© 1999

Statistical Methods in Quantum Optics 1

Master Equations and Fokker-Planck Equations


Part of the Texts and Monographs in Physics book series (TMP)

About this book


The book provides an introduction to the methods of quantum statistical mechanics used in quantum optics and their application to the quantum theories of the single-mode laser and optical bistability. The generalized representations of Drummond and Gardiner are discussed together with the more standard methods for deriving Fokker--Planck equations. Particular attention is given to the theory of optical bistability formulated in terms of the positive P-representation, and the theory of small bistable systems. This is a textbook at an advanced graduate level. It is intended as a bridge between an introductory discussion of the master equation method and problems of current research.


Equation Fokker-Planck Laser Physics Master Equation Optics Quantum Fluctuations Quantum Optics Quantum mechanics Resonance Fluorescence Theorie

Authors and affiliations

  1. 1.Department of PhysicsUniversity of AucklandAucklandNew Zealand

Bibliographic information


From the reviews
"To sum up: Statistical Methods in Quantum Optics 1 is an excellent book. Try it, you'll like it!" (M.O. Scully, Physics Today, 2000)

"The book is carefully written, in considerable detail, paying attention to both foundations and applications. It contains exercices completing or generalizing the material presented, and ample references to the literature. It is, therefore, very useful as the basis for a course." (V.R. Vieira, Mathematical Reviews, 2000f)

"…a valuable addition to the literature…an excellent book. Try it, you’ll like it!”

 "It is a pleasure to recommend this title thoroughly for both individual and institutional purchase." (D. L. Andrews (University of Anglia), Contemporary Physics 2002, vol. 43, page 232-233)