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.

Provides a comprehensive review of the state of the art of theories and experiments on parity-time symmetry The first book dedicated to the multidisciplinary research on parity-time symmetry in the physical sciences Discusses important, emerging applications of parity-time symmetry Contributed by leading experts on parity-time symmetry

Autorentext

Demetrios Christodoulides is the Cobb Family Endowed Chair and Pegasus Professor of Optics at CREOL-the College of Optics and Photonics of the University of Central Florida. He received his Ph.D. degree from Johns Hopkins University in 1986 and subsequently joined Bellcore as a post-doctoral fellow. Between 1988 and 2002 he was with the faculty of the Department of Electrical Engineering at Lehigh University. His research interests include linear and nonlinear optical beam interactions, synthetic optical materials, optical solitons, and quantum electronics. He has authored and co-authored more than 350 papers. He is a Fellow of the Optical Society of America and the American Physical Society. He is the recipient of the 2011 Wood Prize and 2018 Max Born Award of OSA.

Jianke Yang is a professor of applied mathematics and University Scholar at the University of Vermont. He received his Ph.D. degree from MIT in 1994. His research focuses on nonlinear waves and nonlinear optics. He is the managing editor of the journal Studies in Applied Mathematics, and a member of the editorial board of Physical Review E. He is also the founding and general co-chair for the international conference series: Nonlinear Waves: Theory and Applications. He has published over 130 journal articles and two research monographs.

Inhalt
Linear and Nonlinear Experiments in PT-Symmetric Photonic Mesh Lattices.- PT-Symmetry on-a-Chip: Harnessing Optical Loss for Novel Integrated Photonic Functionality.- Parity-Time Symmetry in Scattering Problems.- Scattering Theory and PT-Symmetry.- Passive PT-symmetry in laser-written optical waveguide structures.- Non-Hermitian effects due to asymmetric backscattering of light in whispering-gallery microcavities.- Exact Results for a Special PT-symmetric Optical Potential.- Parity-time-symmetric optical lattices in atomic configurations.- Effects of exceptional points in PT-symmetric waveguides.- Higher order exceptional points in discrete photonics platforms.- Non-Hermitian Optical Waveguide Couplers.- Parity-Time Symmetric Plasmonics.- PT-symmetry and non-Hermitian wave transport in microwaves and RF circuits.- Coupled nonlinear Schrodinger equations with gain and loss: modeling PT-symmetry.- Making the PT symmetry unbreakable.- Krein signature in Hamiltonian and PT-symmetric systems.- Integrable nonlocal PT-symmetric and reverse space-time nonlinear Schrodinger equations.- Construction of non-PT-symmetric complex potentials with all-real spectra.- Constant-Intensity Waves in Non-Hermitian Media.- Nonlinear Beam Propagation in a Class of Complex Non-PT-Symmetric Potentials. <p