Parity-time Symmetry and Its Applications

  • Demetrios Christodoulides
  • Jianke Yang

Part of the Springer Tracts in Modern Physics book series (STMP, volume 280)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Martin Wimmer, Demetrios Christodoulides, Ulf Peschel
    Pages 1-32
  3. Mingsen Pan, Pei Miao, Han Zhao, Zhifeng Zhang, Liang Feng
    Pages 33-52
  4. Mohammad-Ali Miri, Robert S. Duggan, Andrea Alù
    Pages 53-74
  5. T. Eichelkraut, S. Weimann, M. Kremer, M. Ornigotti, A. Szameit
    Pages 123-153
  6. Zhaoyang Zhang, Yiqi Zhang, Jingliang Feng, Jiteng Sheng, Yanpeng Zhang, Min Xiao
    Pages 215-236
  7. Nimrod Moiseyev, Alexei A. Mailybaev
    Pages 237-259
  8. M. H. Teimourpour, Q. Zhong, M. Khajavikhan, R. El-Ganainy
    Pages 261-275
  9. Sergey V. Suchkov, Andrey A. Sukhorukov, Yuri S. Kivshar
    Pages 277-300
  10. D. Barton III, M. Lawrence, H. Alaeian, B. Baum, J. Dionne
    Pages 301-349
  11. Huanan Li, Mahboobeh Chitsazi, Roney Thomas, F. M. Ellis, Tsampikos Kottos
    Pages 351-405
  12. Vitaly Lutsky, Eitam Luz, Er’el Granot, Boris A. Malomed
    Pages 443-464
  13. A. Chernyavsky, P. G. Kevrekidis, D. E. Pelinovsky
    Pages 465-491
  14. Konstantinos G. Makris, Andre Brandstötter, Stefan Rotter
    Pages 535-555
  15. J. Cuevas-Maraver, P. G. Kevrekidis, D. J. Frantzeskakis, Y. Kominis
    Pages 557-579

About this book


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. 


Nonlinear optical structures Plasmonic metamaterials Non-Hermitian photonic lattices Discrete PT systems PT-symmetric microcavities

Editors and affiliations

  • Demetrios Christodoulides
    • 1
  • Jianke Yang
    • 2
  1. 1.College of Optics and PhotonicsUniversity of Central FloridaOrlandoUSA
  2. 2.Department of Mathematics and StatisticsUniversity of VermontBurlingtonUSA

Bibliographic information