Zeno Dynamics of von Neumann Algebras

Details Zeno Dynamics of von Neumann Algebras Zeno Dynamics of von Neumann Algebras

2002-03-06

arxiv.org/abs/math-ph/0203008v3

J. Phys. A 35 (18 September 2002) 7817-7825

Physics

Mathematical Physics

Revised version; further typos corrected; 9 pages, AMSLaTeX

Scientific paper

10.1088/0305-4470/35/36/309

The dynamical quantum Zeno effect is studied in the context of von Neumann algebras. We identify a localized subalgebra on which the Zeno dynamics acts by automorphisms. The Zeno dynamics coincides with the modular dynamics of that subalgebra, if an additional assumption is satisfied. This relates the modular operator of that subalgebra to the modular operator of the original algebra by a variant of the Kato-Lie-Trotter product formula.

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