An Open Systems Approach to Quantum Optics

An Open Systems Approach to Quantum Optics

Author: Howard Carmichael

Publisher: Springer Science & Business Media

Published: 2009-02-17

Total Pages: 192

ISBN-13: 3540476202

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This volume contains ten lectures presented in the series ULB Lectures in Nonlinear Optics at the Universite Libre de Bruxelles during the period October 28 to November 4, 1991. A large part of the first six lectures is taken from material prepared for a book of somewhat larger scope which will be published,by Springer under the title Quantum Statistical Methods in Quantum Optics. The principal reason for the early publication of the present volume concerns the material contained in the last four lectures. Here I have put together, in a more or less systematic way, some ideas about the use of stochastic wavefunctions in the theory of open quantum optical systems. These ideas were developed with the help of two of my students, Murray Wolinsky and Liguang Tian, over a period of approximately two years. They are built on a foundation laid down in a paper written with Surendra Singh, Reeta Vyas, and Perry Rice on waiting-time distributions and wavefunction collapse in resonance fluorescence [Phys. Rev. A, 39, 1200 (1989)]. The ULB lecture notes contain my first serious atte~pt to give a complete account of the ideas and their potential applications. I am grateful to Professor Paul Mandel who, through his invitation to give the lectures, stimulated me to organize something useful out of work that may, otherwise, have waited considerably longer to be brought together.


Book Synopsis An Open Systems Approach to Quantum Optics by : Howard Carmichael

Download or read book An Open Systems Approach to Quantum Optics written by Howard Carmichael and published by Springer Science & Business Media. This book was released on 2009-02-17 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains ten lectures presented in the series ULB Lectures in Nonlinear Optics at the Universite Libre de Bruxelles during the period October 28 to November 4, 1991. A large part of the first six lectures is taken from material prepared for a book of somewhat larger scope which will be published,by Springer under the title Quantum Statistical Methods in Quantum Optics. The principal reason for the early publication of the present volume concerns the material contained in the last four lectures. Here I have put together, in a more or less systematic way, some ideas about the use of stochastic wavefunctions in the theory of open quantum optical systems. These ideas were developed with the help of two of my students, Murray Wolinsky and Liguang Tian, over a period of approximately two years. They are built on a foundation laid down in a paper written with Surendra Singh, Reeta Vyas, and Perry Rice on waiting-time distributions and wavefunction collapse in resonance fluorescence [Phys. Rev. A, 39, 1200 (1989)]. The ULB lecture notes contain my first serious atte~pt to give a complete account of the ideas and their potential applications. I am grateful to Professor Paul Mandel who, through his invitation to give the lectures, stimulated me to organize something useful out of work that may, otherwise, have waited considerably longer to be brought together.


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.


An Open Systems Approach to Quantum Optics

An Open Systems Approach to Quantum Optics

Author: Howard Carmichael

Publisher: Springer

Published: 1993-05-27

Total Pages: 182

ISBN-13: 9783540566342

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This volume contains ten lectures presented in the series ULB Lectures in Nonlinear Optics at the Universite Libre de Bruxelles during the period October 28 to November 4, 1991. A large part of the first six lectures is taken from material prepared for a book of somewhat larger scope which will be published,by Springer under the title Quantum Statistical Methods in Quantum Optics. The principal reason for the early publication of the present volume concerns the material contained in the last four lectures. Here I have put together, in a more or less systematic way, some ideas about the use of stochastic wavefunctions in the theory of open quantum optical systems. These ideas were developed with the help of two of my students, Murray Wolinsky and Liguang Tian, over a period of approximately two years. They are built on a foundation laid down in a paper written with Surendra Singh, Reeta Vyas, and Perry Rice on waiting-time distributions and wavefunction collapse in resonance fluorescence [Phys. Rev. A, 39, 1200 (1989)]. The ULB lecture notes contain my first serious atte~pt to give a complete account of the ideas and their potential applications. I am grateful to Professor Paul Mandel who, through his invitation to give the lectures, stimulated me to organize something useful out of work that may, otherwise, have waited considerably longer to be brought together.


Book Synopsis An Open Systems Approach to Quantum Optics by : Howard Carmichael

Download or read book An Open Systems Approach to Quantum Optics written by Howard Carmichael and published by Springer. This book was released on 1993-05-27 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains ten lectures presented in the series ULB Lectures in Nonlinear Optics at the Universite Libre de Bruxelles during the period October 28 to November 4, 1991. A large part of the first six lectures is taken from material prepared for a book of somewhat larger scope which will be published,by Springer under the title Quantum Statistical Methods in Quantum Optics. The principal reason for the early publication of the present volume concerns the material contained in the last four lectures. Here I have put together, in a more or less systematic way, some ideas about the use of stochastic wavefunctions in the theory of open quantum optical systems. These ideas were developed with the help of two of my students, Murray Wolinsky and Liguang Tian, over a period of approximately two years. They are built on a foundation laid down in a paper written with Surendra Singh, Reeta Vyas, and Perry Rice on waiting-time distributions and wavefunction collapse in resonance fluorescence [Phys. Rev. A, 39, 1200 (1989)]. The ULB lecture notes contain my first serious atte~pt to give a complete account of the ideas and their potential applications. I am grateful to Professor Paul Mandel who, through his invitation to give the lectures, stimulated me to organize something useful out of work that may, otherwise, have waited considerably longer to be brought together.


