Dissipative Quantum Chaos and Decoherence
Author:   Daniel Braun
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   2001 ed.
Volume:   172
ISBN:  

9783540411970


Pages:   134
Publication Date:   12 December 2000
Format:   Hardback
Availability:   In Print   Availability explained
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Dissipative Quantum Chaos and Decoherence


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Overview

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 Schrodinger cat states as well as for the construction of quantum computers.

Full Product Details

Author:   Daniel Braun
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2001 ed.
Volume:   172
Dimensions:   Width: 15.50cm , Height: 0.90cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783540411970


ISBN 10:   3540411976
Pages:   134
Publication Date:   12 December 2000
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Classical Maps.- Unitary Quantum Maps.- Dissipation in Quantum Mechanics.- Decoherence.- Dissipative Quantum Maps.- Semiclassical Analysis of Dissipative Quantum Maps.- Saddle-Point Method for a Complex Function of Several Arguments.- The Determinant of a Tridiagonal, Periodically Continued Matrix.- Partial Classical Maps and Stability Matrices for the Dissipative Kicked Top.

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