A Group-Theoretical Approach to Quantum Optics

A Group-Theoretical Approach to Quantum Optics

Author: Andrei B. Klimov

Publisher: John Wiley & Sons

Published: 2009-08-04

Total Pages: 331

ISBN-13: 3527624015

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Written by major contributors to the field who are well known within the community, this is the first comprehensive summary of the many results generated by this approach to quantum optics to date. As such, the book analyses selected topics of quantum optics, focusing on atom-field interactions from a group-theoretical perspective, while discussing the principal quantum optics models using algebraic language. The overall result is a clear demonstration of the advantages of applying algebraic methods to quantum optics problems, illustrated by a number of end-of-chapter problems. An invaluable source for atomic physicists, graduates and students in physics.


Book Synopsis A Group-Theoretical Approach to Quantum Optics by : Andrei B. Klimov

Download or read book A Group-Theoretical Approach to Quantum Optics written by Andrei B. Klimov and published by John Wiley & Sons. This book was released on 2009-08-04 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by major contributors to the field who are well known within the community, this is the first comprehensive summary of the many results generated by this approach to quantum optics to date. As such, the book analyses selected topics of quantum optics, focusing on atom-field interactions from a group-theoretical perspective, while discussing the principal quantum optics models using algebraic language. The overall result is a clear demonstration of the advantages of applying algebraic methods to quantum optics problems, illustrated by a number of end-of-chapter problems. An invaluable source for atomic physicists, graduates and students in physics.

A Group Theoretic Approach to Quantum Information

A Group Theoretic Approach to Quantum Information

Author: Masahito Hayashi

Publisher: Springer

Published: 2016-10-31

Total Pages: 228

ISBN-13: 331945241X

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This book is the first one addressing quantum information from the viewpoint of group symmetry. Quantum systems have a group symmetrical structure. This structure enables to handle systematically quantum information processing. However, there is no other textbook focusing on group symmetry for quantum information although there exist many textbooks for group representation. After the mathematical preparation of quantum information, this book discusses quantum entanglement and its quantification by using group symmetry. Group symmetry drastically simplifies the calculation of several entanglement measures although their calculations are usually very difficult to handle. This book treats optimal information processes including quantum state estimation, quantum state cloning, estimation of group action and quantum channel etc. Usually it is very difficult to derive the optimal quantum information processes without asymptotic setting of these topics. However, group symmetry allows to derive these optimal solutions without assuming the asymptotic setting. Next, this book addresses the quantum error correcting code with the symmetric structure of Weyl-Heisenberg groups. This structure leads to understand the quantum error correcting code systematically. Finally, this book focuses on the quantum universal information protocols by using the group SU(d). This topic can be regarded as a quantum version of the Csiszar-Korner's universal coding theory with the type method. The required mathematical knowledge about group representation is summarized in the companion book, Group Representation for Quantum Theory.


Book Synopsis A Group Theoretic Approach to Quantum Information by : Masahito Hayashi

Download or read book A Group Theoretic Approach to Quantum Information written by Masahito Hayashi and published by Springer. This book was released on 2016-10-31 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first one addressing quantum information from the viewpoint of group symmetry. Quantum systems have a group symmetrical structure. This structure enables to handle systematically quantum information processing. However, there is no other textbook focusing on group symmetry for quantum information although there exist many textbooks for group representation. After the mathematical preparation of quantum information, this book discusses quantum entanglement and its quantification by using group symmetry. Group symmetry drastically simplifies the calculation of several entanglement measures although their calculations are usually very difficult to handle. This book treats optimal information processes including quantum state estimation, quantum state cloning, estimation of group action and quantum channel etc. Usually it is very difficult to derive the optimal quantum information processes without asymptotic setting of these topics. However, group symmetry allows to derive these optimal solutions without assuming the asymptotic setting. Next, this book addresses the quantum error correcting code with the symmetric structure of Weyl-Heisenberg groups. This structure leads to understand the quantum error correcting code systematically. Finally, this book focuses on the quantum universal information protocols by using the group SU(d). This topic can be regarded as a quantum version of the Csiszar-Korner's universal coding theory with the type method. The required mathematical knowledge about group representation is summarized in the companion book, Group Representation for Quantum Theory.

