Dissipative Quantum Chaos and Decoherence

• Κύριος συγγραφέας: Braun, Daniel (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2001.
• Έκδοση: 1st ed. 2001.
• Σειρά: Springer Tracts in Modern Physics, 172
• Θέματα: Statistical physics.; Dynamical systems.; Quantum optics.; Complex Systems.; Quantum Optics.; Statistical Physics and Dynamical Systems.

 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. 

 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.