Statistical Methods in Quantum Optics 1

Master Equations and Fokker-Planck Equations

  • Howard J. Carmichael

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

About this book

Introduction

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.

Keywords

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

Authors and affiliations

  • Howard J. Carmichael
    • 1
  1. 1.Department of PhysicsUniversity of AucklandAucklandNew Zealand

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-03875-8
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08133-0
  • Online ISBN 978-3-662-03875-8
  • Series Print ISSN 1864-5879
  • Series Online ISSN 1864-5887
  • About this book