TY  - JOUR
A1  - Schmidt, Andreas U.
T1  - Zeno dynamics in quantum statistical mechanics
N2  - We study the quantum Zeno effect in quantum statistical mechanics within the operator algebraic framework. We formulate a condition for the appearance of the effect in W*-dynamical systems, in terms of the short-time behaviour of the dynamics. Examples of quantum spin systems show that this condition can be effectively applied to quantum statistical mechanical models. Furthermore, we derive an explicit form of the Zeno generator, and use it to construct Gibbs equilibrium states for the Zeno dynamics. As a concrete example, we consider the X-Y model, for which we show that a frequent measurement at a microscopic level, e.g. a single lattice site, can produce a macroscopic effect in changing the global equilibrium. PACS - Klassifikation: 03.65.Xp, 05.30.-d, 02.30. See the corresponding papers: Schmidt, Andreas U.: "Zeno Dynamics of von Neumann Algebras" and "Mathematics of the Quantum Zeno Effect" and the talk "Zeno Dynamics in Quantum Statistical Mechanics" - http://publikationen.ub.uni-frankfurt.de/volltexte/2005/1167/
KW  - Quantum Zeno dynamics
KW  - W*-dynamical system
KW  - quantum spin systems
KW  - X-Y model
KW  - return to equilibrium
Y1  - 2004
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/4349
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30-11361
SN  - 0022-3689
SN  - 1751-8113
SN  - 0305-4470
SN  - 0301-0015
N1  - Aktualisierte Fassung, zuerst erschienen in: Journal of physics. A, Mathematical and general, 36.2003, S. 1135-1148, enthält Corrigendum erschienen in: Journal of physics. A, Mathematical and general, 37.2004, S. 11309-11310
SP  - 1
EP  - 15
ER  -