Phase Space Picture of Quantum Mechanics

Phase Space Picture of Quantum Mechanics

Author: Y S Kim

Publisher: World Scientific

Published: 1991-03-06

Total Pages: 352

ISBN-13: 9814506672

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This book covers the theory and applications of the Wigner phase space distribution function and its symmetry properties. The book explains why the phase space picture of quantum mechanics is needed, in addition to the conventional Schrödinger or Heisenberg picture. It is shown that the uncertainty relation can be represented more accurately in this picture. In addition, the phase space picture is shown to be the natural representation of quantum mechanics for modern optics and relativistic quantum mechanics of extended objects. Contents:Phase Space in Classical MechanicsForms of Quantum MechanicsWigner Phase- Space Distribution FunctionsLinear Canonical Transformations in Quantum MechanicsCoherent and Squeezed StatesPhase-Space Picture of Coherent and Squeezed StatesLorentz TransformationsCovariant Harmonic OscillatorsLorentz-Squeezed HadronsSpace-Time Geometry of Extended Particles Readership: Physicists, applied physicists and mathematical physicists. keywords:Lorentz Transformations;Wigner's Little Groups;Quantum Optics;Relativistic Quantum Mechanics;Phase Space;Wigner Function;Squeezed States;Feynman's Parton Picture;Covariant Harmonic Oscillators;Space-Time Geometry;Hadrons;Group Theory “… if Casimir invariants and Lorentz groups excite you, you'll be at home in Kim and Noz's lecture notes…” Contemporary Physics


Book Synopsis Phase Space Picture of Quantum Mechanics by : Y S Kim

Download or read book Phase Space Picture of Quantum Mechanics written by Y S Kim and published by World Scientific. This book was released on 1991-03-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the theory and applications of the Wigner phase space distribution function and its symmetry properties. The book explains why the phase space picture of quantum mechanics is needed, in addition to the conventional Schrödinger or Heisenberg picture. It is shown that the uncertainty relation can be represented more accurately in this picture. In addition, the phase space picture is shown to be the natural representation of quantum mechanics for modern optics and relativistic quantum mechanics of extended objects. Contents:Phase Space in Classical MechanicsForms of Quantum MechanicsWigner Phase- Space Distribution FunctionsLinear Canonical Transformations in Quantum MechanicsCoherent and Squeezed StatesPhase-Space Picture of Coherent and Squeezed StatesLorentz TransformationsCovariant Harmonic OscillatorsLorentz-Squeezed HadronsSpace-Time Geometry of Extended Particles Readership: Physicists, applied physicists and mathematical physicists. keywords:Lorentz Transformations;Wigner's Little Groups;Quantum Optics;Relativistic Quantum Mechanics;Phase Space;Wigner Function;Squeezed States;Feynman's Parton Picture;Covariant Harmonic Oscillators;Space-Time Geometry;Hadrons;Group Theory “… if Casimir invariants and Lorentz groups excite you, you'll be at home in Kim and Noz's lecture notes…” Contemporary Physics

Introductory Quantum Optics

Introductory Quantum Optics

Author: Christopher C. Gerry

Publisher: Cambridge University Press

Published: 2023-11-30

Total Pages: 432

ISBN-13: 1009463616

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This established textbook provides an accessible but comprehensive introduction to the quantum nature of light and its interaction with matter. The field of quantum optics is covered with clarity and depth, from the underlying theoretical framework of field quantization, atom–field interactions, and quantum coherence theory, to important and modern applications at the forefront of current research such as quantum interferometry, squeezed light, quantum entanglement, cavity quantum electrodynamics, laser-cooled trapped ions, and quantum information processing. The text is suitable for advanced undergraduate and graduate students and would be an ideal main text for a course on quantum optics. This long-awaited second edition builds upon the success of the first edition, including many new developments in the field, particularly in the area of quantum state engineering. Additional homework problems have been added, and content from the first edition has been updated and clarified throughout.


Book Synopsis Introductory Quantum Optics by : Christopher C. Gerry

Download or read book Introductory Quantum Optics written by Christopher C. Gerry and published by Cambridge University Press. This book was released on 2023-11-30 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This established textbook provides an accessible but comprehensive introduction to the quantum nature of light and its interaction with matter. The field of quantum optics is covered with clarity and depth, from the underlying theoretical framework of field quantization, atom–field interactions, and quantum coherence theory, to important and modern applications at the forefront of current research such as quantum interferometry, squeezed light, quantum entanglement, cavity quantum electrodynamics, laser-cooled trapped ions, and quantum information processing. The text is suitable for advanced undergraduate and graduate students and would be an ideal main text for a course on quantum optics. This long-awaited second edition builds upon the success of the first edition, including many new developments in the field, particularly in the area of quantum state engineering. Additional homework problems have been added, and content from the first edition has been updated and clarified throughout.

