The Quantum Theory of Nonlinear Optics

Playing a prominent role in communications, quantum science and laser physics, quantum nonlinear optics is an increasingly important field. This book presents a self-contained treatment of field quantization and covers topics such as the canonical formalism for fields, phase-space representations and the encompassing problem of quantization of electrodynamics in linear and nonlinear media. Starting with a summary of classical nonlinear optics, it then explains in detail the calculation techniques for quantum nonlinear optical systems and their applications, quantum and classical noise sources in optical fibers and applications of nonlinear optics to quantum information science. Supplemented by end-of-chapter exercises and detailed examples of calculation techniques in different systems, this book is a valuable resource for graduate students and researchers in nonlinear optics, condensed matter physics, quantum information and atomic physics. A solid foundation in quantum mechanics and classical electrodynamics is assumed, but no prior knowledge of nonlinear optics is required.

1. Classical nonlinear optics; 2. Field quantization; 3. Quantized fields in dielectric media; 4. Microscopic description of media; 5. Coherence and quantum dynamics in simple system; 6. Decoherence and reservoirs; 7. Phase-space representations; 8. Single-mode devices; 9. Degenerate parametric oscillator; 10. Quantum fields in waveguides; 11. Quantum propagation in nonlinear fibers; 12. Quantum information.

Peter D. Drummond is a Distinguished Professor in the Faculty of Engineering and Industrial Sciences, Swinburne University of Technology. His current research focuses on ultra-cold atomic physics, quantum information and bio-informatics.
Mark Hillery is a Professor at the Department of Physics and Astronomy, Hunter College, and in the Physics Graduate Program, Graduate Center, City University of New York. His research focuses on the field of quantum information.