DETAILED BALANCE AND QUANTUM DYNAMICAL MAPS

Authors
MAJEWSKI WA STREATER RF
Citation
Wa. Majewski et Rf. Streater, DETAILED BALANCE AND QUANTUM DYNAMICAL MAPS, Journal of physics. A, mathematical and general (Print), 31(39), 1998, pp. 7981-7995
Citations number
27
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general (Print) → ACNP
ISSN journal
03054470
Volume
31
Issue
39
Year of publication
1998
Pages
7981 - 7995
Database
ISI
SICI code
0305-4470(1998)31:39<7981:DBAQDM>2.0.ZU;2-3
Abstract
Let T be a stochastic map on a C-algebra A, and omega a faithful stat e. Let pi(omega)(T) be the induced action of T on the GNS Hilbert spac e H-omega, and pi(omega)(T) its adjoint on H-omega. We say T obeys de tailed balance II if pi(omega)(T) is also induced by a stochastic map . In that case we prove that pi(omega)(T) is a contraction on H-omega commuting with the modular operator. The relation of this idea to micr oscopic reversibility is discussed. An entropy estimate is presented.