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Open Quantum Systems II

The Markovian Approach

  • Book
  • © 2006

Overview

Editors:
  1. Stéphane Attal

    1. Institut Camille Jordan, Université Claude Bernard Lyon 1, Villeurbanne Cedex, France

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  2. Alain Joye

    1. Institut Fourier, Université de Grenoble 1, Saint-Martin d'Héres Cedex, France

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  3. Claude-Alain Pillet

    1. CPT-CNRS, UMR 6207, Université du Sud Toulon-Var, La Garde Cedex, France

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1881)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Ergodic Properties of Markov Processes

    • Luc Rey Bellet
    Pages 1-39

  3. Open Classical Systems

    • Luc Rey-Bellet
    Pages 41-78

  4. Quantum Noises

    • Stéphane Attal
    Pages 79-147

  5. Complete Positivity and the Markov structure of Open Quantum Systems

    • Rolando Rebolledo
    Pages 149-182

  6. Quantum Stochastic Differential Equations and Dilation of Completely Positive Semigroups

    • Franco Fagnola
    Pages 183-220

  7. Back Matter

    Pages 221-243
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Keywords

About this book

This volume is the second in a series of three volumes dedicated to the lecture notes of the summer school “Open Quantum Systems” which took place in the Institut Fourier in Grenoble, from June 16th to July 4th 2003. The contributions presented in thesevolumesarerevisedandexpandedversionsofthenotesprovidedtothestudents during the school. After the rst volume, developing the Hamiltonian approach of open quantum systems, this second volume is dedicated to the Markovian approach. The third volume presents both approaches, but at the recent research level. Open quantum systems A quantum open system is a quantum system which is interacting with another one. This is a general de nition, but in general, it is understood that one of the s- tems is rather “small” or “simple” compared to the other one which is supposed to be huge, to be the environment, a gas of particles, a beam of photons, a heat bath ... The aim of quantum open system theory is to study the behaviour of this coupled system and in particular the dissipation of the small system in favour of the large one.

Editors and Affiliations

  • Institut Camille Jordan, Université Claude Bernard Lyon 1, Villeurbanne Cedex, France

    Stéphane Attal

  • Institut Fourier, Université de Grenoble 1, Saint-Martin d'Héres Cedex, France

    Alain Joye

  • CPT-CNRS, UMR 6207, Université du Sud Toulon-Var, La Garde Cedex, France

    Claude-Alain Pillet

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