Quantum Dynamical Semigroups and Decoherence-Reference-Cited by-同舟云学术

Quantum Dynamical Semigroups and Decoherence

Published:2011 Issue: Volume:2011 Page:1-16
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Hellmich Mario¹²^ORCID

Affiliation:

1. Faculty of Physics, University of Bielefeld, Universitätsstraβe 25, 33615 Bielefeld, Germany

2. Bundesamt für Strahlenschutz (Federal Office for Radiation Protection), Willy-Brandt-Straße 5, 38226 Salzgitter, Germany

Abstract

We prove a version of the Jacobs-de Leeuw-Glicksberg splitting theorem for weak*continuous one-parameter semigroups on dual Banach spaces. This result is applied to give sufficient conditions for a quantum dynamical semigroup to display decoherence. The underlying notion of decoherence is that introduced by Blanchard and Olkiewicz (2003). We discuss this notion in some detail.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2011/625978.pdf

Reference35 articles.

1. DECOHERENCE INDUCED TRANSITION FROM QUANTUM TO CLASSICAL DYNAMICS

2. Environment-Induced Superselection Rules in Markovian Regime

3. When champions meet: Rethinking the Bohr–Einstein debate

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