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Dissipative Quantum Chaos and Decoherence

  • Book
  • © 2001

Overview

Authors:
  1. Daniel Braun

    1. Institute of Physics, University of Essen, Essen, GERMANY

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  • Up-to-date review
  • Important area of current research
  • Helpful reference for scientists and graduates
  • Available online in LINK (http://link.springer.de/series/stmp)
  • All figures and references linked
  • Table of contents, introductions to chapters free for all
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Tracts in Modern Physics (STMP, volume 172)

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XI
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  2. Introduction

    Pages 1-5

  3. Classical Maps

    Pages 7-19

  4. Unitary Quantum Maps

    Pages 21-29

  5. Dissipation in Quantum Mechanics

    Pages 31-49

  6. Decoherence

    Pages 51-62

  7. Dissipative Quantum Maps

    Pages 63-73

  8. Semiclassical Analysis of Dissipative Quantum Maps

    Pages 75-117

  9. Saddle-Point Method for a Complex Function of Several Arguments

    Pages 119-120

  10. The Determinant of a Tridiagonal, Periodically Continued Matrix

    Pages 121-121

  11. Partial Classical Maps and Stability Matrices for the Dissipative Kicked Top

    Pages 123-124

  12. Back Matter

    Pages 125-132
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Keywords

About this book

Dissipative Quantum Chaos and Decoherence provides an overview of the state of the art of research in this exciting field. The main emphasis is on the development of a semiclassical formalism that allows one to incorporate the effect of dissipation and decoherence in a precise, yet tractable way into the quantum mechanics of classically chaotic systems. The formalism is employed to reveal how the spectrum of the quantum mechanical propagator of a density matrix is determined by the spectrum of the corresponding classical propagator of phase space density. Simple quantum--classical hybrid formulae for experimentally relevant correlation functions and time-dependent expectation values of observables are derived. The problem of decoherence is treated in detail, and highly unexpected cases of very slow decoherence are revealed, with important consequences for the long-debated realizability of Schrödinger cat states as well as for the construction of quantum computers.

Authors and Affiliations

  • Institute of Physics, University of Essen, Essen, GERMANY

    Daniel Braun

Bibliographic Information

  • Book Title: Dissipative Quantum Chaos and Decoherence

  • Authors: Daniel Braun

  • Series Title: Springer Tracts in Modern Physics

  • DOI: https://doi.org/10.1007/3-540-40916-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2001

  • Hardcover ISBN: 978-3-540-41197-0Published: 12 December 2000

  • Softcover ISBN: 978-3-662-14699-6Published: 03 October 2013

  • eBook ISBN: 978-3-540-40916-8Published: 01 July 2003

  • Series ISSN: 0081-3869

  • Series E-ISSN: 1615-0430

  • Edition Number: 1

  • Number of Pages: XI, 134

  • Topics: Complex Systems, Quantum Optics, Statistical Physics and Dynamical Systems

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