Generalized Coherent States And Their Applications In Quantum Optics

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Generalized Coherent States and Their Applications

Author : Askold Perelomov
Publisher : Springer Science & Business Media
ISBN 13 : 3642616291
Total Pages : 323 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Generalized Coherent States and Their Applications by : Askold Perelomov

Download or read book Generalized Coherent States and Their Applications written by Askold Perelomov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph treats an extensively developed field in modern mathematical physics - the theory of generalized coherent states and their applications to various physical problems. Coherent states, introduced originally by Schrodinger and von Neumann, were later employed by Glauber for a quantal description of laser light beams. The concept was generalized by the author for an arbitrary Lie group. In the last decade the formalism has been widely applied to various domains of theoretical physics and mathematics. The area of applications of generalized coherent states is very wide, and a comprehensive exposition of the results in the field would be helpful. This monograph is the first attempt toward this aim. My purpose was to compile and expound systematically the vast amount of material dealing with the coherent states and available through numerous journal articles. The book is based on a number of undergraduate and postgraduate courses I delivered at the Moscow Physico-Technical Institute. In its present form it is intended for professional mathematicians and theoretical physicists; it may also be useful for university students of mathematics and physics. In Part I the formalism is elaborated and explained for some of the simplest typical groups. Part II contains more sophisticated material; arbitrary Lie groups and symmetrical spaces are considered. A number of examples from various areas of theoretical and mathematical physics illustrate advantages of this approach, in Part III. It is a pleasure for me to thank Dr. Yu. Danilov for many useful remarks.

Coherent States

Author : John R. Klauder
Publisher : World Scientific
ISBN 13 : 9789971966522
Total Pages : 934 pages
Book Rating : 4.9/5 (665 download)

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Book Synopsis Coherent States by : John R. Klauder

Download or read book Coherent States written by John R. Klauder and published by World Scientific. This book was released on 1985 with total page 934 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a review on coherent states and some of their applications. The usefulness of the concept of coherent states is illustrated by considering specific examples from the fields of physics and mathematical physics. Particular emphasis is given to a general historical introduction, general continuous representations, generalized coherent states, classical and quantum correspondence, path integrals and canonical formalism. Applications are considered in quantum mechanics, optics, quantum chemistry, atomic physics, statistical physics, nuclear physics, particle physics and cosmology. A selection of original papers is reprinted.

Coherent States and Applications in Mathematical Physics

Author : Monique Combescure
Publisher : Springer Science & Business Media
ISBN 13 : 9400701950
Total Pages : 419 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Coherent States and Applications in Mathematical Physics by : Monique Combescure

Download or read book Coherent States and Applications in Mathematical Physics written by Monique Combescure and published by Springer Science & Business Media. This book was released on 2012-02 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the various types of coherent states introduced and studied in the physics and mathematics literature and describes their properties together with application to quantum physics problems. It is intended to serve as a compendium on coherent states and their applications for physicists and mathematicians, stretching from the basic mathematical structures of generalized coherent states in the sense of Perelomov via the semiclassical evolution of coherent states to various specific examples of coherent states (hydrogen atom, quantum oscillator, ...).

Geometry of Quantum States

Author : Ingemar Bengtsson
Publisher : Cambridge University Press
ISBN 13 : 1108293492
Total Pages : 637 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis Geometry of Quantum States by : Ingemar Bengtsson

Download or read book Geometry of Quantum States written by Ingemar Bengtsson and published by Cambridge University Press. This book was released on 2017-08-18 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum information theory is a branch of science at the frontier of physics, mathematics, and information science, and offers a variety of solutions that are impossible using classical theory. This book provides a detailed introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. The second edition contains new sections and entirely new chapters: the hot topic of multipartite entanglement; in-depth discussion of the discrete structures in finite dimensional Hilbert space, including unitary operator bases, mutually unbiased bases, symmetric informationally complete generalized measurements, discrete Wigner function, and unitary designs; the Gleason and Kochen–Specker theorems; the proof of the Lieb conjecture; the measure concentration phenomenon; and the Hastings' non-additivity theorem. This richly-illustrated book will be useful to a broad audience of graduates and researchers interested in quantum information theory. Exercises follow each chapter, with hints and answers supplied.

Coherent States and Their Applications

Author : Jean-Pierre Antoine
Publisher : Springer
ISBN 13 : 3319767321
Total Pages : 350 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Coherent States and Their Applications by : Jean-Pierre Antoine

Download or read book Coherent States and Their Applications written by Jean-Pierre Antoine and published by Springer. This book was released on 2018-06-01 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Coherent states (CS) were originally introduced in 1926 by Schrödinger and rediscovered in the early 1960s in the context of laser physics. Since then, they have evolved into an extremely rich domain that pervades virtually every corner of physics, and have also given rise to a range of research topics in mathematics. The purpose of the 2016 CIRM conference was to bring together leading experts in the field with scientists interested in related topics, to jointly investigate their applications in physics, their various mathematical properties, and their generalizations in many directions. Instead of traditional proceedings, this book presents sixteen longer review-type contributions, which are the outcome of a collaborative effort by many conference participants, subsequently reviewed by independent experts. The book aptly illustrates the diversity of CS aspects, from purely mathematical topics to physical applications, including quantum gravity.

