Quantum Zeno Effect in Open Quantum Systems

Authors
Datta, N 
Salzmann, R 

Change log
Abstract

We prove the quantum Zeno effect in open quantum systems whose evolution, governed by quantum dynamical semigroups, is repeatedly and frequently interrupted by the action of a quantum operation. For the case of a quantum dynamical semigroup with a bounded generator, our analysis leads to a refinement of existing results and extends them to a larger class of quantum operations. We also prove the existence of a novel strong quantum Zeno limit for quantum operations for which a certain spectral gap assumption, which all previous results relied on, is lifted. The quantum operations are instead required to satisfy a weaker property of strong power-convergence. In addition, we establish, for the first time, the existence of a quantum Zeno limit for the case of unbounded generators. We also provide a variety of physically interesting examples of quantum operations to which our results apply.

Publication Date
2021
Online Publication Date
2021-06-05
Acceptance Date
2021-05-28
Keywords
quant-ph, quant-ph, math-ph, math.MP
Journal Title
Annales Henri Poincare
Journal ISSN
1424-0637
1424-0661
Volume Title
22
Publisher
Springer Science and Business Media LLC
Sponsorship
Engineering and Physical Sciences Research Council (GB) (EP/L016516/1)