Open Quantum Systems

Open Quantum Systems

Author: Ángel Rivas

Publisher: Springer Science & Business Media

Published: 2011-10-01

Total Pages: 103

ISBN-13: 3642233546

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In this volume the fundamental theory of open quantum systems is revised in the light of modern developments in the field. A unified approach to the quantum evolution of open systems is presented by merging concepts and methods traditionally employed by different communities, such as quantum optics, condensed matter, chemical physics and mathematical physics. The mathematical structure and the general properties of the dynamical maps underlying open system dynamics are explained in detail. The microscopic derivation of dynamical equations, including both Markovian and non-Markovian evolutions, is also discussed. Because of the step-by-step explanations, this work is a useful reference to novices in this field. However, experienced researches can also benefit from the presentation of recent results.


Book Synopsis Open Quantum Systems by : Ángel Rivas

Download or read book Open Quantum Systems written by Ángel Rivas and published by Springer Science & Business Media. This book was released on 2011-10-01 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume the fundamental theory of open quantum systems is revised in the light of modern developments in the field. A unified approach to the quantum evolution of open systems is presented by merging concepts and methods traditionally employed by different communities, such as quantum optics, condensed matter, chemical physics and mathematical physics. The mathematical structure and the general properties of the dynamical maps underlying open system dynamics are explained in detail. The microscopic derivation of dynamical equations, including both Markovian and non-Markovian evolutions, is also discussed. Because of the step-by-step explanations, this work is a useful reference to novices in this field. However, experienced researches can also benefit from the presentation of recent results.


Fundamentals of Quantum Optics

Fundamentals of Quantum Optics

Author: Perry Rice

Publisher: Iop Expanding Physics

Published: 2020-09-07

Total Pages: 300

ISBN-13: 9780750317115

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This book introduces the quantum statistical methods used in quantum physics and is an essential guide for any student beginning their studies in quantum physics.


Book Synopsis Fundamentals of Quantum Optics by : Perry Rice

Download or read book Fundamentals of Quantum Optics written by Perry Rice and published by Iop Expanding Physics. This book was released on 2020-09-07 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the quantum statistical methods used in quantum physics and is an essential guide for any student beginning their studies in quantum physics.


INTRODUCTION TO QUANTUM OPTICS

INTRODUCTION TO QUANTUM OPTICS

Author: PERRY. RICE

Publisher:

Published: 2024

Total Pages: 0

ISBN-13: 9780750360128

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Book Synopsis INTRODUCTION TO QUANTUM OPTICS by : PERRY. RICE

Download or read book INTRODUCTION TO QUANTUM OPTICS written by PERRY. RICE and published by . This book was released on 2024 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:


The Theory of Open Quantum Systems

The Theory of Open Quantum Systems

Author: Heinz-Peter Breuer

Publisher: Oxford University Press, USA

Published: 2002

Total Pages: 648

ISBN-13: 9780198520634

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This book treats the central physical concepts and mathematical techniques used to investigate the dynamics of open quantum systems. To provide a self-contained presentation the text begins with a survey of classical probability theory and with an introduction into the foundations of quantum mechanics with particular emphasis on its statistical interpretation. The fundamentals of density matrix theory, quantum Markov processes and dynamical semigroups are developed. The most important master equations used in quantum optics and in the theory of quantum Brownian motion are applied to the study of many examples. Special attention is paid to the theory of environment induced decoherence, its role in the dynamical description of the measurement process and to the experimental observation of decohering Schrodinger cat states. The book includes the modern formulation of open quantum systems in terms of stochastic processes in Hilbert space. Stochastic wave function methods and Monte Carlo algorithms are designed and applied to important examples from quantum optics and atomic physics, such as Levy statistics in the laser cooling of atoms, and the damped Jaynes-Cummings model. The basic features of the non-Markovian quantum behaviour of open systems are examined on the basis of projection operator techniques. In addition, the book expounds the relativistic theory of quantum measurements and discusses several examples from a unified perspective, e.g. non-local measurements and quantum teleportation. Influence functional and super-operator techniques are employed to study the density matrix theory in quantum electrodynamics and applications to the destruction of quantum coherence are presented. The text addresses graduate students and lecturers in physics and applied mathematics, as well as researchers with interests in fundamental questions in quantum mechanics and its applications. Many analytical methods and computer simulation techniques are developed and illustrated with the help of numerous specific examples. Only a basic understanding of quantum mechanics and of elementary concepts of probability theory is assumed.


