Statistical Methods in Quantum Optics 1 - Howard J. Carmichael

Statistical Methods in Quantum Optics 1

Master Equations and Fokker-Planck Equations
Buch | Hardcover
XXI, 361 Seiten
1998 | 1999
Springer Berlin (Verlag)
978-3-540-54882-9 (ISBN)
96,29 inkl. MwSt
This 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.
As a graduate student working in quantum optics I encountered the question that might be taken as the theme of this book. The question definitely arose at that time though it was not yet very clearly defined; there was simply some deep irritation caused by the work I was doing, something quite fundamental I did not understand. Of course, so many things are not understood when one is a graduate student. However, my nagging question was not a technical issue, not merely a mathematical concept that was difficult to grasp. It was a sense that certain elementary notions that are accepted as starting points for work in quantum optics somehow had no fundamental foundation, no identifiable root. My inclination was to mine physics vertically, and here was a subject whose tunnels were dug horizontally. There were branches, certainly, going up and going down. Nonetheless, something major in the downwards direction was missing-at least in my understanding; no doubt others understood the connections downwards very well. In retrospect I can identify the irritation. Quantum optics deals primarily with dynamics, quantum dynamics, and in doing so makes extensive use of words like "quantum fluctuations" and "quantum noise. " The words seem harmless enough. Surely the ideas behind them are quite clear; after all, quantum mechanics is a statistical theory, and in its dynamical aspects it is therefore a theory of fluctuations. But there was my problem. Nothing in Schrodinger's equation fluctuates.

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.

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)

PHYSICS TODAY
"...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)

Erscheint lt. Verlag 18.11.1998
Reihe/Serie Theoretical and Mathematical Physics
Zusatzinfo XXI, 361 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 704 g
Themenwelt Naturwissenschaften Physik / Astronomie Atom- / Kern- / Molekularphysik
Naturwissenschaften Physik / Astronomie Hochenergiephysik / Teilchenphysik
Naturwissenschaften Physik / Astronomie Quantenphysik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Technik Elektrotechnik / Energietechnik
Schlagworte Equation • Fokker-Planck • Laser Physics • Master Equation • Optics • Quantenoptik • Quantenstatistik • Quantum Fluctuations • quantum mechanics • Quantum Optics • Resonance Fluorescence • Theorie
ISBN-10 3-540-54882-3 / 3540548823
ISBN-13 978-3-540-54882-9 / 9783540548829
Zustand Neuware
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