Classical properties of infinite quantum open systems
type: Item
instance of: scholarly article
title: Classical properties of infinite quantum open systems
zbMATH Open document ID: 1031.81010
published in: Communications in Mathematical Physics
publication date: 2003-08-21T00:00:00Z
review text: In recent years so-called environmental decoherence has been accepted as a possible mechanism responsible for the appearance of classical features in quantum measurements. The present paper investigates the long time asymptotics of a class of environmentally induced dynamical semigroups on arbitrary von Neumann algebras. Such semigroup selected effective observables which are immune to decoherence and evolve reversibly. It is shown that these observables of the quantum system in the thermodynamic limit, specifically interacting with another quantum system obey classical dynamics. The importance of this result stems from the fact that typical studies of decoherence pertain to quantum systems with a finite number of degrees of freedom. Here, specific circumstances were found, under which infinite quantum systems may show up a classical behaviour.
Mathematics Subject Classification ID: 81P15
Mathematics Subject Classification ID: 81P68
Mathematics Subject Classification ID: 81R15
Mathematics Subject Classification ID: 46L57
Mathematics Subject Classification ID: 46N50
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 81S25
zbMATH DE Number: 1969278
zbMATH Keywords: decoherence
zbMATH Keywords: von Neumann algebra
zbMATH Keywords: dynamical semigroups
zbMATH Keywords: thermodynamic limit
zbMATH Keywords: factors
author: P. Ługiewicz
author: R. Olkiewicz
reviewed by: Piotr Garbaczewski
MaRDI profile type: Publication
full work available at URL: s00220-003-0873-x
OpenAlex ID: W1990695582
DOI: 10.1007/S00220-003-0873-X
description: scientific article; zbMATH DE number 1969278