Parity-time Symmetry and Its Applications

Description

This book offers a comprehensive review of the state-of-the-art theoretical and experimental advances in linear and nonlinear parity-time-symmetric systems in various physical disciplines, and surveys the emerging applications of parity-time (PT) symmetry. PT symmetry originates from quantum mechanics, where if the Schrodinger operator satisfies the PT symmetry, then its spectrum can be all real. This concept was later introduced into optics, Bose-Einstein condensates, metamaterials, electric circuits, acoustics, mechanical systems and many other fields, where a judicious balancing of gain and loss constitutes a PT-symmetric system. Even though these systems are dissipative, they exhibit many signature properties of conservative systems, which make them mathematically and physically intriguing. Important PT-symmetry applications have also emerged. This book describes the latest advances of PT symmetry in a wide range of physical areas, with contributions from the leading experts. It is intended for researchers and graduate students to enter this research frontier, or use it as a reference book. Front Matter ....Pages i-xv Linear and Nonlinear Experiments in \( \mathbb{PT} \)-Symmetric Photonic Mesh Lattices (Martin Wimmer, Demetrios Christodoulides, Ulf Peschel)....Pages 1-32 PT-Symmetry on-a-Chip: Harnessing Optical Loss for Novel Integrated Photonic Functionality (Mingsen Pan, Pei Miao, Han Zhao, Zhifeng Zhang, Liang Feng)....Pages 33-52 Parity-Time Symmetry in Scattering Problems (Mohammad-Ali Miri, Robert S. Duggan, Andrea Alù)....Pages 53-74 Scattering Theory and \(\mathbb {P}\mathbb {T}\)-Symmetry (Ali Mostafazadeh)....Pages 75-121 Passive \(\mathbb {PT}\)-Symmetry in Laser-Written Optical Waveguide Structures (T. Eichelkraut, S. Weimann, M. Kremer, M. Ornigotti, A. Szameit)....Pages 123-153 Non-Hermitian Effects Due to Asymmetric Backscattering of Light in Whispering-Gallery Microcavities (Jan Wiersig)....Pages 155-184 Exact Results for a Special PT-Symmetric Optical Potential (H. F. Jones)....Pages 185-213 Parity-Time-Symmetric Optical Lattices in Atomic Configurations (Zhaoyang Zhang, Yiqi Zhang, Jingliang Feng, Jiteng Sheng, Yanpeng Zhang, Min Xiao)....Pages 215-236 Effects of Exceptional Points in PT-Symmetric Waveguides (Nimrod Moiseyev, Alexei A. Mailybaev)....Pages 237-259 Higher Order Exceptional Points in Discrete Photonics Platforms (M. H. Teimourpour, Q. Zhong, M. Khajavikhan, R. El-Ganainy)....Pages 261-275 Non-Hermitian Optical Waveguide Couplers (Sergey V. Suchkov, Andrey A. Sukhorukov, Yuri S. Kivshar)....Pages 277-300 Parity-Time Symmetric Plasmonics (D. Barton III, M. Lawrence, H. Alaeian, B. Baum, J. Dionne)....Pages 301-349 PT-Symmetry and Non-Hermitian Wave Transport in Microwaves and RF Circuits (Huanan Li, Mahboobeh Chitsazi, Roney Thomas, F. M. Ellis, Tsampikos Kottos)....Pages 351-405 Coupled Nonlinear Schrödinger Equations with Gain and Loss: Modeling \(\mathcal {PT}\) Symmetry (Vladimir V. Konotop)....Pages 407-441 Making the \(\mathbb {PT}\) Symmetry Unbreakable (Vitaly Lutsky, Eitam Luz, Er’el Granot, Boris A. Malomed)....Pages 443-464 Krein Signature in Hamiltonian and \(\mathbb {PT}\)-Symmetric Systems (A. Chernyavsky, P. G. Kevrekidis, D. E. Pelinovsky)....Pages 465-491 Integrable Nonlocal PT Symmetric and Reverse Space-Time Nonlinear Schrödinger Equations (Mark J. Ablowitz, Ziad H. Musslimani)....Pages 493-512 Construction of Non-\(\mathbb {PT}\)-Symmetric Complex Potentials with All-Real Spectra (Jianke Yang)....Pages 513-534 Constant-Intensity Waves in Non-Hermitian Media (Konstantinos G. Makris, Andre Brandstötter, Stefan Rotter)....Pages 535-555 Nonlinear Beam Propagation in a Class of Complex Non-\(\mathcal {PT}\)-Symmetric Potentials (J. Cuevas-Maraver, P. G. Kevrekidis, D. J. Frantzeskakis, Y. Kominis)....Pages 557-579