Quantum Optics V

An in-depth and wide-ranging introduction to the field of quantum optics.

This book scrutinises, physically, the devices and components used in quantum optic experiments, revealing various, hitherto ignored, phenomena, including quantum Rayleigh spontaneous and stimulated emissions, the unavoidable parametric amplification of spontaneous emission, and the formation of groups of monochromatic photons in a high finesse cavity incorporating a quantum dot. The book also explores self-contained quantisation of the optical field without any harmonic oscillators leading to the dynamic and coherent number states, the intrinsic optical field of photons and their localised spatial distributions, and instantaneous and localised photon-dipole interactions by means of pure, dynamic and coherent number states. In addition, it looks at the quantum evolution and predictions being described by the Ehrenfest theorem, for any level of optical field excitation, in order to evaluate the expectation value of an operator in the context of a given set of pure wavefunctions, and identifies quantum phenomena at the level of single events and measurements with a space- and time-dependence, leading to quantum locality and realism. Overall, the book shows that there are no quantum optic “miracles” once the physically present effects are correctly identified.

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Principles of Laser Spectroscopy and Quantum Optics is an essential textbook for graduate students studying the interaction of optical fields with atoms. It also serves as an ideal reference text for researchers working in the fields of laser spectroscopy and quantum optics. The book provides a rigorous introduction to the prototypical problems of radiation fields interacting with two- and three-level atomic systems. It examines the interaction of radiation with both atomic vapors and condensed matter systems, the density matrix and the Bloch vector, and applications involving linear absorption and saturation spectroscopy. Other topics include hole burning, dark states, slow light, and coherent transient spectroscopy, as well as atom optics and atom interferometry. In the second half of the text, the authors consider applications in which the radiation field is quantized. Topics include spontaneous decay, optical pumping, sub-Doppler laser cooling, the Heisenberg equations of motion for atomic and field operators, and light scattering by atoms in both weak and strong external fields. The concluding chapter offers methods for creating entangled and spin-squeezed states of matter. Instructors can create a one-semester course based on this book by combining the introductory chapters with a selection of the more advanced material. A solutions manual is available to teachers. Rigorous introduction to the interaction of optical fields with atoms Applications include linear and nonlinear spectroscopy, dark states, and slow light Extensive chapter on atom optics and atom interferometry Conclusion explores entangled and spin-squeezed states of matter Solutions manual (available only to teachers)

Going beyond standard introductory texts, Mathematical Optics: Classical, Quantum, and Computational Methods brings together many new mathematical techniques from optical science and engineering research. Profusely illustrated, the book makes the material accessible to students and newcomers to the field. Divided into six parts, the text presents state-of-the-art mathematical methods and applications in classical optics, quantum optics, and image processing. Part I describes the use of phase space concepts to characterize optical beams and the application of dynamic programming in optical waveguides. Part II explores solutions to paraxial, linear, and nonlinear wave equations. Part III discusses cutting-edge areas in transformation optics (such as invisibility cloaks) and computational plasmonics. Part IV uses Lorentz groups, dihedral group symmetry, Lie algebras, and Liouville space to analyze problems in polarization, ray optics, visual optics, and quantum optics. Part V examines the role of coherence functions in modern laser physics and explains how to apply quantum memory channel models in quantum computers. Part VI introduces super-resolution imaging and differential geometric methods in image processing. As numerical/symbolic computation is an important tool for solving numerous real-life problems in optical science, many chapters include Mathematica® code in their appendices. The software codes and notebooks as well as color versions of the book’s figures are available at www.crcpress.com.

Provides fully updated coverage of new experiments in quantum optics This fully revised and expanded edition of a well-established textbook on experiments on quantum optics covers new concepts, results, procedures, and developments in state-of-the-art experiments. It starts with the basic building blocks and ideas of quantum optics, then moves on to detailed procedures and new techniques for each experiment. Focusing on metrology, communications, and quantum logic, this new edition also places more emphasis on single photon technology and hybrid detection. In addition, it offers end-of-chapter summaries and full problem sets throughout. Beginning with an introduction to the subject, A Guide to Experiments in Quantum Optics, 3rd Edition presents readers with chapters on classical models of light, photons, quantum models of light, as well as basic optical components. It goes on to give readers full coverage of lasers and amplifiers, and examines numerous photodetection techniques being used today. Other chapters examine quantum noise, squeezing experiments, the application of squeezed light, and fundamental tests of quantum mechanics. The book finishes with a section on quantum information before summarizing of the contents and offering an outlook on the future of the field. -Provides all new updates to the field of quantum optics, covering the building blocks, models and concepts, latest results, detailed procedures, and modern experiments -Places emphasis on three major goals: metrology, communications, and quantum logic -Presents fundamental tests of quantum mechanics (Schrodinger Kitten, multimode entanglement, photon systems as quantum emulators), and introduces the density function -Includes new trends and technologies in quantum optics and photodetection, new results in sensing and metrology, and more coverage of quantum gates and logic, cluster states, waveguides for multimodes, discord and other quantum measures, and quantum control -Offers end of chapter summaries and problem sets as new features A Guide to Experiments in Quantum Optics, 3rd Edition is an ideal book for professionals, and graduate and upper level students in physics and engineering science.

