The Theory of Open Quantum Systems. By Heinz-Peter Breuer, Physikalisches Institut Heinz-Peter Breuer, Francesco Petruccione, School of Pure and Applied. The book includes the modern formulation of open quantum systems in terms of stochastic processes in Heinz-Peter Breuer and Francesco Petruccione. Authors:Heinz-Peter Breuer, Francesco Petruccione Starting from the appropriate characterization of the quantum statistical ensembles naturally arising in the description of open quantum systems, the corresponding dynamical evolution equations are derived From: Francesco Petruccione [view email].
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Oxford University Press is a department of the University of Oxford. It furthers the University’s objective of excellence in research, scholarship, and education by publishing worldwide. 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 systmes of quantum measurements and discusses several examples from a unified perspective, e.
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. Undergraduate and graduate students in physics, theoretical physics, and applied mathematics, as well as researchers and lecturers in the field of quantum mechanics. I recommend this book to physicists interested in widening their horizons in the directions covered by the book I do not know of any other source providing such a systematic and well written introduction into this area of research.
Preface Acknowledgements Part 1: Probability in Classical and Quantum Physics 1.
[quant-ph/] Concepts and methods in the theory of open quantum systems
Classical probability theory and stochastic processes 2. Quantum Probability Part 2: Density Matrix Theory 3. Quantum Master Equations 4. Stochastic Processes in Hilbert Space 5.
Probability distributions on Hilbert space 6. Stochastic dynamics in Hilbert space 7. The stochastic simulation method 8.
Theory of Open Quantum Systems – Oxford Scholarship
Applications to quantum optical systems Part 4: Non-Markovian Quantum Processes 9. Projection operator techniques Non-Markovian dynamics in physical systems Part 5: Relativistic Quantum Processes Measurements in relativistic quantum mechanics Special Features Self-contained introduction.
Combines fundamental questions and specific applications. Develops new mathematical techniques. Explains computer simulation techniques. Click to enlarge Price: The Theory of Open Quantum Systems Heinz-Peter Breuer and Francesco Petruccione This book treats the central physical concepts and mathematical techniques used to investigate the dynamics of open quantum systems.
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