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Exceptional points (EPs), at which both eigenvalues and eigenvectors coalesce, are ubiquitous and unique features of non-Hermitian systems. Second-order EPs are by far the most studied due to their abundance, requiring only the tuning of…

光学 · 物理学 2023-01-02 Ipsita Mandal , Emil J. Bergholtz

In multistate non-Hermitian systems, higher-order exceptional points and exotic phenomena with no analogues in two-level systems arise. A paradigm is the exceptional nexus (EX), a third-order EP as the cusp singularity of exceptional arcs…

量子物理 · 物理学 2024-06-21 Chenhao Wang , Nan Li , Jin Xie , Cong Ding , Zhonghua Ji , Liantuan Xiao , Suotang Jia , Ying Hu , Yanting Zhao

Topological operations have the merit of achieving certain goals without requiring accurate control over local operational details. To date, topological operations have been used to control geometric phases, and have been proposed as a…

光学 · 物理学 2016-09-13 H. Xu , D. Mason , L. Jiang , J. G. E. Harris

Achieving intrinsic optical chirality requires breaking all mirror symmetries of an object, and maximum chirality, which allows interaction with only one helicity of light, is particularly promising for applications such as chiral sensing,…

光学 · 物理学 2025-02-28 Jiaqi Niu , Jingquan Liu , Bin Yang

Exceptional point (EP) is a spectral singularity in non-Hermitian systems. The passing over the EP leads to a phase transition, which endows the system with unconventional features that find a wide range of applications. However, the need…

量子物理 · 物理学 2023-04-19 T. T. Sergeev , A. A. Zyablovsky , E. S. Andrianov , Yu. E. Lozovik

We demonstrate that exceptional points of degeneracy (EPDs) are obtained in two coupled waveguides without resorting to gain and loss. We show the general concept that modes resulting from a proper coupling of forward and backward waves…

光学 · 物理学 2023-02-01 Tarek Mealy , Filippo Capolino

Exceptional points (EPs) are spectral degeneracies unique to non-Hermitian systems which underpin phenomena from enhanced sensing to unconventional topology. While disorder is usually viewed as detrimental, it can also drive topological…

无序系统与神经网络 · 物理学 2026-01-28 Xiaoyu Cheng , Tiantao Qu , Yaqing Yang , Jun Chen , Lei Zhang

We demonstrate a fully integrable and reconfigurable platform for controlling quantum emission by harnessing chiral exceptional bound states in the continuum (BICs) as a higher-order non-Hermitian singularity. Our architecture employs…

光学 · 物理学 2026-03-09 Jin Li , Kexun Wu , Qi Hao , Yan Chen , Jiawei Wang

We calculate analytically the geometric phases that the eigenvectors of a parametric dissipative two-state system described by a complex symmetric Hamiltonian pick up when an exceptional point (EP) is encircled. An EP is a parameter setting…

混沌动力学 · 物理学 2009-11-10 C. Dembowski , B. Dietz , H. -D. Graef , H. L. Harney , A. Heine , W. D. Heiss , A. Richter

Dynamically varying system parameters along a path enclosing an exceptional point is known to lead to chiral mode conversion. But is it necessary to include this non-Hermitian degeneracy inside the contour for this process to take place? We…

Structured light offers a powerful approach to tailor light-matter interactions in quantum systems with chiral properties. While chirality has been extensively studied in passive platforms, the role of optical gain in controlling chiral…

量子物理 · 物理学 2025-09-16 Mário G. Silveirinha , Daigo Oue

Motivated by the prospect of chiral-mode control in compact photonic systems, we analyze discrete coupled single-mode resonators. Using the minimal three-resonator model, we show that an infinitesimal complex onsite perturbation near a…

光学 · 物理学 2026-05-18 Kota Yagi , Takahiro Uemura , Yuto Moritake , Adam Mock , Masaya Notomi

Exceptional points (EPs) are non-Hermitian singularities associated with the coalescence of individual eigenvectors accompanied by the degeneracy of their complex energies. Here, we report the discovery of a generalization to the concept of…

量子物理 · 物理学 2026-05-07 Zhen Li , Xulong Wang , Rundong Cai , Kenji Shimomura , Congwei Lu , Zhesen Yang , Masatoshi Sato , Guancong Ma

Non-Hermitian systems with their spectral degeneracies known as exceptional points (EPs) have been explored for lasing, controlling light transport, and enhancing a sensor s response. A ring resonator can be brought to an EP by controlling…

光学 · 物理学 2023-05-09 Hwaseob Lee , Ali Kecebas , Feifan Wang , Lorry Chang , Sahin K. Ozdemir , Tingyi Gu

We study theoretical models of three coupled wave guides with a $\mathcal{PT}$-symmetric distribution of gain and loss. A realistic matrix model is developed in terms of a three-mode expansion. By comparing with a previously postulated…

Exceptional points (EPs) are degeneracy of non-Hermitian Hamiltonians, at which the eigenvalues, along with their eigenvectors, coalesce. Their orders are given by the Jordan decomposition. Here, we focus on higher-order EPs arising in…

量子物理 · 物理学 2023-04-18 Kang Yang , Ipsita Mandal

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…

光学 · 物理学 2019-10-08 Amgad Abdrabou , Ya Yan Lu

Eigenvalue problems for electromagnetic resonant states on open dielectric structures are non-Hermitian and may have exceptional points (EPs) at which two or more eigenfrequencies and the corresponding eigenfunctions coalesce. EPs of…

光学 · 物理学 2020-04-07 Amgad Abdrabou , Ya Yan Lu

In this work, based on an analogy with holographic confining geometries and using complexified fields, we build a holographic toy model of third order photonic exceptional points (EPs) of ternary coupled microrings with gain and loss, which…

高能物理 - 理论 · 物理学 2026-04-28 Mahdis Ghodrati

Non-Hermitian Hamiltonians can give rise to exceptional points (EPs) which have been extensively explored with nominally identical coupled resonators. Here a non-Hermitian electromechanical system is developed which hosts vibration modes…

介观与纳米尺度物理 · 物理学 2019-02-06 P. Renault , H. Yamaguchi , I. Mahboob