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Dissipative Quantum Chaos and Decoherence

  • Daniel Braun

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

About this book

Introduction

Dissipative Quantum Chaos and Decoherence provides an over- view 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.

Keywords

Decoherence Dissipation Quantum Computing mechanics quantum chaos

Authors and affiliations

  • Daniel Braun
    • 1
  1. 1.Institute of PhysicsUniversity of EssenEssenGERMANY

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-40916-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 2001
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-41197-0
  • Online ISBN 978-3-540-40916-8
  • Series Print ISSN 0081-3869
  • Buy this book on publisher's site
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