This textbook offers a comprehensive and up-to-date overview of the basic ideas in modern quantum optics, beginning with a review of the whole of optics, and culminating in the quantum description of light. The book emphasizes the phenomenon of interference as the key to understanding the behavior of light, and discusses distinctions between the classical and quantum nature of light. Laser operation is reviewed at great length and many applications are covered, such as laser cooling, Bose condensation and the basics of quantum information and teleportation. Quantum mechanics is introduced in detail using the Dirac notation, which is explained from first principles. In addition, a number of non-standard topics are covered such as the impossibility of a light-based Maxwell's demon, the derivation of the Second Law of thermodynamics from the first-order time-dependent quantum perturbation theory, and the concept of Berry's phase. The book emphasizes the physical basics much more than the formal mathematical side, and is ideal for a first, yet in-depth, introduction to the subject. Five sets of problems with solutions are included to further aid understanding of the subject. Contents:From Geometry to the QuantumIntroduction to LasersProperties of Light: Blackbody RadiationInteraction of Light with Matter IBasic Optical Processes — Still ClassicalMore Detailed Principles of LaserInteractions of Light with Matter IITwo Level SystemsField QuantizationInteraction of Light with Matter IIISome Recent Applications of Quantum OpticsClosing LinesProblems and Solutions Readership: Physics and chemistry undergraduates (3rd and 4th year, as well as advanced 2nd year) and first year postgraduate students. Ideal as a textbook for a one-term long course on quantum optics.

This textbook, based on the authors’ class-tested material, is accessible to students at the advanced undergraduate and graduate level in physics and engineering. While its primary function is didactic, this book’s comprehensive choice of topics and its clear and authoritative synthesis of ideas make it a useful reference for researchers, device engineers, and course instructors who wish to consolidate their knowledge of this field. The book takes the semi-classical approach where light is treated as a wave in accordance with the classical Maxwell equations, while matter is governed by quantum theory. It begins by introducing the postulates and mathematical framework of quantum theory, followed by the formalism of the density matrix which allows the transition from microscopic (quantum) quantities to macroscopic (classical) ones. Consequently, the equations describing the reaction of matter to the electromagnetic field in the form of polarization, magnetization, and current are derived. These equations (together with the Maxwell equations) form the complete system of equations sufficient to model a wide class of problems surrounding linear and nonlinear interactions of electromagnetic fields with matter. The nonlinear character of the governing equations determines parameters of the steady-state mode of the quantum generator and is also demonstrated in harmonic generation via propagation of laser radiation in various media. The touchstone description of magnetic phenomena will be of interest to scientists who deal with applications of magneto-resonance phenomena in biology and medicine. Other advanced topics covered include electric dipole transitions, magnetic dipole transitions, plasma transitions, and the devices that can be based on these and other electro-optical and nonlinear-optical systems. This textbook features numerous exercises, some of which are investigatory and some of which require computational solutions.

This book grew out of a 2-semester graduate course in laser physics and quantum optics. It requires a solid understanding of elementary electro magnetism as well as at least one, but preferably two, semesters of quantum mechanics. Its present form resulted from many years of teaching and research at the University of Arizona, the Max-Planck-Institut fiir Quanten optik, and the University of Munich. The contents have evolved signifi cantly over the years, due to the fact that quantum optics is a rapidly chang ing field. Because the amount of material that can be covered in two semes ters is finite, a number of topics had to be left out or shortened when new material was added. Important omissions include the manipulation of atomic trajectories by light, superradiance, and descriptions of experiments. Rather than treating any given topic in great depth, this book aims to give a broad coverage of the basic elements that we consider necessary to carry out research in quantum optics. We have attempted to present a vari ety of theoretical tools, so that after completion of the course students should be able to understand specialized research literature and to produce original research of their own. In doing so, we have always sacrificed rigor to physical insight and have used the concept of "simplest nontrivial exam ple" to illustrate techniques or results that can be generalized to more com plicated situations.