Lectures on Light: Nonlinear and Quantum Optics Using the Density Matrix
By: Stephen C. Rand (author)Hardback
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This book attempts to bridge in one step the enormous gap between introductory quantum mechanics and the research front of modern optics and scientific fields that make use of light. Hence, while it is suitable as a reference for the specialist in quantum optics, it will also be useful to the non-specialists from other disciplines who need to understand light and its uses in research. With a unique approach it introduces a single analytic tool, namely the density matrix, to analyze complex optical phenomena encountered in traditional as well as cross-disciplinary research. It moves swiftly in a tight sequence from elementary to sophisticated topics in quantum optics, including laser tweezers, laser cooling, coherent population transfer, optical magnetism, electromagnetically-induced transparency, squeezed light, and cavity quantum electrodynamics. A systematic approach is used that starts with the simplest systems - stationary two-level atoms - then introduces atomic motion, adds more energy levels, and moves on to discuss first-, second-, and third-order coherence effects that are the basis for analyzing new optical phenomena in incompletely characterized systems.
Unconventional examples and original problems are used to engage even seasoned researchers in exploring a mathematical methodology with which they can tackle virtually any new problem involving light. An extensive bibliography makes connections with mathematical techniques and subject areas which can extend the benefit readers gain from each section. To identify techniques and ideas that are universal enough to be applied across the bewildering landscape of research on intersecting boundaries of emerging modern disciplines is a great challenge. This book offers selected insights on quantum dynamics and quantum theory of light for exactly this purpose.
Professor Stephen C. Rand holds appointments with the Depts. of Physics, Applied Physics, and Electrical Engineering & Computer Science at the University of Michigan in Ann Arbor. Rand worked at the Hughes research labs, Malibu, CA, from 1982 to 1987. He held Visiting Professor appointments at the University of Grenoble in 1989 and at the Ecole Normale Superieure in 1994. He has served as an editor for the Journal of the Optical Society of America and was elected a Fellow of the Optical Society in 2004. He now directs the Nonlinear & Ultrafast Laser Spectroscopy Laboratory, University of Michigan. CA, from 1982 to 1987. He was Visiting Professor at the University of Grenoble in 1989, and at the Ecole Normale Superieure in 1994. He is now Director of the Nonlinear & Ultrafast Laser Spectroscopy Laboratory, University of Michigan.
1. Basic Classical Concepts ; 2. Basic Quantum Mechanics ; 3. Atom-field Interactions ; 4. Transient Optical Response ; 5. Coherent Interactions of Fields and Atoms ; 6. Quantized Fields and Coherent States ; 7. Selected Topics and Applications ; APPENDICES ; A. Expectation Values ; B. The Heisenberg Uncertainty Principle ; C. The Classical Hamiltonian of Electromagnetic Interactions ; D. Stationary and Time-Dependent Perturbation Theory ; E. Second Quantization of Fermions ; F. Frequency Shifts and Decay due to Reservoir Coupling ; G. Solving for Off-Diagonal Density Matrix Elements ; H. Irreducible Tensor Operators and Wigner-Eckart Theorem
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