Exceptional cones in 4D parameter space

Wang, Qiang; Ding, Kun; Liu, Hui; Zhu, Shining; Chan, Che Ting

doi:10.1364/oe.381700

Cited by 21 publications

(6 citation statements)

References 58 publications

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“…There are numerous other models that can exhibit exceptional lines, rings, and surfaces [156,[163][164][165][166][167][168][169][170][171][172][173][174]. For example, Rui et al discussed a four-band non-Hermitian Dirac Hamiltonian that hosts an ER or ES while also preserving PT symmetry [166].…”

Section: Higher-dimensional Non-hermitian Latticesmentioning

confidence: 99%

Non-Hermitian photonic lattices: tutorial

Wang¹,

Chong²

2023

J. Opt. Soc. Am. B

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Non-Hermitian photonic lattices combine the peculiar consequences of energy non-conservation with the physics of bandstructures, giving rise to a variety of exotic properties not found in conventional materials or photonic metamaterials. In this tutorial, we introduce the key concepts in the design and implementation of non-Hermitian photonic lattices, including the general features of non-Hermitian lattice Hamiltonians and their bandstructures, the role of non-Hermitian lattice symmetries, and the topological chracterization of non-Hermitian bandstructures. We survey several important non-Hermitian lattice designs, as well as the photonics platforms on which they can be realized. Finally, we discuss the possibilities for future developments in the field.

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Section: Higher-dimensional Non-hermitian Latticesmentioning

confidence: 99%

Non-Hermitian photonic lattices: tutorial

Wang¹,

Chong²

2023

J. Opt. Soc. Am. B

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“…For classical light, several internal degrees of freedom can be utilized to synthesize new dimensions 16 . Two prominent methods to introduce synthetic dimensions in photonics are (i) to build connectivity between different states of the system [34][35][36][37][38][39][40][41] , and (ii) to use a tunable parameter in the system and to consider the parameter dimensions as the extra dimensions [48][49][50][51][52][53][54] . The former method is an efficient approach to construct synthetic lattices with complicated hopping coefficients, and therefore provides important platforms to not only simulate interesting higher dimensional states but also study exotic dynamics different from those in spatial dimensions [55][56][57][58][59] .…”

Section: Introductionmentioning

confidence: 99%

Synthetic frequency dimensions in dynamically modulated ring resonators

2021

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The concept of synthetic dimensions in photonics has attracted rapidly growing interest in the past few years. Among a variety of photonic systems, the ring resonator system under dynamic modulation has been investigated in depth both in theory and experiment and has proven to be a powerful way to build synthetic frequency dimensions. In this Tutorial, we start with a pedagogical introduction to the theoretical approaches in describing the dynamically modulated ring resonator system and then review experimental methods in building such a system. Moreover, we discuss important physical phenomena in synthetic dimensions, including nontrivial topological physics. This Tutorial provides a pathway toward studying the dynamically modulated ring resonator system and understanding synthetic dimensions in photonics and discusses future prospects for both fundamental research and practical applications using synthetic dimensions.

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“…Also, a recent study [14] shows that whether or not the dynamics is chiral actually depends on the starting point of the loop. Exceptional points have also been studied in high order or higher dimensions, for example, two-dimensional (2D) exceptional surfaces [15] or 3D exceptional hyper-surface [16]. Up to now, EPs have been studied in diverse systems, such as photonic crystals (PCs) [17], plasmonic waveguides [18], and optomechanical systems [19].…”

Section: Introductionmentioning

confidence: 99%

Comparative study of Hermitian and non-Hermitian topological dielectric photonic crystals

Chen,

Jiang,

Zhang

et al. 2021

Preprint

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The effects of gain and loss on the band structures of a bulk topological dielectric photonic crystal (PC) with C6v symmetry and the PC-air-PC interface are studied based on first-principle calculation. To illustrate the importance of parity-time (PT) symmetry, three systems are considered, namely the PT-symmetric, PT-asymmetric, and lossy systems. We find that the system with gain and loss distributed in a PT symmetric manner exhibits a phase transition from a PT exact phase to a PT broken phase as the strength of the gain and loss increases, while for the PT-asymmetric and lossy systems, no such phase transition occurs. Furthermore, based on the Wilson loop calculation, the topology of the PT-symmetric system in the PT exact phase is demonstrated to keep unchanged as the Hermitian system. At last, different kinds of edge states in Hermitian systems under the influences of gain and loss are studied and we find that while the eigenfrequencies of nontrivial edge states become complex conjugate pairs, they keep real for the trivial defect states.

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Exceptional cones in 4D parameter space

Cited by 21 publications

References 58 publications

Non-Hermitian photonic lattices: tutorial

Non-Hermitian photonic lattices: tutorial

Synthetic frequency dimensions in dynamically modulated ring resonators

Comparative study of Hermitian and non-Hermitian topological dielectric photonic crystals

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