Dissipative Quantum Chaos and Decoherence

Softcover Nachdruck of the original 1. Auflage 2001
ISBN: 978-3-662-14699-6
Verlag: Springer

Buch, Englisch, Band 172, 134 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 242 g

Reihe: Springer Tracts in Modern Physics

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.

Zielgruppe

Research

Autoren/Hrsg.

Braun, Daniel

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Elektromagnetismus Optik
• Naturwissenschaften Physik Quantenphysik
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme

Inhaltsverzeichnis

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.