Including Noise Reduction, Trapped Ions, Quantum Trajectories, and Decoherence /
by Miguel Orszag.
Berlin, Heidelberg :
Imprint: Springer,
2000.
Advanced Texts in Physics,
1439-2674
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.
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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-classsical 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.