Carmichael Statistical Methods in Quantum Optics 1

Master Equations and Fokker-Planck Equations
1999
ISBN: 978-3-662-03875-8
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 361 Seiten, eBook

Reihe: Theoretical and Mathematical Physics

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.

Zielgruppe

Graduate

Autoren/Hrsg.

Carmichael, Howard J.

Inhaltsverzeichnis

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.