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Author: Heinz-Peter Breuer
Publisher: Springer Science & Business Media
ISBN: 9783540659785
Category : Science
Languages : en
Pages : 256
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Book Description
This book treats modern aspects of open systems, measurement, and decoherence in relativistic quantum theory. It starts with a comprehensive introduction to the problems related to measuring local and nonlocal observables and the constraints imposed by the causality principle. In the articles that follow, the emphasis lies on new theoretical models. Quantum dynamical semigroups and stochastic processes in Hilbert space are introduced, as are dynamical reduction models. Further topics include relativistic generalizations of the continuous spontaneous localization model and of the quantum state diffusion model and decoherence and the dynamical selection of preferred basis sets in the framework of continuous measurement theory and of the decoherent histories approach. Mathematical aspects of quantum measurement theory and dynamical entropies are also studied from the viewpoint of the operational approach to quantum mechanics.
Author: Heinz-Peter Breuer
Publisher: Springer Science & Business Media
ISBN: 9783540659785
Category : Science
Languages : en
Pages : 256
Get Book Here
Book Description
This book treats modern aspects of open systems, measurement, and decoherence in relativistic quantum theory. It starts with a comprehensive introduction to the problems related to measuring local and nonlocal observables and the constraints imposed by the causality principle. In the articles that follow, the emphasis lies on new theoretical models. Quantum dynamical semigroups and stochastic processes in Hilbert space are introduced, as are dynamical reduction models. Further topics include relativistic generalizations of the continuous spontaneous localization model and of the quantum state diffusion model and decoherence and the dynamical selection of preferred basis sets in the framework of continuous measurement theory and of the decoherent histories approach. Mathematical aspects of quantum measurement theory and dynamical entropies are also studied from the viewpoint of the operational approach to quantum mechanics.
Author: Physikalisches Institut Heinz-Peter Breuer
Publisher: Springer
ISBN: 9783662142318
Category :
Languages : en
Pages : 254
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Book Description
This book treats modern aspects of open systems, measurement, and decoherence in relativistic quantum theory. It starts with a comprehensive introduction to the problems related to measuring local and nonlocal observables and the constraints imposed by the causality principle. In the articles that follow, the emphasis lies on new theoretical models. Quantum dynamical semigroups and stochastic processes in Hilbert space are introduced, as are dynamical reduction models. Further topics include relativistic generalizations of the continuous spontaneous localization model and of the quantum state diffusion model and decoherence and the dynamical selection of preferred basis sets in the framework of continuous measurement theory and of the decoherent histories approach. Mathematical aspects of quantum measurement theory and dynamical entropies are also studied from the viewpoint of the operational approach to quantum mechanics.
Author: Heinz-Peter Breuer
Publisher: Oxford University Press, USA
ISBN: 9780198520634
Category : Mathematics
Languages : en
Pages : 648
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Book Description
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.
Author: Subhashish Banerjee
Publisher: Springer
ISBN: 9811331820
Category : Science
Languages : en
Pages : 278
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Book Description
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.
Author: Heinz-Peter Breuer
Publisher: Springer
ISBN: 3540453695
Category : Science
Languages : en
Pages : 144
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Book Description
Author: Lajos Diosi
Publisher: World Scientific
ISBN: 9814551732
Category :
Languages : en
Pages : 154
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Book Description
Due to the probabilistic interpretation of quantum mechanics, quantum state evolution has both dynamic and stochastic features. Various systems show both features simultaneously and permanently. This workshop was intended to discuss the common trends, in measurement theory, statistical physics, quantum optics and cosmology.This proceedings volume contains most of the invited talks and may offer an insight into the current variety of related ideas.
Author: Heinz-Peter Breuer
Publisher: Springer
ISBN: 9783662143025
Category : Science
Languages : en
Pages : 142
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Book Description
The development of a consistent picture of the processes of decoherence and quantum measurement is among the most interesting fundamental problems with far-reaching consequences for our understanding of the physical world. A satisfactory solution of this problem requires a treatment which is c- patiblewiththetheoryofrelativity,andmanydiverseapproachestosolveor circumvent the arising di?culties have been suggested. This volume collects the contributions of a workshop on Relativistic Quantum Measurement and Decoherence held at the Istituto Italiano per gli Studi Filoso?ci in Naples, April9-10,1999. Theworkshopwasintendedtocontinueapreviousmeeting entitled Open Systems and Measurement in Relativistic Quantum Theory,the talks of which are also published in the Lecture Notes in Physics Series (Vol. 526). The di?erent attitudes and concepts used to approach the decoherence and quantum measurement problem led to lively discussions during the wo- shop and are re?ected in the diversity of the contributions. In the ?rst article the measurement problem is introduced and the various levels of compatibility with special relativity are critically reviewed. In other contributions the rˆ oles of non-locality and entanglement in quantum measurement and state vector preparation are discussed from a pragmatic quantum-optical and quant- information perspective. In a further article the viewpoint of the consistent histories approach is presented and a new criterion is proposed which re?nes thenotionofconsistency. Also,thephenomenonofdecoherenceisexamined from an open system’s point of view and on the basis of superselection rules employing group theoretic and algebraic methods. The notions of hard and softsuperselectionrulesareaddressed,aswellasthedistinctionbetweenreal andapparentlossofquantumcoherence.
Author: Heinz-Peter Breuer
Publisher: Springer Science & Business Media
ISBN: 3540410619
Category : Science
Languages : en
Pages : 144
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Book Description
andapparentlossofquantumcoherence.
Author: Luigi Accardi
Publisher: World Scientific
ISBN: 9812704418
Category : Mathematics
Languages : en
Pages : 348
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Book Description
This volume includes new topics such as the stochastic limit approach to nonequilibrium states, a new algebraic approach to relativistic nonequilibrium local states, classical and quantum features of weak chaos, transports in quantum billiards, the WelcherOCoWeg puzzle with a decaying atom, and the topics related to the quantum Zeno effect.The proceedings have been selected for coverage in: OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)"
Author: Gonzalo Muga
Publisher: Springer
ISBN: 3540734732
Category : Science
Languages : en
Pages : 461
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Book Description
The treatment of time in quantum mechanics is still an important and challenging open question in the foundation of the quantum theory. This multi-authored book, written as an introductory guide for newcomers to the subject, as well as a useful source of information for the expert, covers many of the open questions. The book describes the problems, and the attempts and achievements in defining, formalizing and measuring different time quantities in quantum theory.
