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Open quantum systems provide a plethora of exotic topological phases of matter that has no Hermitian counterpart. Non-Hermitian skin effect, macroscopic collapse of bulk states to the boundary, has been extensively studied in various…

Strongly Correlated Electrons · Physics 2023-09-15 Beom Hyun Kim , Jae-Ho Han , Moon Jip Park

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…

Quantum Gases · Physics 2022-11-29 Lihong Zhou , Haowei Li , Wei Yi , Xiaoling Cui

The non-Hermitian skin effect is nonreciprocity-induced localization phenomena in which a macroscopic number of eigenstates accumulate anomalously at the boundary, accompanied by the extreme sensitivity to boundary conditions. Here, we…

Mesoscale and Nanoscale Physics · Physics 2026-04-14 Ken-Ichiro Imura , Kohei Kawabata

Non-Hermitian physics has unveiled a realm of exotic phenomena absent in Hermitian systems, with the non-Hermitian skin effect (NHSE) showcasing boundary-localized eigenstates driven by non-reciprocal interactions. Here, we introduce a new…

Quantum Physics · Physics 2025-10-10 Wenwen Liu , Junyao Wu , Li Zhang , Oubo You , Ye Tian , Hongsheng Chen , Bumki Min , Yihao Yang , Shuang Zhang

The bulk-boundary correspondence predicts the existence of boundary modes localized at the edges of topologically nontrivial systems. The wavefunctions of hermitian boundary modes can be obtained as the eigenmodes of a modified Jackiw-Rebbi…

High Energy Physics - Theory · Physics 2026-02-16 Pasquale Marra , Angela Nigro

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,…

Mesoscale and Nanoscale Physics · Physics 2024-07-02 Yuncheng Xiong , Ze-Yu Xing , Haiping Hu

We study the skin effect in a one-dimensional system of finitely many subwavelength resonators with a non-Hermitian imaginary gauge potential. Using Toeplitz matrix theory, we prove the condensation of bulk eigenmodes at one of the edges of…

Analysis of PDEs · Mathematics 2023-06-28 Habib Ammari , Silvio Barandun , Jinghao Cao , Bryn Davies , Erik Orvehed Hiltunen

The balance of gain and loss in an open system may maintain certain Hermitian dynamical behaviors, which can be hardly observed in a popular Hermitian system. In this paper, we systematically study a 1D PT -symmetry non-Hermitian SSH model…

Quantum Physics · Physics 2018-08-24 K. L. Zhang , P. Wang , G. Zhang , Z. Song

The past decades have witnessed the flourishing of non-Hermitian physics in non-conservative systems, leading to unprecedented phenomena of unidirectional invisibility, enhanced sensitivity and more recently the novel topological features…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Xiujuan Zhang , Tian Zhang , Ming-Hui Lu , Yan-Feng Chen

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

The breakdown of the bulk-boundary correspondence in non-Hermitian (NH) topological systems is an open, controversial issue. In this paper, to resolve this issue, we ask the following question: Can a (global) topological invariant…

Mesoscale and Nanoscale Physics · Physics 2020-12-30 Xiao-Ran Wang , Cui-Xian Guo , Su-Peng Kou

A unique phenomenon in non-Hermitian systems is the non-Hermitian skin effect (NHSE), namely the boundary localization of continuous-spectrum eigenstates. However, studies on the NHSE in systems without translational invariance are still…

Quantum Physics · Physics 2025-03-04 Heng Lin , Jinghui Pi , Yunyao Qi , Wei Qin , Franco Nori , Gui-Lu Long

This paper investigates wave-packet dynamics in non-Hermitian lattice systems and reveals a surprising phenomenon: The simultaneous propagation of two distinct wavefronts, one traveling at the non-Hermitian velocity and the other at the…

Quantum Physics · Physics 2025-12-23 Alon Beck , Moshe Goldstein

We discuss how introducing an equilibrium frame, in which a given Hamiltonian has balanced loss and gain terms, can reveal PT symmetry hidden in non-Hermitian Hamiltonians of dissipative systems. Passive PT-symmetric Hamiltonians, in which…

Quantum Physics · Physics 2021-08-16 Grzegorz Chimczak , Anna Kowalewska-Kudłaszyk , Ewelina Lange , Karol Bartkiewicz

The high sensitivity of the spectrum and wavefunctions to boundary conditions, termed the non-Hermitian skin effect, represents a fundamental aspect of non-Hermitian systems. While it endows non-Hermitian systems with unprecedented physical…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Nan Cheng , Chang Shu , Kai Zhang , Xiaoming Mao , Kai Sun

We analyze a correlated system in equilibrium with special emphasis on non-Hermitian topology inducing a skin effect. The pseudo-spectrum, computed by the real-space dynamical mean-field theory, elucidates that additional pseudo-eigenstates…

Strongly Correlated Electrons · Physics 2021-03-31 Tsuneya Yoshida

We investigate the twisted topology of the complex eigenspectrum of a one-dimensional non-Hermitian system under the influence of long-range unidirectional coupling. Unlike the complex energy spectrum of the conventional Hatano-Nelson…

Mesoscale and Nanoscale Physics · Physics 2023-12-21 S. M. Rafi-Ul-Islam , Zhuo Bin Siu , Haydar Sahin , Md. Saddam Hossain Razo , Mansoor B. A. Jalil

Eigenstates exhibit localization at an open edge in a non-Hermitian lattice due to non-Hermitian skin effect. We here explore another interesting feature of non-Hermitian skin effect and predict quasi-stationary solutions, which are…

Quantum Physics · Physics 2021-06-24 C. Yuce

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

For decades, Hermiticity was considered an immutable axiom of quantum mechanics, essential for ensuring real energies and unitary evolution. This perspective has shifted radically, driven by the realization that non-Hermitian Hamiltonians…

Quantum Physics · Physics 2026-03-17 Federico Roccati , Federico Balducci
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