Lectures on light: nonlinear and quantum optics using the density matrix

This book bridges the gap between introductory quantum mechanics and the research front of modern optics and scientific fields that make use of light. While suitable as a reference for the specialist in quantum optics, it also targets non-specialists from other disciplines who need to understand light and its uses in research. It introduces a single analytic tool, 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 optical tweezers, laser cooling, coherent population transfer, optical magnetism, electromagnetically induced transparency, squeezed light, and cavity quantum electrodynamics. A systematic approach 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 in exploring a mathematical methodology which can tackle virtually any new problem involving light. The steady progression from “simple” to “elaborate” makes the book accessible not only to students from traditional subject areas that make use of light, but also to researchers such as biophysicists using mechanical effects of light; photochemists developing coherent control for rare species detection; biomedical engineers imaging through scattering media; electromechanical engineers working on molecular design of materials for electronics and space; electrical and computer engineers developing schemes for quantum computation, cryptography, frequency references, and the like.