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In this paper, we present a concrete example that highlights how predictions in non-Hermitian quantum mechanics can be inaccurately influenced by the absence of environment-induced fluctuations in the model. Specifically, we investigate the…

Quantum Physics · Physics 2024-08-27 Clement Ehrhardt , Jonas Larson

The non-Hermitian skin effect (NHSE), an anomalous localization behavior of the bulk states, is an inherently non-Hermitian phenomenon, which can not find a counterpart in Hermitian systems. However, the fragility of NHSE has been revealed…

Quantum Physics · Physics 2024-07-30 Shuai Li , Min Liu , Yue Zhang , Rui Tian , Maksims Arzamasovs , Bo Liu

The Hatano-Nelson model is a cornerstone of non-Hermitian physics, describing asymmetric hopping dynamics on a one-dimensional lattice, which gives rise to fascinating phenomena such as directional transport, non-Hermitian topology, and the…

Pattern Formation and Solitons · Physics 2025-12-01 Stefano Longhi

The static and dynamical properties of a one-dimensional quantum system described by a non-Hermitian Hamiltonian of the so-called Hatano-Nelson type; a tight-binding model with asymmetric (or non-reciprocal) hopping, are studied. The static…

Quantum Physics · Physics 2023-06-21 Takahiro Orito , Ken-Ichiro Imura

In non-Hermitian systems, the phenomenon that the bulk-band eigenstates are accumulated at the boundaries of the systems under open boundary conditions is called non-Hermitian skin effect (NHSE), which is one of the most iconic and…

Quantum Physics · Physics 2022-10-06 Yi Peng , Jianwen Jie , Dapeng Yu , Yucheng Wang

Non-Hermitian effects have emerged as a new paradigm for the manipulation of phases of matter that profoundly changes our understanding of non-equilibrium systems, introducing novel concepts such as exceptional points and spectral topology,…

Quantum Physics · Physics 2023-12-14 Zhen Li , Li-Wei Wang , Xulong Wang , Zhi-Kang Lin , Guancong Ma , Jian-Hua Jiang

Non-Hermitian skin effect (NHSE) is a novel phenomenon appearing in non-Hermitian systems. Here, we report the experimental observation of NHSE. Different from the previous non-reciprocal circuit implementation scheme using logic…

Disordered Systems and Neural Networks · Physics 2023-05-17 Luhong Su , Hui Jiang , Zhan Wang , Shu Chen , Dongning Zheng

This work comprehensively investigates the non-Hermitian skin effect (NHSE) in a spinless Bernevig- Hughes-Zhang (BHZ)-like model in one dimension. It is generally believed that a system with non-reciprocal hopping amplitudes demonstrates…

Mesoscale and Nanoscale Physics · Physics 2024-05-24 Dipendu Halder , Saurabh Basu

Unlike their Hermitian counterparts, non-Hermitian (NH) systems may display an exponential sensitivity to boundary conditions and an extensive number of edge-localized states in systems with open boundaries, a phenomena dubbed the…

Disordered Systems and Neural Networks · Physics 2021-04-14 Jahan Claes , Taylor L. Hughes

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

The non-Hermitian skin effect (NHSE) refers to that an extensive number of eigenstates of a non-Hermitian system are localized in open boundaries. Here we predict a universal phenomenon that with local particle-hole(-like) symmetry (PHS)…

Mesoscale and Nanoscale Physics · Physics 2023-08-31 Zhi-Yuan Wang , Jian-Song Hong , Xiong-Jun Liu

The non-Hermitian paradigm of quantum systems displays salient features drastically different from Hermitian counterparts. In this work, we focus on one such aspect, the difference of evolving quantum ensembles under $H_{\mathrm{nh}}$…

Quantum Physics · Physics 2025-10-03 Soumik Bandyopadhyay , Philipp Hauke , Sudipto Singha Roy

We demonstrate that quantum fluctuations can cause, under certain conditions, the dynamical instability of pure states that can result in their evolution into mixed states. It is shown that the degree and type of such an instability are…

Quantum Physics · Physics 2015-11-19 Konstantin G. Zloshchastiev

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

The discovery of non-Hermitian skin effect (NHSE) has opened an exciting direction for unveiling unusual physics and phenomena in non-Hermitian system. Despite notable theoretical breakthroughs, actual observation of NHSE's whole…

Materials Science · Physics 2022-12-13 Zhongming Gu , He Gao , Haoran Xue , Jensen Li , Zhongqing Su , Jie Zhu

The non-Hermitian skin effect (NHSE) is a fascinating phenomenon in nonequilibrium systems where eigenstates massively localize at the systems' boundaries, pumping (quasi-)particles loaded in these systems unidirectionally to the…

Quantum Physics · Physics 2025-02-11 Yi Qin , Ching Hua Lee , Linhu Li

The Hatano-Nelson and the non-Hermitian Su-Schrieffer-Heeger model are paradigmatic examples of non-Hermitian systems that host non-trivial boundary phenomena. In this work, we use recently developed graph-theoretical tools to design…

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

The non-Hermitian skin effect (NHSE), featured by the collapse of bulk-band eigenstates into the localized boundary modes of the systems, is one of most striking properties in the fields of non-Hermitian physics. Unique physical phenomena…

Quantum Gases · Physics 2025-01-16 Zhao-Fan Cai , Tao Liu , Zhongmin Yang

A striking feature of non-Hermitian tight-binding Hamiltonians is the high sensitivity of both spectrum and eigenstates to boundary conditions. Indeed, if the spectrum under periodic boundary conditions is point gapped, by opening the…

Quantum Physics · Physics 2021-08-25 Federico Roccati
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