zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Classical properties of infinite quantum open systems. (English) Zbl 1031.81010

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.

MSC:
81P15Quantum measurement theory
81P68Quantum computation
81R15Operator algebra methods (quantum theory)
46L57Derivations, dissipations and positive semigroups in C * -algebras
46N50Applications of functional analysis in quantum physics
47D03(Semi)groups of linear operators
81S25Quantum stochastic calculus