Quantum dynamical semigroups for finite and infinite Bose systems

Journal Article · Sun Jan 14 23:00:00 EST 2007 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2406053· OSTI ID:20929609

Blanchard, Ph; Hellmich, M; Lugiewicz, P; Olkiewicz, R ^[1]

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1. Physics Faculty, University of Bielefeld, Universitaetstrasse 25, 33615 Bielefeld (Germany) and BiBoS, University of Bielefeld, Universitaetstrasse 25, 33615 Bielefeld (Germany)

A new class of quasifree quantum Markov semigroups on C*-algebras of canonical commutation relations is introduced and discussed. Two applications to decoherence in the Heisenberg representation are given. In the first one the dynamical semigroup which leads to the appearance of decoherence induced superselection rules corresponding to the boundary conditions of a quantum particle in a finite interval is considered. The second example analyzes the possibility of the transition from infinite systems to systems with a finite number of degrees of freedom.

• OSTI ID: 20929609
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 1 Vol. 48; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
BOUNDARY CONDITIONS
COMMUTATION RELATIONS
DEGREES OF FREEDOM
GROUP THEORY
HEISENBERG PICTURE
MARKOV PROCESS
QUANTUM DECOHERENCE
QUANTUM MECHANICS
SUPERSELECTION RULES