Quantum Electrodynamics and Quantum Optics

Quantum Electrodynamics and Quantum Optics

Author: A. O. Barut

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 466

ISBN-13: 1461327830

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The borderline of quantum electrodynamics and quantum optics offer spectacular results and problems concerning the foundations of radiation theory. Perhaps the major new viewpoint that has emerged from recent investigations is that one can now work inside a time-dependent quantum process, whereas up to now all elementary quantum processes were either stationary, or one worked with asymptotic in-and out-states, i.e. an S-matrix approach. In the-rirst part of this volume, the Quantum Electrodynamics, the present status of the main approaches to this most accurate of all physical theories are discussed: the Hamiltonian approach, the Green's function approach with particular emphasis to bound state problems, and the newer, nonperturbative approach. The latest numerical results on radiative corrections, Lamb shifts and anomalous magnetic moments are reviewed with new results for high Z atoms. Also discussed are different theoretical interpretations of the radiative phenomena as due to quantized field vacuum fluctuations or due to self energy. A small group of contributions are devoted to the physics and mathematical description of decaying or unstable states in quantum theory. This remarkable phenomenon of quantum theory still needs complete clarification, it is a time-dependent phenomenon, which can be described also by asymptotic S-matrix methods, but with complex energies.


Book Synopsis Quantum Electrodynamics and Quantum Optics by : A. O. Barut

Download or read book Quantum Electrodynamics and Quantum Optics written by A. O. Barut and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: The borderline of quantum electrodynamics and quantum optics offer spectacular results and problems concerning the foundations of radiation theory. Perhaps the major new viewpoint that has emerged from recent investigations is that one can now work inside a time-dependent quantum process, whereas up to now all elementary quantum processes were either stationary, or one worked with asymptotic in-and out-states, i.e. an S-matrix approach. In the-rirst part of this volume, the Quantum Electrodynamics, the present status of the main approaches to this most accurate of all physical theories are discussed: the Hamiltonian approach, the Green's function approach with particular emphasis to bound state problems, and the newer, nonperturbative approach. The latest numerical results on radiative corrections, Lamb shifts and anomalous magnetic moments are reviewed with new results for high Z atoms. Also discussed are different theoretical interpretations of the radiative phenomena as due to quantized field vacuum fluctuations or due to self energy. A small group of contributions are devoted to the physics and mathematical description of decaying or unstable states in quantum theory. This remarkable phenomenon of quantum theory still needs complete clarification, it is a time-dependent phenomenon, which can be described also by asymptotic S-matrix methods, but with complex energies.

Introduction to Quantum Optics

Introduction to Quantum Optics

Author: Gilbert Grynberg

Publisher: Cambridge University Press

Published: 2010-09-02

Total Pages:

ISBN-13: 1139490842

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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'.


Book Synopsis Introduction to Quantum Optics by : Gilbert Grynberg

Download or read book Introduction to Quantum Optics written by Gilbert Grynberg and published by Cambridge University Press. This book was released on 2010-09-02 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'.

An Introduction to Quantum Optics

An Introduction to Quantum Optics

Author: Perry R. Rice

Publisher:

Published: 2020

Total Pages: 0

ISBN-13: 9780750317139

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"This book provides a solid pedagogical background in the techniques used in quantum optics, with an emphasis on open quantum systems. Suitable for undergraduates as a second semester quantum mechanics course or first year graduate students, this book begins with a short summary of quantum mechanics and contains physics of open systems and their application to light/matter interactions. Written in a simplified manner and classroom tested, this book provides the fundamentals of quantum optics and includes recent developments in the field." -- Prové de l'editor.


Book Synopsis An Introduction to Quantum Optics by : Perry R. Rice

Download or read book An Introduction to Quantum Optics written by Perry R. Rice and published by . This book was released on 2020 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book provides a solid pedagogical background in the techniques used in quantum optics, with an emphasis on open quantum systems. Suitable for undergraduates as a second semester quantum mechanics course or first year graduate students, this book begins with a short summary of quantum mechanics and contains physics of open systems and their application to light/matter interactions. Written in a simplified manner and classroom tested, this book provides the fundamentals of quantum optics and includes recent developments in the field." -- Prové de l'editor.

Quantum Optics

Quantum Optics

Author: Anthony Mark Fox

Publisher: Oxford University Press

Published: 2006-04-27

Total Pages: 397

ISBN-13: 0198566727

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Written primarily for advanced undergraduate and Master's level students in physics, this text includes a broad range of topics in applied quantum optics such as laser cooling, Bose-Einstein condensation and quantum information processing.


Book Synopsis Quantum Optics by : Anthony Mark Fox

Download or read book Quantum Optics written by Anthony Mark Fox and published by Oxford University Press. This book was released on 2006-04-27 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written primarily for advanced undergraduate and Master's level students in physics, this text includes a broad range of topics in applied quantum optics such as laser cooling, Bose-Einstein condensation and quantum information processing.

