Statistical Methods in Quantum Optics 1 [electronic resource] : Master Equations and Fokker-Planck Equations / by Howard J. Carmichael

Author: Carmichael, Howard, 1950-
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.
Edition: 1st ed. 1999.
Physical Description: XXI, 361 pages : online resource
Additional Creators: SpringerLink (Online service)

Access Online

ezaccess.libraries.psu.edu

Availability

Finding items...

Series

Theoretical and mathematical physics (Springer (Firm))

Contents

1. Dissipation in Quantum Mechanics: The Master Equation Approach -- 2. Two-Level Atoms and Spontaneous Emission -- 3. Quantum-Classical Correspondence for the Electromagnetic Field I: The Glauber-Sudarshan P Representation -- 4. Quantum-Classical Correspondence for the Electromagnetic Field II: P, Q, and Wigner Representations -- 5. Fokker-Planck Equations and Stochastic Differential Equations -- 6. Quantum-Classical Correspondence for Two-Level Atoms -- 7. The Single-Mode Homogeneously Broadened Laser I: Preliminaries -- 8. The Single-Mode Homogeneously Broadened Laser II: Phase-Space Analysis -- References.

Summary

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.

Subject(s)

ISBN

9783662038758

Digital File Characteristics

PDF
text file

Part Of

Springer Nature eBook

View MARC record | catkey: 34512330