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Recently, topological quantum states of non-Hermitian systems, exhibiting rich new exotic states, have attracted great attention in condensed-matter physics. As for the demonstration, most of non-Hermitian topological phenomena previously…

介观与纳米尺度物理 · 物理学 2019-02-15 Huaiqiang Wang , Jiawei Ruan , Haijun Zhang

Non-hermiticity presents a vast newly opened territory that harbors new physics and applications such as lasing and sensing. However, only non-Hermitian systems with real eigenenergies are stable, and great efforts have been devoted in…

其他凝聚态物理 · 物理学 2022-10-25 Russell Yang , Jun Wei Tan , Tommy Tai , Jin Ming Koh , Linhu Li , Stefano Longhi , Ching Hua Lee

Utilizing scattering theory, we quantify the consequences of physical constraints that limit the visibility of non-Hermitian effects in passive devices. The constraints arise from the fundamental requirement that the system obeys causality,…

光学 · 物理学 2023-12-15 Henning Schomerus

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…

介观与纳米尺度物理 · 物理学 2025-09-22 Kohei Kawabata , Daichi Nakamura

We consider conditions for the existence of boundary modes in non-Hermitian systems with edges of arbitrary co-dimension. Through a universal formulation of formation criteria for boundary modes in terms of local Green functions, we outline…

介观与纳米尺度物理 · 物理学 2020-02-12 Dan S. Borgnia , Alex Jura Kruchkov , Robert-Jan Slager

Time reversal in quantum or classical systems described by an Hermitian Hamiltonian is a physically allowed process, which requires in principle inverting the sign of the Hamiltonian. Here we consider the problem of time reversal of a…

量子物理 · 物理学 2017-06-29 Stefano Longhi

We demonstrate that crystal defects can act as a probe of intrinsic non-Hermitian topology. In particular, in point-gapped systems with periodic boundary conditions, a pair of dislocations may induce a non-Hermitian skin effect, where an…

介观与纳米尺度物理 · 物理学 2021-10-13 Frank Schindler , Abhinav Prem

The non-Hermitian skin effect describes the concentration of an extensive number of eigenstates near the boundaries of certain dissipative systems. This phenomenon has raised a huge interest in different areas of physics, including…

光学 · 物理学 2025-04-10 Stefano Longhi

Recently, it was established that there exists a direct relation between the non-Hermitian skin effects, -strong dependence of spectra on boundary conditions for non-Hermitian Hamiltonians-, and boundary zero modes for Hermitian topological…

介观与纳米尺度物理 · 物理学 2020-07-10 Nobuyuki Okuma , Masatoshi Sato

The search of topological states in non-Hermitian systems has gained a strong momentum over the last two years climbing to the level of an emergent research front. In this Perspective we give an overview with a focus in connecting this…

介观与纳米尺度物理 · 物理学 2019-11-26 Luis E. F. Foa Torres

We establish a steady-state theory for nonlinear optical conductivity in pseudo-Hermitian systems. We derive compact formulas for the first and second order conductivity tensors in both the velocity and length gauges and prove their exact…

介观与纳米尺度物理 · 物理学 2025-10-09 S. Sajad Dabiri , Reza Asgari

Nonreciprocity can profoundly alter the spectra and dynamics of open quantum systems, yet its impact on the long-time steady-state phases of matter has remained largely unexplored. Here we show that the interplay of nonreciprocity, symmetry…

量子物理 · 物理学 2026-05-04 Ding Gu , Zhanpeng Fu , Zhong Wang

Dark states, which are incapable of absorbing and emitting light, have been widely applied in multiple disciplines of physics. However, the existence of dark states relies on certain strict constraints on the system. For instance, in the…

量子物理 · 物理学 2024-10-22 Qi Zhou

We show that the bulk-boundary correspondence for topological insulators can be modified in the presence of non-Hermiticity. We consider a one-dimensional tight-binding model with gain and loss as well as long-range hopping. The system is…

量子物理 · 物理学 2016-04-04 Tony E. Lee

Explorations of symmetry and topology have led to important breakthroughs in quantum optics, but much richer behaviors arise from the non-Hermitian nature of light-matter interactions. A high-reflectivity, non-Hermitian optical mirror can…

量子物理 · 物理学 2022-08-09 Yi-Cheng Wang , Jhih-Shih You , H. H. Jen

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…

介观与纳米尺度物理 · 物理学 2019-07-01 Flore K. Kunst , Vatsal Dwivedi

We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner by constructing an appropriate open quantum system. We focus on the quantum steady states of such…

量子物理 · 物理学 2022-02-21 Alexander McDonald , Ryo Hanai , Aashish A. Clerk

Physically, one tends to think of non-Hermitian systems in terms of gain and loss: the decay or amplification of a mode is given by the imaginary part of its energy. Here, we introduce an alternative avenue to the realm of non-Hermitian…

介观与纳米尺度物理 · 物理学 2022-08-22 S. Franca , V. Könye , F. Hassler , J. van den Brink , I. C. Fulga

Recently, it has become clear that non-hermitian phenomena can be observed not only in open quantum systems experiencing gain and loss but also in equilibrium single-particle properties of strongly correlated systems. However, the…

强关联电子 · 物理学 2020-05-20 Yoshihiro Michishita , Robert Peters

We study the mechanism for realizing non-Hermitian skin effect (NHSE) via dissipative couplings, in which the left-right couplings have equal strengths but the phases do not satisfy the complex conjugation. Previous realizations of NHSE…

量子物理 · 物理学 2024-02-06 Xinyao Huang , Yaohua Li , Guo-Feng Zhang , Yong-Chun Liu