physics · Physics 2024-03-26 Haowei Xu , Uroš Delić , Guoqing Wang , Changhao Li , Paola Cappellaro , Ju Li

The non-Hermitian skin effects are representative phenomena intrinsic to non-Hermitian systems: the energy spectra and eigenstates under the open boundary condition (OBC) drastically differ from those under the periodic boundary condition…

Mesoscale and Nanoscale Physics · Physics 2024-05-30 Yusuke O. Nakai , Nobuyuki Okuma , Daichi Nakamura , Kenji Shimomura , Masatoshi Sato

Non-Hermitian skin effect, which is a unique feature of non-Hermitian systems, exhibits the formation of an extensive number of boundary modes under open boundary conditions. However, its manifestation in higher dimensions remains elusive.…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Dipendu Halder , Srijata Lahiri , Saurabh Basu

Non-Bloch topological invariants preserve the bulk-boundary correspondence in non-Hermitian topological systems, and are a key concept in the contemporary study of non-Hermitian topology. Here we report the dynamic detection of non-Bloch…

Mesoscale and Nanoscale Physics · Physics 2022-01-04 Kunkun Wang , Tianyu Li , Lei Xiao , Yiwen Han , Wei Yi , Peng Xue

Non-Hermitian systems hosting exceptional points (EPs) exhibit signal enhancement and unconventional mode dynamics. Going beyond isolated EPs, here we report on the existence of exceptional rings (ERs) in planar optical resonators with…

The behavior of higher-order boundary states in non-Hermitian systems is elusive and thereby finding the mechanism behind these states is both essential and significant. Here, we uncover a novel mechanism that induces anomalous higher-order…

Mesoscale and Nanoscale Physics · Physics 2025-09-24 Hui-Qiang Liang , Zuxuan Ou , Linhu Li , Guo-Fu Xu

We establish a novel mechanism for topological transitions in non-Hermitian systems that are controlled by the system size. Based on a new paradigm known as exceptional-bound (EB) band engineering, its mechanism hinges on the unique…

Other Condensed Matter · Physics 2026-03-10 Mengjie Yang , Ching Hua Lee

We identify quantum geometric bounds for observables in non-Hermitian systems. We find unique bounds on non-Hermitian quantum geometric tensors, generalized two-point response correlators, conductivity tensors, and optical weights. We…

Quantum Physics · Physics 2025-12-30 Milosz Matraszek , Wojciech J. Jankowski , Jan Behrends

Non-Hermitian topological phases exhibit a number of exotic features that have no Hermitian counterparts, including the skin effect and breakdown of the conventional bulk-boundary correspondence. Here, we implement the non-Hermitian…

Synchronization of coupled nonlinear oscillators is a prevalent phenomenon in natural systems and can play important roles in various fields of modern science, such as laser arrays and electric networks. However, achieving robust global…

Pattern Formation and Solitons · Physics 2025-01-27 Weixuan Zhang , Fengxiao Di , Xiangdong Zhang

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

Non-Hermitian (NH) lattice Hamiltonians display a unique kind of energy gap and extreme sensitivity to boundary conditions. Due to the NH skin effect, the separation between edge and bulk states is blurred and the (conventional)…

Quantum Physics · Physics 2023-10-25 Matteo Brunelli , Clara C. Wanjura , Andreas Nunnenkamp

The discovery of topological phases has ushered in a new era of condensed matter physics and revealed a variety of natural and artificial materials. They obey the bulk-boundary correspondence (BBC), which guarantees the emergence of…

Other Condensed Matter · Physics 2026-03-06 Yu-Peng Ma , Ming-Jian Gao , Jun-Hong An

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-Hermiticity greatly expands existing physical laws beyond the Hermitian framework, revealing various novel phenomena with unique properties. Up to now, most exotic nonHermitian effects, such as exceptional points and non-Hermitian skin…

Mesoscale and Nanoscale Physics · Physics 2021-09-20 Weixuan Zhang , Fengxiao Di , Hao Yuan , Haiteng Wang , Xingen Zheng , Lu He1 , Houjun Sun , Xiangdong Zhang

Topological phases in quantum and classical systems have been of significant recent interest due to their fascinating physical properties. While a range of different mechanisms to induce topological order have been introduced, a quest for…

Materials Science · Physics 2019-08-07 Mengyao Li , Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

The quantum metric, a geometric measure of state-space distance, has recently attracted growing attention for capturing anomalous state responses to parameter variations. Especially in non-Hermitian systems, the quantum metric has been…

Quantum Physics · Physics 2026-03-31 Teng Liu , Xiaohang Zhang , Jiawei Zhang , Le Luo

A prominent feature of some one-dimensional non-Hermitian systems is that all right-eigenstates of the non-Hermitian Hamiltonian are localized in one end of the chain. The topological and trivial phases are distinguished by the emergence of…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 Motohiko Ezawa

The non-Hermitian formalism is used at present in many papers for the description of open quantum systems. A special language developed in this field of physics which makes it difficult for many physicists to follow and to understand the…

Quantum Physics · Physics 2018-12-11 Hichem Eleuch , Ingrid Rotter
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