Zeno Dynamics in Quantum Statistical Mechanics

Details Zeno Dynamics in Quantum Statistical Mechanics Zeno Dynamics in Quantum Statistical Mechanics

2002-07-11

arxiv.org/abs/math-ph/0207013v4

J. Phys. A: Math. Gen. 36 (31 january 2003) 1135-1148

Physics

Mathematical Physics

15 pages, AMSLaTeX; typos corrected, references updated and added, acknowledgements added, style polished; revised version con

Scientific paper

10.1088/0305-4470/36/4/319

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. Further, 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.

Affiliated with

Also associated with

No associations

Rating

Zeno Dynamics in Quantum Statistical Mechanics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Zeno Dynamics in Quantum Statistical Mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zeno Dynamics in Quantum Statistical Mechanics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-185431