Quantum Zeno Effect in Open Quantum Systems
Publication Date
2021Journal Title
Annales Henri Poincare
ISSN
1424-0637
Publisher
Springer Science and Business Media LLC
Volume
22
Issue
11
Pages
3795-3840
Language
en
Type
Article
This Version
VoR
Metadata
Show full item recordCitation
Becker, S., Datta, N., & Salzmann, R. (2021). Quantum Zeno Effect in Open Quantum Systems. Annales Henri Poincare, 22 (11), 3795-3840. https://doi.org/10.1007/s00023-021-01075-8
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.
Keywords
quant-ph, quant-ph, math-ph, math.MP
Sponsorship
Engineering and Physical Sciences Research Council (GB) (EP/L016516/1)
Identifiers
s00023-021-01075-8, 1075
External DOI: https://doi.org/10.1007/s00023-021-01075-8
This record's URL: https://www.repository.cam.ac.uk/handle/1810/329540
Rights
Licence:
http://creativecommons.org/licenses/by/4.0/
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