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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

The exotic physics emerging in non-Hermitian systems with balanced distributions of gain and loss has drawn a great deal of attention in recent years. These systems exhibit phase transitions and exceptional point singularities in their…

光学 · 物理学 2021-03-17 Arik Bergman , Robert Duggan , Kavita Sharma , Moshe Tur , Avi Zadok , Andrea Alu

Exceptional points in an optical dimer of spheres, which have the same size and operate in the spectral region of the dipolar resonance, are considered. By choosing different materials of these spheres, we can offset the radiative loss and…

光学 · 物理学 2023-07-31 Alexey A. Dmitriev , Mikhail V. Rybin

Non-Hermitian systems with parity-time symmetry have been developed rapidly and hold great promise for future applications. Unlike most existing works considering the symmetry of the free energy terms (e.g., gain-loss system), in this…

量子物理 · 物理学 2017-11-21 Wenlin Li , Chong Li , Heshan Song

We demonstrate the existence of exceptional points of degeneracy (EPD) of periodic eigenstates in non-Hermitian coupled chains of dipolar scatterers. Guided modes supported by these structures can exhibit an EPD in their dispersion diagram…

光学 · 物理学 2017-03-22 Mohamed A. K. Othman , Vincenzo Galdi , Filippo Capolino

Owing to the presence of exceptional points (EPs), non-Hermitian (NH) systems can display intriguing topological phenomena without Hermitian analogs. However, experimental characterizations of exceptional topological invariants have been…

We discuss a novel kind of nonlinear coupler with one channel filled with a negative index material (NIM). The opposite directionality of the phase velocity and the energy flow in the NIM channel facilitates an effective feedback mechanism…

光学 · 物理学 2009-11-13 Natalia M. Litchinitser , Ildar R. Gabitov , Andrei I. Maimistov

Exceptional point (EP) associated with the parity-time (PT) symmetry breaking is receiving considerable recent attention by the broad physics community. By introducing balanced gain and loss, it has been realized in photonic, acoustic, and…

材料科学 · 物理学 2020-07-01 Yunshan Cao , Peng Yan

Exceptional points (EPs) are truly non-Hermitian (NH) degeneracies where matrices become defective. The order of such an EP is given by the number of coalescing eigenvectors. On the one hand, most work focuses on studying $N$th-order EPs in…

介观与纳米尺度物理 · 物理学 2024-11-11 Julius T. Gohsrich , Jacob Fauman , Flore K. Kunst

Engineered non-Hermitian systems featuring exceptional points can lead to a host of extraordinary phenomena in diverse fields ranging from photonics, acoustics, opto-mechanics, electronics, to atomic physics. Here we introduce and present…

量子物理 · 物理学 2021-03-23 Arkadev Roy , Saman Jahani , Qiushi Guo , Avik Dutt , Shanhui Fan , Mohammad-Ali Miri , Alireza Marandi

Non-Hermitian singularities known as exceptional-points (EPs) have been shown to exhibit increased sensitivities but the observation of EPs has so far been limited to wavelength scaled systems subject to diffraction limit. We propose a…

光学 · 物理学 2019-04-03 J. -H. Park , A. Ndao , W. Cai , L. -Y. Hsu , A. Kodigala , T. Lepetit , Y. -H. Lo , B. Kanté

Spatially periodic elastic metamaterials, comprising hard inclusions within a soft matrix in $d$-dimensional space ($d\geq 2$), exhibit a rich spectrum of physical phenomena. This paper investigates such a model and presents the following…

偏微分方程分析 · 数学 2025-09-09 Yixian Gao , Shuguan Ji , Shangling Song

We propose a novel type of exceptional points, dubbed interaction-enabled $n$-fold exceptional points [EP$n$s ($n=2,3$)] -- EP$n$s protected by topology that are prohibited at the non-interacting level. Specifically, we demonstrate that…

介观与纳米尺度物理 · 物理学 2026-02-17 Musashi Kato , Tsuneya Yoshida

We study optomechanically induced transparency in a microresonator coupled with nanoparticles. By tuning the relative angle of the nanoparticles, exceptional points (EPs) emerge periodically in this system and thus strongly modify both the…

量子物理 · 物理学 2018-07-19 Hao Lü , Changqing Wang , Lan Yang , Hui Jing

In contrast to Hermitian systems, eigenstates of non-Hermitian ones are in general nonorthogonal. This feature is most pronounced at exceptional points where several eigenstates are linearly dependent. In this work we show that near this…

量子物理 · 物理学 2016-12-23 Alexander A. Zyablovsky , Evgeny S. Andrianov , Alexander A. Pukhov

We propose a scheme to realize parity-time (PT) symmetric photonic Lieb lattices of ribbon shape and complex couplings, thereby demonstrating the higher-order exceptional point (EP) and Landau-Zener Bloch (LZB) oscillations in presence of a…

Exceptional points (EPs) are singular points on a parameter space at which some eigenvalues (scattering poles) and their corresponding eigenmodes coalesce. This study shows the existence of second- and third-order EPs in cylindrical elastic…

经典物理 · 物理学 2023-04-26 Kei Matsushima , Yuki Noguchi , Takayuki Yamada

We investigate the impact on basic quantum transport properties of disorder-induced exceptional points (EPs) that emerge in a disorder-averaged Green's function description of two-dimensional (2D) Dirac semimetals with spin- or…

介观与纳米尺度物理 · 物理学 2023-01-27 Benjamin Michen , Jan Carl Budich

Exceptional points are universal level degeneracies induced by non-Hermiticity. Whereas past decades witnessed their new physics, the unified understanding has yet to be obtained. Here we present the complete classification of generic…

介观与纳米尺度物理 · 物理学 2019-08-13 Kohei Kawabata , Takumi Bessho , Masatoshi Sato

We present the observation of diabolic points in Hermitian and non-Hermitian electronics dimers. The condition of unbreakable Parity-time symmetry is established for both PT-symmetric ZRC and RLC dimers. We show how appears non-Hermitian…

应用物理 · 物理学 2020-05-25 Stéphane Boris Tabeu , Fernande Fotsa-Ngaffo , Aurélien Kenfack-Jiotsa