Andreas U Schmidt 2003 J. Phys. A: Math. Gen. 36 1135 doi:10.1088/0305-4470/36/4/319
Andreas U Schmidt1
Show affiliationsWe 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.
03.65.Xp Tunneling, traversal time, quantum Zeno dynamics
05.30.-d Quantum statistical mechanics
Quantum gases, liquids and solids
Issue 4 (31 January 2003)
Received 12 September 2002, in final form 20 December 2002
Published 15 January 2003
A Corrigendum for this article has been published in 2004 J. Phys. A: Math. Gen. 37 11309
Andreas U Schmidt 2003 J. Phys. A: Math. Gen. 36 1135
V A Sashin et al 2001 J. Phys.: Condens. Matter 13 4203
C Chen et al 2005 J. Phys.: Condens. Matter 17 7689
Daniel Cartin et al 2004 Class. Quantum Grav. 21 4495
A S Kheifets et al 2008 J. Phys. B: At. Mol. Opt. Phys. 41 145201
I A Ivanov and A S Kheifets 2008 J. Phys. B: At. Mol. Opt. Phys. 41 115603
Matthew Buican et al JHEP01(2007)107
Ilarion V. Melnikov and M. Ronen Plesser JHEP02(2006)044
Paul S. Aspinwall and Renata Kallosh JHEP10(2005)001
Paul S. Aspinwall and Lukasz M. Fidkowski JHEP10(2006)047