Orszag Quantum Optics

Including Noise Reduction, Trapped Ions, Quantum Trajectories, and Decoherence
2000
ISBN: 978-3-662-04114-7
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 361 Seiten, eBook

Reihe: Advanced Texts in Physics

Quantum Optics gives a very broad coverage of basic laser-related phenomena that allow scientists and engineers to carry out research in quantum optics and laser physics. It covers the quantization of the electromagnetic field, quantum theory of coherence, atom-field interaction models, resonance fluorescence, quantum theory of damping, laser theory using both the master equation and the Langevin approach, the correlated-emission laser, input-output theory with application in nonlinear optics, quantum trajectories, atom optics, quantum non-demolition measurements and generation of non-classical vibrational states of ions in a Paul trap. These topics are presented in a unified and didactic manner. The presentation of the book is clear and pedagogical; it balances the theoretical aspects of the optical phenomena with recent relevant experiments.

Zielgruppe

Graduate

Autoren/Hrsg.

Orszag, Miguel

Inhaltsverzeichnis

1. Einstein’s Theory of Atom—Radiation Interaction.- 2. Atom—Field Interaction: Semiclassical Approach.- 3. Quantization of the Electromagnetic Field.- 4. States of the Electromagnetic Field I.- 5. States of the Electromagnetic Field II.- 6. Quantum Theory of Coherence.- 7. Phase Space Description.- 8. Atom—Field Interaction.- 9. System—Reservoir Interactions.- 10. Resonance Fluorescence.- 11. Quantum Laser Theory. Master Equation Approach.- 12. Quantum Laser Theory. Langevin Approach.- 13. Quantum Noise Reduction I.- 14. Quantum Noise Reduction II.- 15. Quantum Phase.- 16. Quantum Trajectories.- 17. Atom Optics.- 18. Measurements, Quantum Limits and all That.- 19. Trapped Ions.- 20. Decoherence.- A. Operator Relations.- A.1 Theorem 1.- A.2 Theorem 2. The Baker—Campbell—Haussdorf Relation.- A.3 Theorem 3. Similarity Transformation.- B. The Method of Characteristics.- C. Proof of Eq. (12.37).- D. Stochastic Processes in a Nutshell.- D.1 Introduction.- D.2 Probability Concepts.- D.3 Stochastic Processes.- D.3.1 The Chapman—Kolmogorov Equation.- D.4 The Fokker—Planck Equation.- D.4.1 The Wiener Process.- D.4.2 General Properties of the Fokker—Planck Equation.- D.4.3 Steady State Solution.- D.5 Stochastic Differential Equations.- D.5.1 Ito versus Stratonovich Calculus.- D.5.2 Ito’s Formula.- D.6 Approximate Methods.- E. Derivation of the Homodyne Stochastic.- Schrödinger Differential Equation.- F. Fluctuations.- Hints for Solutions of Problems.- References.