Book Synopsis The Theory of Open Quantum Systems by : Heinz-Peter Breuer

Download or read book The Theory of Open Quantum Systems written by Heinz-Peter Breuer and published by Oxford University Press, USA. This book was released on 2002 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book treats the central physical concepts and mathematical techniques used to investigate the dynamics of open quantum systems. To provide a self-contained presentation the text begins with a survey of classical probability theory and with an introduction into the foundations of quantum mechanics with particular emphasis on its statistical interpretation. The fundamentals of density matrix theory, quantum Markov processes and dynamical semigroups are developed. The most important master equations used in quantum optics and in the theory of quantum Brownian motion are applied to the study of many examples. Special attention is paid to the theory of environment induced decoherence, its role in the dynamical description of the measurement process and to the experimental observation of decohering Schrodinger cat states. The book includes the modern formulation of open quantum systems in terms of stochastic processes in Hilbert space. Stochastic wave function methods and Monte Carlo algorithms are designed and applied to important examples from quantum optics and atomic physics, such as Levy statistics in the laser cooling of atoms, and the damped Jaynes-Cummings model. The basic features of the non-Markovian quantum behaviour of open systems are examined on the basis of projection operator techniques. In addition, the book expounds the relativistic theory of quantum measurements and discusses several examples from a unified perspective, e.g. non-local measurements and quantum teleportation. Influence functional and super-operator techniques are employed to study the density matrix theory in quantum electrodynamics and applications to the destruction of quantum coherence are presented. The text addresses graduate students and lecturers in physics and applied mathematics, as well as researchers with interests in fundamental questions in quantum mechanics and its applications. Many analytical methods and computer simulation techniques are developed and illustrated with the help of numerous specific examples. Only a basic understanding of quantum mechanics and of elementary concepts of probability theory is assumed.


Open Quantum Systems

Open Quantum Systems

Author: Subhashish Banerjee

Publisher: Springer

Published: 2018-11-01

Total Pages: 278

ISBN-13: 9811331820

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This book discusses the elementary ideas and tools needed for open quantum systems in a comprehensive manner. The emphasis is given to both the traditional master equation as well as the functional (path) integral approaches. It discusses the basic paradigm of open systems, the harmonic oscillator and the two-level system in detail. The traditional topics of dissipation and tunneling, as well as the modern field of quantum information, find a prominent place in the book. Assuming a basic background of quantum and statistical mechanics, this book will help readers familiarize with the basic tools of open quantum systems. Open quantum systems is the study of quantum dynamics of the system of interest, taking into account the effects of the ambient environment. It is ubiquitous in the sense that any system could be envisaged to be surrounded by its environment which could naturally exert its influence on it. Open quantum systems allows for a systematic understanding of irreversible processes such as decoherence and dissipation, of the essence in order to have a correct understanding of realistic quantum dynamics and also for possible implementations. This would be essential for a possible development of quantum technologies.


Book Synopsis Open Quantum Systems by : Subhashish Banerjee

Download or read book Open Quantum Systems written by Subhashish Banerjee and published by Springer. This book was released on 2018-11-01 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the elementary ideas and tools needed for open quantum systems in a comprehensive manner. The emphasis is given to both the traditional master equation as well as the functional (path) integral approaches. It discusses the basic paradigm of open systems, the harmonic oscillator and the two-level system in detail. The traditional topics of dissipation and tunneling, as well as the modern field of quantum information, find a prominent place in the book. Assuming a basic background of quantum and statistical mechanics, this book will help readers familiarize with the basic tools of open quantum systems. Open quantum systems is the study of quantum dynamics of the system of interest, taking into account the effects of the ambient environment. It is ubiquitous in the sense that any system could be envisaged to be surrounded by its environment which could naturally exert its influence on it. Open quantum systems allows for a systematic understanding of irreversible processes such as decoherence and dissipation, of the essence in order to have a correct understanding of realistic quantum dynamics and also for possible implementations. This would be essential for a possible development of quantum technologies.


Quantum Optics

Quantum Optics

Author: Marlan O. Scully

Publisher: Cambridge University Press

Published: 1997-09-04

Total Pages: 664

ISBN-13: 9780521435956

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


Book Synopsis Quantum Optics by : Marlan O. Scully

Download or read book Quantum Optics written by Marlan O. Scully and published by Cambridge University Press. This book was released on 1997-09-04 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth and wide-ranging introduction to the field of quantum optics.


Statistical Methods in Quantum Optics 1

Statistical Methods in Quantum Optics 1

Author: Howard J. Carmichael

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 384

ISBN-13: 3662038757

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This is the first of a two-volume presentation on current research problems in quantum optics, and will serve as a standard reference in the field for many years to come. The book provides an introduction to the methods of quantum statistical mechanics used in quantum optics and their application to the quantum theories of the single-mode laser and optical bistability. The generalized representations of Drummond and Gardiner are discussed together with the more standard methods for deriving Fokker-Planck equations.


Book Synopsis Statistical Methods in Quantum Optics 1 by : Howard J. Carmichael

Download or read book Statistical Methods in Quantum Optics 1 written by Howard J. Carmichael and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of a two-volume presentation on current research problems in quantum optics, and will serve as a standard reference in the field for many years to come. The book provides an introduction to the methods of quantum statistical mechanics used in quantum optics and their application to the quantum theories of the single-mode laser and optical bistability. The generalized representations of Drummond and Gardiner are discussed together with the more standard methods for deriving Fokker-Planck equations.