Journal ArticleDOI
Parity-time symmetry and exceptional points in photonics.
TLDR
The role of PT symmetry and non-Hermitian dynamics for synthesizing and controlling the flow of light in optical structures is highlighted and a roadmap for future studies and potential applications is provided.Abstract:
Exploiting the interplay between gain, loss and the coupling strength between different optical components creates a variety of new opportunities in photonics to generate, control and transmit light. Inspired by the discovery of real eigenfrequencies for non-Hermitian Hamiltonians obeying parity–time (PT) symmetry, many counterintuitive aspects are being explored, particularly close to the associated degeneracies also known as ‘exceptional points’. This Review explains the underlying physical principles and discusses the progress in the experimental investigation of PT-symmetric photonic systems. We highlight the role of PT symmetry and non-Hermitian dynamics for synthesizing and controlling the flow of light in optical structures and provide a roadmap for future studies and potential applications. This Review discusses recent developments in the area of non-Hermitian physics, and more specifically the special case of non-Hermitian optical systems with parity–time symmetry.read more
Citations
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Journal ArticleDOI
Exceptional topology of non-Hermitian systems
TL;DR: In this paper, the role of topology in non-Hermitian (NH) systems and its far-reaching physical consequences observable in a range of dissipative settings are reviewed.
Journal ArticleDOI
Non-Hermitian Physics
TL;DR: In this article, a review of non-Hermitian classical and quantum physics can be found, with an overview of how diverse classical systems, ranging from photonics, mechanics, electrical circuits, acoustics to active matter, can be used to simulate non-hermitian wave physics.
Journal ArticleDOI
Ultrafast control of vortex microlasers.
Can Huang,Chen Zhang,Shumin Xiao,Yuhan Wang,Yubin Fan,Yilin Liu,Nan Zhang,Geyang Qu,Hongjun Ji,Jiecai Han,Li Ge,Li Ge,Yuri S. Kivshar,Qinghai Song,Qinghai Song +14 more
TL;DR: The results provide an approach that breaks the long-standing trade-off between low energy consumption and high-speed nanophotonics, introducing vortex microlasers that are switchable at terahertz frequencies.
Journal ArticleDOI
Symmetry and Topology in Non-Hermitian Physics
TL;DR: In this paper, a complete theory of symmetry and topology in non-Hermitian physics is developed, and a classification of topological phases in arbitrary dimensions and symmetry classes is presented.
Journal ArticleDOI
Symmetry and Topology in Non-Hermitian Physics
TL;DR: In this paper, a complete theory of symmetry and topology in non-Hermitian physics was developed, where charge conjugation is defined in terms of transposition rather than complex conjugations due to the lack of Hermiticity, and chiral symmetry becomes distinct from sublattice symmetry.
References
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Book
Perturbation theory for linear operators
TL;DR: The monograph by T Kato as discussed by the authors is an excellent reference work in the theory of linear operators in Banach and Hilbert spaces and is a thoroughly worthwhile reference work both for graduate students in functional analysis as well as for researchers in perturbation, spectral, and scattering theory.
Journal ArticleDOI
Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
TL;DR: The condition of self-adjointness as discussed by the authors ensures that the eigenvalues of a Hamiltonian are real and bounded below, replacing this condition by the weaker condition of $\mathrm{PT}$ symmetry, one obtains new infinite classes of complex Hamiltonians whose spectra are also real and positive.
Journal ArticleDOI
Cavity Optomechanics
TL;DR: The field of cavity optomechanics explores the interaction between electromagnetic radiation and nano-or micromechanical motion as mentioned in this paper, which explores the interactions between optical cavities and mechanical resonators.
Journal ArticleDOI
Observation of parity–time symmetry in optics
Christian E. Rüter,Konstantinos G. Makris,Ramy El-Ganainy,Demetrios N. Christodoulides,Mordechai Segev,Detlef Kip +5 more
TL;DR: In this paper, the authors report the first observation of the behaviour of a PT optical coupled system that judiciously involves a complex index potential, and observe both spontaneous PT symmetry breaking and power oscillations violating left-right symmetry.
Journal ArticleDOI
Topological Photonics
Tomoki Ozawa,Hannah M. Price,Alberto Amo,Nathan Goldman,Mohammad Hafezi,Ling Lu,Mikael C. Rechtsman,David Schuster,Jonathan Simon,Oded Zilberberg,Iacopo Carusotto +10 more
TL;DR: Topological photonics is a rapidly emerging field of research in which geometrical and topological ideas are exploited to design and control the behavior of light as mentioned in this paper, which holds great promise for applications.