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Exceptional points (EPs) are special spectral degeneracies of non-Hermitian operators: at the EP, the complex eigenvalues coalesce, i.e., they become degenerate in both their real and imaginary parts. In two-dimensional (2D) photonic…

Optics · Physics 2025-06-17 Luigi Frau , Simone Zanotti , Lydie Ferrier , Dario Gerace , Hai Son Nguyen

Exceptional points (EPs) are special parameter values of a non-Hermitian eigenvalue problem where eigenfunctions corresponding to a multiple eigenvalue coalesce. In optics, EPs are associated with a number of counter-intuitive wave…

Optics · Physics 2019-10-08 Amgad Abdrabou , Ya Yan Lu

In photonics, most systems are non-Hermitian due to radiation into open space and material losses. At the same time, non-Hermitianity defines a new physics, in particular, it gives rise to a new class of degenerations called exceptional…

Optics · Physics 2023-08-09 Nikolay Solodovchenko , Kirill Samusev , Mikhail Limonov

Recently, a local and imperfect chirality of the resonant eigenmode at the exceptional point (EP) has been reported in the optical whispering gallery microcavity system perturbed by two strong nanoscatterers [Phys. Rev. A 108, L041501…

Optics · Physics 2025-07-28 Junda Zhu , Haitao Liu , Fang Bo , Can Tao , Guoquan Zhang , Jingjun Xu

Non-Hermitian Hamiltonians describing open systems can feature singularities called exceptional points (EPs). Resonant frequencies become strongly dependent on externally applied perturbations near an EP which has given rise to the concept…

Instrumentation and Detectors · Physics 2020-04-02 Heming Wang , Yu-Hung Lai , Zhiquan Yuan , Myoung-Gyun Suh , Kerry Vahala

Cloaking has important applications but entails sophisticated control of signal propagation and scattering characteristics. Here, we show that invisibility for magnon signals is achievable in a non-reciprocal and electrically controlled way…

Mesoscale and Nanoscale Physics · Physics 2024-10-11 Dominik Schulz , Jamal Berakdar , Xi-guang Wang

Exceptional points (EPs) in non-Hermitian systems offer a remarkably strong response to weak perturbations, but the nonorthogonal nature of the corresponding eigenvectors causes noise to diverge, hindering EPs practical application. Here,…

Periodic structures resonantly coupled to excitonic media allow the existence of extra intragap modes ('Braggoritons'), due to the coupling between Bragg photon modes and 3D bulk excitons. This induces unique and unexplored dispersive…

Other Condensed Matter · Physics 2015-05-05 Fabio Biancalana , Leonidas Mouchliadis , Celestino Creatore , Simon Osborne , Wolfgang Langbein

A special kind of degeneracies known as the exceptional points (EPs), for resonant states on a dielectric periodic slab, are investigated. Due to their unique properties, EPs have found important applications in lasing, sensing,…

Optics · Physics 2018-06-20 Amgad Abdrabou , Ya Yan Lu

We propose an efficient optomechanical mass sensor operating at exceptional points (EPs), non-hermitian degeneracies where eigenvalues of a system and their corresponding eigenvectors simultaneously coalesce. The benchmark system consists…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 P. Djorwé , Y. Pennec , B. Djafari-Rouhani

We report two types of singularities that arise from fluctuations during the formation of charge- or spin-density waves. The first is the exceptional point (EP), corresponding to a higher-order pole of the retarded Green's function. Such…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Zixi Fang , Chen Fang

Degeneracy (exceptional) points embedded in energy band are distinct by their topological features. We report different hybrid two-state coalescences (EP2s) formed through merging two EP2s with opposite chiralities that created from the…

Mesoscale and Nanoscale Physics · Physics 2020-01-28 L. Jin , H. C. Wu , Bo-Bo Wei , Z. Song

In a non-Hermitian optical system with loss and gain, an exceptional point (EP) will arise under specific parameters where the eigenvalues and eigenstates exhibit simultaneous coalescence. Here we report a dynamical switching of lasing…

Optics · Physics 2019-12-30 Yicong Zhang , Weiwei Liu , Qingjie Liu , Bing Wang , Peixiang Lu

Exceptional bound (EB) states represent an unique new class of robust bound states protected by the defectiveness of non-Hermitian exceptional points. Conceptually distinct from the more well-known topological states and non-Hermitian skin…

Quantum Physics · Physics 2024-07-02 Deyuan Zou , Tian Chen , Haiyu Meng , Yee Sin Ang , Xiangdong Zhang , Ching Hua Lee

We show that exceptional points (EPs) and non-Hermitian behavior can emerge dynamically in impurity models with Hermitian microscopic origins. Using perturbative renormalization group (RG) analysis, Fock-space diagonalization, and spin-spin…

Strongly Correlated Electrons · Physics 2025-08-20 Vinayak M. Kulkarni , N. S. Vidhyadhiraja

As a most important feature of non-Hermitian systems, exceptional points (EPs) lead to a variety of unconventional phenomena and applications. Here, we study a generic model composed of two coupled non-Hermitian qubits, the EPs can be…

Quantum Physics · Physics 2025-02-12 Zigeng Li , Xinyao Huang , Hongyan Zhu , Guofeng Zhang , Fan Wang , Xiaolan Zhong

The amplitude of resonant oscillations in a non-Hermitian environment can either decay or grow in time, corresponding to a mode with either loss or gain. When two coupled modes have a specific difference between their loss or gain, a…

Classical Physics · Physics 2025-11-07 N. J. Lambert , A. Schumer , J. J. Longdell , S. Rotter , H. G. L. Schwefel

Elastic scattering of laser radiation due to vacuum polarization by spatially modulated strong electromagnetic fields is considered. The Bragg interference arising at a specific impinging direction of the probe wave concentrates the…

Quantum Physics · Physics 2015-05-27 Gagik Yu. Kryuchkyan , Karen Z. Hatsagortsyan

Standard exceptional points (EPs) are non-Hermitian degeneracies that occur in open systems. At an EP, the Taylor series expansion becomes singular and fails to converge -- a feature that was exploited for several applications. Here, we…

Applied Physics · Physics 2021-03-25 M. Sakhdari , M. Hajizadegan , Q. Zhong , D. N. Christodoulides , R. El-Ganainy , P. -Y. Chen

Exceptional points (EPs), non-Hermitian degeneracies where both eigenvalues and eigenvectors coalesce, play a central role in the topology of non-Hermitian spectra. Recent advances have enabled the controlled creation and manipulation of…

Mesoscale and Nanoscale Physics · Physics 2026-05-01 Jung-Wan Ryu , Chang-Hwan Yi
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