Christodoulides D., Yang J. (eds.) Parity-time Symmetry and Its Applications

Springer, 2018. — 579 pp.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.Linear and Nonlinear Experiments in PT-Symmetric Photonic Mesh Lattices (by Martin Wimmer, Demetrios Christodoulides, and Ulf Peschel).
PT-Symmetry on-a-Chip: Harnessing Optical Loss for Novel Integrated Photonic Functionality (by Mingsen Pan, Pei Miao, Han Zhao, Zhifeng Zhang, and Liang Feng).
Parity-Time Symmetry in Scattering Problems (by Mohammad-Ali Miri, Robert S. Duggan, and Andrea Alu).
Scattering Theory and PT-Symmetry (by Ali Mostafazadeh).
Passive PT -Symmetry in Laser-Written Optical Waveguide Structures (by T. Eichelkraut, S. Weimann, M. Kremer, M. Ornigotti, and A. Szameit).
Non-Hermitian Effects Due to Asymmetric Backscattering of Light in Whispering-Gallery Microcavities (by Jan Wiersig).
Exact Results for a Special PT-Symmetric Optical Potential (by H. F. Jones).
Parity-Time-Symmetric Optical Lattices in Atomic Configurations (by Zhaoyang Zhang, Yiqi Zhang, Jingliang Feng, Jiteng Sheng, Yanpeng Zhang, and Min Xiao).
Effects of Exceptional Points in PT-Symmetric Waveguides (by Nimrod Moiseyev and Alexei A. Mailybaev).
Higher Order Exceptional Points in Discrete Photonics Platforms (by M. H. Teimourpour, Q. Zhong, M. Khajavikhan, and R. El-Ganainy).
Non-Hermitian Optical Waveguide Couplers (by Sergey V. Suchkov, Andrey A. Sukhorukov, and Yuri S. Kivshar).
Parity-Time Symmetric Plasmonics (by D. Barton III, M. Lawrence, H. Alaeian, B. Baum, and J. Dionne).
PT-Symmetry and Non-Hermitian Wave Transport in Microwaves and RF Circuits (by Huanan Li, Mahboobeh Chitsazi, Roney Thomas, F. M. Ellis,
and Tsampikos Kottos).
Coupled Nonlinear Schroedinger Equations with Gain and Loss: Modeling PT Symmetry (by Vladimir V. Konotop).
Making the PT Symmetry Unbreakable (by Vitaly Lutsky, Eitam Luz, Er’el Granot, and Boris A. Malomed).
Krein Signature in Hamiltonian and PT-Symmetric Systems (by A. Chernyavsky, P. G. Kevrekidis, and D. E. Pelinovsky).
Integrable Nonlocal PT Symmetric and Reverse Space-Time Nonlinear Schroedinger Equations (by Mark J. Ablowitz and Ziad H. Musslimani).
Construction of Non-PT -Symmetric Complex Potentials with All-Real Spectra (by Jianke Yang).
Constant-Intensity Waves in Non-Hermitian Media (by Konstantinos G. Makris, Andre Brandstoetter, and Stefan Rotter).
Nonlinear Beam Propagation in a Class of Complex Non-PT-Symmetric Potentials (by J. Cuevas-Maraver, P. G. Kevrekidis, D. J. Frantzeskakis, and Y. Kominis).