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Open Quantum Systems

An Introduction

  • Book
  • © 2012

Overview

Authors:
  1. ´Angel Rivas

    1. Departmento de Física Teórica, Universidad Complutense de Madrid, Madrid, Spain

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  2. Susana F. Huelga

    1. Institut für Theoretische Physik, Universität Ulm Institut für Theoretische Physik, Ulm, Germany

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    You can also search for this author in PubMed   Google Scholar

  • Represents a self-contained introduction to the theory of open quantum systems
  • Gives guidance to novices in the field by tutorial-like presentation of mathematical results
  • Gives a unique detailed microspic detivation of Markovian and non-Markovian models
  • Includes supplementary material: sn.pub/extras

Part of the book series: SpringerBriefs in Physics (SpringerBriefs in Physics)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-x
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  2. Mathematical Tools

    • Angel Rivas, Susana F. Huelga
    Pages 1-14

  3. Time Evolution in Closed Quantum Systems

    • Angel Rivas, Susana F. Huelga
    Pages 15-17

  4. Time Evolution in Open Quantum Systems

    • Angel Rivas, Susana F. Huelga
    Pages 19-31

  5. Quantum Markov Process: Mathematical Structure

    • Angel Rivas, Susana F. Huelga
    Pages 33-48

  6. Microscopic Description: Markovian Case

    • Àngel Rivas, Susana F. Huelga
    Pages 49-80

  7. Microscopic Description: Non-Markovian Case

    • Angel Rivas, Susana F. Huelga
    Pages 81-88

  8. Back Matter

    Pages 89-97
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Keywords

About this book

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.

Reviews

From the reviews:

“The book is a monograph dealing with a selection of topics in open quantum systems theory. Its particular aim with respect to other publications is to connect the results to a more solid mathematical background, so that most results are directly proven, even though proofs are usually restricted to a finite-dimensional setting to keep matters simple. … The monograph is written in a clear and concise style and provides a compact introduction to the subject … .” (Bassano Vacchini, Mathematical Reviews, Issue 2012 j)

Authors and Affiliations

  • Departmento de Física Teórica, Universidad Complutense de Madrid, Madrid, Spain

    ´Angel Rivas

  • Institut für Theoretische Physik, Universität Ulm Institut für Theoretische Physik, Ulm, Germany

    Susana F. Huelga

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