Introductory Quantum Optics

Author : Christopher Gerry
Publisher : Cambridge University Press
ISBN 13 : 9780521527354
Total Pages : 338 pages
Book Rating : 4.5/5 (273 download)

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Book Synopsis Introductory Quantum Optics by : Christopher Gerry

Download or read book Introductory Quantum Optics written by Christopher Gerry and published by Cambridge University Press. This book was released on 2005 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Semiconductor Quantum Optics

Author : Mackillo Kira
Publisher : Cambridge University Press
ISBN 13 : 1139502514
Total Pages : 658 pages
Book Rating : 4.1/5 (395 download)

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Book Synopsis Semiconductor Quantum Optics by : Mackillo Kira

Download or read book Semiconductor Quantum Optics written by Mackillo Kira and published by Cambridge University Press. This book was released on 2011-11-17 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: The emerging field of semiconductor quantum optics combines semiconductor physics and quantum optics, with the aim of developing quantum devices with unprecedented performance. In this book researchers and graduate students alike will reach a new level of understanding to begin conducting state-of-the-art investigations. The book combines theoretical methods from quantum optics and solid-state physics to give a consistent microscopic description of light-matter- and many-body-interaction effects in low-dimensional semiconductor nanostructures. It develops the systematic theory needed to treat semiconductor quantum-optical effects, such as strong light-matter coupling, light-matter entanglement, squeezing, as well as quantum-optical semiconductor spectroscopy. Detailed derivations of key equations help readers learn the techniques and nearly 300 exercises help test their understanding of the materials covered. The book is accompanied by a website hosted by the authors, containing further discussions on topical issues, latest trends and publications on the field. The link can be found at www.cambridge.org/9780521875097.

A Guide to Experiments in Quantum Optics

Author : Hans-A. Bachor
Publisher : John Wiley & Sons
ISBN 13 : 3527411933
Total Pages : 588 pages
Book Rating : 4.5/5 (274 download)

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Book Synopsis A Guide to Experiments in Quantum Optics by : Hans-A. Bachor

Download or read book A Guide to Experiments in Quantum Optics written by Hans-A. Bachor and published by John Wiley & Sons. This book was released on 2019-10-28 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Information Theory

Author : Mark Wilde
Publisher : Cambridge University Press
ISBN 13 : 1107034256
Total Pages : 673 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Quantum Information Theory by : Mark Wilde

Download or read book Quantum Information Theory written by Mark Wilde and published by Cambridge University Press. This book was released on 2013-04-18 with total page 673 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained, graduate-level textbook that develops from scratch classical results as well as advances of the past decade.

Mathematical Methods of Quantum Optics

Author : Ravinder R. Puri
Publisher : Springer
ISBN 13 : 3540449531
Total Pages : 291 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Mathematical Methods of Quantum Optics by : Ravinder R. Puri

Download or read book Mathematical Methods of Quantum Optics written by Ravinder R. Puri and published by Springer. This book was released on 2012-11-02 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from first principles, this reference treats the theoretical aspects of quantum optics. It develops a unified approach for determining the dynamics of a two-level and three-level atom in combinations of quantized field under certain conditions.

Path Integrals and Coherent States of SU(2) and SU(1,1)

Author : Akira Inomata
Publisher : World Scientific
ISBN 13 : 9789810206567
Total Pages : 338 pages
Book Rating : 4.2/5 (65 download)

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Book Synopsis Path Integrals and Coherent States of SU(2) and SU(1,1) by : Akira Inomata

Download or read book Path Integrals and Coherent States of SU(2) and SU(1,1) written by Akira Inomata and published by World Scientific. This book was released on 1992 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors examine several topical subjects, commencing with a general introduction to path integrals in quantum mechanics and the group theoretical backgrounds for path integrals. Applications of harmonic analysis, polar coordinate formulation, various techniques and path integrals on SU(2) and SU(1, 1) are discussed. Soluble examples presented include particle-flux system, a pulsed oscillator, magnetic monopole, the Coulomb problem in curved space and others.The second part deals with the SU(2) coherent states and their applications. Construction and generalization of the SU(2) coherent states, formulation of coherent path integrals for spin and unitary spin, and semiclassical quantization are presented. Applications are made to the study of quantum fluctuation, the nonlinear field model and phase holonomy.The final chapters present the theory of the SU(1, 1) coherent states and their applications. The radial coulomb problem, the Morse oscillator, and the large-N approximation are discussed. Applications to problems in quantum optics such as squeezed states, interaction with the squeezed vacuum states, and phase operator formalism are also included.This book will be useful as an introduction to the subject as well as a valuable work of reference.

Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics

Author : W.-H. Steeb
Publisher : Springer Science & Business Media
ISBN 13 : 9401153329
Total Pages : 247 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics by : W.-H. Steeb

Download or read book Hilbert Spaces, Wavelets, Generalised Functions and Modern Quantum Mechanics written by W.-H. Steeb and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a comprehensive introduction to modern quantum mechanics, emphasising the underlying Hilbert space theory and generalised function theory. All the major modern techniques and approaches used in quantum mechanics are introduced, such as Berry phase, coherent and squeezed states, quantum computing, solitons and quantum mechanics. Audience: The book is suitable for graduate students in physics and mathematics.

Introduction to Quantum Optics

Author : Gilbert Grynberg
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (729 download)

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Book Synopsis Introduction to Quantum Optics by : Gilbert Grynberg

Download or read book Introduction to Quantum Optics written by Gilbert Grynberg and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering a number of important subjects in quantum optics, this textbook is an excellent introduction for advanced undergraduate and beginning graduate students, familiarizing readers with the basic concepts and formalism as well as the most recent advances. The first part of the textbook covers the semi-classical approach where matter is quantized, but light is not. It describes significant phenomena in quantum optics, including the principles of lasers. The second part is devoted to the full quantum description of light and its interaction with matter, covering topics such as spontaneous emission, and classical and non-classical states of light. An overview of photon entanglement and applications to quantum information is also given. In the third part, non-linear optics and laser cooling of atoms are presented, where using both approaches allows for a comprehensive description. Each chapter describes basic concepts in detail, and more specific concepts and phenomena are presented in 'complements'.

Electromagnetic Noise and Quantum Optical Measurements

Author : Hermann A. Haus
Publisher : Springer Science & Business Media
ISBN 13 : 3662041901
Total Pages : 572 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Electromagnetic Noise and Quantum Optical Measurements by : Hermann A. Haus

Download or read book Electromagnetic Noise and Quantum Optical Measurements written by Hermann A. Haus and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "Haus’ book provides numerous insights on topics of wide importance, and contains much material not available elsewhere in book form. [...] an indispensable resource for those working in quantum optics or electronics." Optics & Photonics News

Quantum Theory of Optical Coherence

Author : Roy J. Glauber
Publisher : John Wiley & Sons
ISBN 13 : 3527406875
Total Pages : 658 pages
Book Rating : 4.5/5 (274 download)

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Book Synopsis Quantum Theory of Optical Coherence by : Roy J. Glauber

Download or read book Quantum Theory of Optical Coherence written by Roy J. Glauber and published by John Wiley & Sons. This book was released on 2007-04-09 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: A summary of the pioneering work of Glauber in the field of optical coherence phenomena and photon statistics, this book describes the fundamental ideas of modern quantum optics and photonics in a tutorial style. It is thus not only intended as a reference for researchers in the field, but also to give graduate students an insight into the basic theories of the field. Written by the Nobel Laureate himself, the concepts described in this book have formed the basis for three further Nobel Prizes in Physics within the last decade.

Phase in Optics

Author : Vlasta Pe?inov
Publisher : World Scientific
ISBN 13 : 9789810232085
Total Pages : 472 pages
Book Rating : 4.2/5 (32 download)

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Book Synopsis Phase in Optics by : Vlasta Pe?inov

Download or read book Phase in Optics written by Vlasta Pe?inov and published by World Scientific. This book was released on 1998 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of the quantum phase problem, characterized by renewed interest in the solution to the problem, is included and brought up to date.

Coherent States in Quantum Physics

Author : Jean-Pierre Gazeau
Publisher : Wiley-VCH
ISBN 13 : 3527628290
Total Pages : 384 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Coherent States in Quantum Physics by : Jean-Pierre Gazeau

Download or read book Coherent States in Quantum Physics written by Jean-Pierre Gazeau and published by Wiley-VCH. This book was released on 2009-09-03 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained introduction discusses the evolution of the notion of coherent states, from the early works of Schrödinger to the most recent advances, including signal analysis. An integrated and modern approach to the utility of coherent states in many different branches of physics, it strikes a balance between mathematical and physical descriptions. Split into two parts, the first introduces readers to the most familiar coherent states, their origin, their construction, and their application and relevance to various selected domains of physics. Part II, mostly based on recent original results, is devoted to the question of quantization of various sets through coherent states, and shows the link to procedures in signal analysis.