Dissipative Quantum Chaos and Decoherence

ISBN-13: 9783662146996 / Angielski / Miękka / 2013 / 134 str.

Daniel Braun

Opis

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.

Spis treści

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.

O autorze

Daniel Braun beschäftigt sich schon seit vielen Jahren mit den Themen "Künstliche Intelligenz" und "Robotik". Er nahm bereits an zahlreichen Programmier- und Konstruktionswettbewerben teil, unter anderem fünf mal bei der First Lego League, dem offiziellen Wettbewerb der Firma LEGO für die Mindstorms-Systeme, sowohl als aktiver Teilnehmer als auch als Coach. Im Jahr 2005 trat er zusammen mit dem späteren Weltmeister im Roboter-Fußball bei den German Open des RoboCups an. Außerdem ist er mitverantwortlich für das "Pleopatra -Projekt des Deutschen Forschungszentrum für Künstliche Intelligenz" (DFKI), das sich mit der intelligenten Mensch-Maschine-Kommunikation bei Robotern beschäftigt.
Neben der "Robotik" interessiert er sich als Chefredakteur eines der ältesten deutschen Online-Magazine zum Thema "Gaming" für alle Themen rund um den Computer, insbesondere Spiele.

Blurb

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.