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 Schrödinger 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:   Softcover reprint of the original 1st ed. 2001
Volume:   172
Dimensions:   Width: 15.50cm , Height: 0.80cm , Length: 23.50cm
Weight:   0.244kg
ISBN:  

9783662146996

ISBN 10:   3662146991
Pages:   134
Publication Date:   03 October 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand  
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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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