Quantum Optics for Experimentalists

Quantum Optics for Experimentalists

Author: Zheyu Jeff Ou

Publisher: World Scientific Publishing Company

Published: 2017-05-30

Total Pages: 432

ISBN-13: 9813220228

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This book on quantum optics is from the point of view of an experimentalist. It approaches the theory of quantum optics with the language of optical modes of classical wave theory, with which experimentalists are most familiar. This approach makes the transition easy from classical optics to quantum optics. The emphasis on the multimode description of an optical system is more realistic than in most quantum optics textbooks. After the theoretical part, the book goes directly to the two most basic experimental techniques in quantum optics and establishes the connection between the experiments and the theory. The applications include some key quantum optics experiments, and a few more current interests that deal with quantum correlation and entanglement, quantum noise in phase measurement and amplification, and quantum state measurement. Request Inspection Copy Contents: Theoretical Foundations of Quantum Optics:Historical Development of Quantum Optics and A Brief IntroductionMode Theory of Optical Fields and Their QuantizationQuantum States of Single-Mode FieldsQuantum States of Multi-Mode FieldsTheory of Photo-detection and Quantum Theory of CoherenceGeneration and Transformation of Quantum StatesExperimental Techniques in Quantum Optics and Their Applications:Experimental Techniques of Quantum Optics I: Photon Counting TechniqueApplications of Photon Counting Techniques: Multi-Photon Interference and EntanglementExperimental Techniques of Quantum Optics II: Detection of Continuous Photo-CurrentsApplications of Homodyne Detection Technique: Quantum Measurement of Continuous VariablesQuantum Noise in Phase MeasurementAppendices:Derivation of an Explicit Expression for Û of a Lossless Beam SplitterEvaluation of the Two Sums in Eq. (8.100) Readership: Advanced undergraduates, graduate students and researchers in quantum optics.


Book Synopsis Quantum Optics for Experimentalists by : Zheyu Jeff Ou

Download or read book Quantum Optics for Experimentalists written by Zheyu Jeff Ou and published by World Scientific Publishing Company. This book was released on 2017-05-30 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on quantum optics is from the point of view of an experimentalist. It approaches the theory of quantum optics with the language of optical modes of classical wave theory, with which experimentalists are most familiar. This approach makes the transition easy from classical optics to quantum optics. The emphasis on the multimode description of an optical system is more realistic than in most quantum optics textbooks. After the theoretical part, the book goes directly to the two most basic experimental techniques in quantum optics and establishes the connection between the experiments and the theory. The applications include some key quantum optics experiments, and a few more current interests that deal with quantum correlation and entanglement, quantum noise in phase measurement and amplification, and quantum state measurement. Request Inspection Copy Contents: Theoretical Foundations of Quantum Optics:Historical Development of Quantum Optics and A Brief IntroductionMode Theory of Optical Fields and Their QuantizationQuantum States of Single-Mode FieldsQuantum States of Multi-Mode FieldsTheory of Photo-detection and Quantum Theory of CoherenceGeneration and Transformation of Quantum StatesExperimental Techniques in Quantum Optics and Their Applications:Experimental Techniques of Quantum Optics I: Photon Counting TechniqueApplications of Photon Counting Techniques: Multi-Photon Interference and EntanglementExperimental Techniques of Quantum Optics II: Detection of Continuous Photo-CurrentsApplications of Homodyne Detection Technique: Quantum Measurement of Continuous VariablesQuantum Noise in Phase MeasurementAppendices:Derivation of an Explicit Expression for Û of a Lossless Beam SplitterEvaluation of the Two Sums in Eq. (8.100) Readership: Advanced undergraduates, graduate students and researchers in quantum optics.

Lectures on Quantum Optics

Lectures on Quantum Optics

Author: Werner Vogel

Publisher: Wiley-VCH

Published: 1994-07-12

Total Pages: 453

ISBN-13: 9783527400119

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In this book, the fundamentals of quantum optics are introduced in a sufficient depth for their practical application and for an understanding and treatment of specialized problems arising in recent research. On the basis of a general quantum-field-theoretical approach, the topics are presented in a unified manner.


Book Synopsis Lectures on Quantum Optics by : Werner Vogel

Download or read book Lectures on Quantum Optics written by Werner Vogel and published by Wiley-VCH. This book was released on 1994-07-12 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the fundamentals of quantum optics are introduced in a sufficient depth for their practical application and for an understanding and treatment of specialized problems arising in recent research. On the basis of a general quantum-field-theoretical approach, the topics are presented in a unified manner.