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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…

量子物理 · 物理学 2021-08-25 Federico Roccati

The usual concepts of topological physics, such as the Berry curvature, cannot be applied directly to non-Hermitian systems. We show that another object, the quantum metric, which often plays a secondary role in Hermitian systems, becomes a…

介观与纳米尺度物理 · 物理学 2021-03-17 D. D. Solnyshkov , C. Leblanc , L. Bessonart , A. Nalitov , J. Ren , Q. Liao , F. Li , G. Malpuech

Non linear dynamic behaviour of a normally excited preloaded Hertzian contact (including possible contact losses) is investigated using an experimental test rig. It consists on a double sphere plane contact loaded by the weight of a rigid…

经典物理 · 物理学 2016-08-14 Joël Perret-Liaudet , Emmanuel Rigaud

Recently, presence of hidden singularities known as exceptional points (EPs) in non-Hermitian quantum systems has opened up a tremendous interest in different domains of physics owing to their unique unconventional physical effects.…

光学 · 物理学 2016-03-08 Arnab Laha , Somnath Ghosh

Open quantum systems governed by non-Hermitian effective Hamiltonians exhibit unique phenomena, such as the non-Hermitian skin effect, where eigenstates localize at system boundaries. We investigate this effect in a Rashba nanowire coupled…

介观与纳米尺度物理 · 物理学 2026-04-14 Carlos Payá , Oliver Solow , Elsa Prada , Ramón Aguado , Karsten Flensberg

We consider the nonequilibrium quantum vibrations of a molecule clamped between two macroscopic leads in a current-carrying state at finite voltages. Our approach is based on the nonequilibrium Green function technique and the…

介观与纳米尺度物理 · 物理学 2007-05-23 D. A. Ryndyk , M. Hartung , G. Cuniberti

By adopting a methodology proposed by R.J. Adler \etl, we study the interesting analogy between the fermion-gravity and the fermion-electromagnetic interactions in the presence of the minimal Lorentz-violating (LV) fermion coefficients. The…

高能物理 - 唯象学 · 物理学 2023-01-11 Cheng Ye , Zhi Xiao

We show that similarity (or equivalent) transformations enable one to construct non-Hermitian operators with real spectrum. In this way we can also prove and generalize the results obtained by other authors by means of a gauge-like…

量子物理 · 物理学 2016-08-08 Francisco M. Fernández

We apply the recently introduced method of hermitization to study in the large $N$ limit non-hermitean random matrices that are drawn from a large class of circularly symmetric non-Gaussian probability distributions, thus extending the…

无序系统与神经网络 · 物理学 2009-10-30 J. Feinberg , A. Zee

We present four estimators of the entanglement (or interdepency) of ground-states in which the coefficients are all real nonnegative and therefore can be interpreted as probabilities of configurations. Such ground-states of hermitian and…

统计力学 · 物理学 2009-09-28 F. C. Alcaraz , V. Rittenberg , G. Sierra

Despite their apparent simplicity, coupled oscillators exhibit surprisingly complex phenomena. Two notable examples are Berry phase (a geometric or topological aspect of the oscillators' memory) and non-Hermiticity (the often…

经典物理 · 物理学 2026-03-05 J. R. Lane , C. Guria , J. Höller , T. D. Montalvo , Y. S. S. Patil , J. G. E. Harris

Eigenvalues and eigenvectors of non-Hermitian tridiagonal periodic random matrices are studied by means of the Hatano-Nelson deformation. The deformed spectrum is annular-shaped, with inner radius measured by the complex Thouless formula.…

数学物理 · 物理学 2009-09-14 L. G. Molinari , G. N. Lacagnina

A novel anti-P-pseudo-Hermitian mechanical system that integrates piezoelectric actuators and sensors with non-reciprocal coupling into mechanical beams is proposed. This configuration enables the system to exhibit programmable exceptional…

应用物理 · 物理学 2026-03-10 Yanzheng Wang , Jianlei Zhao , Qian Wu , Xiaoming Zhou , Heng Jiang , Weiqiu Chen , Mu Wang , Guoliang Huang

Non-Hermitian systems at the exceptional point (EP) degeneracy are demonstrated to be highly sensitive to environmental perturbation. Here, we propose and theoretically investigate a novel multilayered heterostructure favoring double EPs…

光学 · 物理学 2019-03-21 Jieun Yim , Han Zhao , Bikashkali Midya , Liang Feng

Non-Hermitian skin effect, namely that the eigenvalues and eigenstates of a non-Hermitian tight-binding Hamiltonian have significant differences under open or periodic boundary conditions, is a remarkable phenomenon of non-Hermitian…

介观与纳米尺度物理 · 物理学 2021-10-04 Liang Mao , Tianshu Deng , Pengfei Zhang

Solids built out of active components can exhibit non-reciprocal elastic coefficients that give rise to non-Hermitian wave phenomena. Here, we investigate non-Hermitian effects present at the boundary of two-dimensional active elastic media…

软凝聚态物质 · 物理学 2020-09-16 Colin Scheibner , William T. M. Irvine , Vincenzo Vitelli

We analyse two quantum systems with hidden parity-time (PT) symmetry: one is an optical device, whereas another is a superconducting microwave-frequency device. To investigate their symmetry, we introduce an equilibrium frame, in which loss…

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…

量子物理 · 物理学 2025-10-20 Xin Li , Mohamed Al Begaowe , Shu Zhang , Benedetta Flebus

Non-Hermitian systems in condensed matter Physics are well studied in recent years. In conventional viewpoint, the non-Hermiticity of a Hamiltonian is obtained by dissipative or gain and loss. Recently, some people investigate the…

介观与纳米尺度物理 · 物理学 2022-08-08 Shu-Xuan Wang , Shaolong Wan

Localization is a pervasive phenomenon across physics, shaping transport from electrons in solids to light and sound in engineered media. In traditional settings, disorder strongly impedes transport, resulting in dynamical localization or,…

无序系统与神经网络 · 物理学 2026-01-28 Jia-Xin Zhong , Jee Woo Kim , Stefano Longhi , Yun Jing