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Cited by 386

The DOI matches its Crossref record; 103 of the 103 references it cites were found in a registry or an index.

Quantum Zeno dynamics: mathematical and physical aspects

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Facchi, P, Pascazio, S·2008·Journal of Physics A: Mathematical and Theoretical

Abstract

If frequent measurements ascertain whether a quantum system is still in its initial state, transitions to other states are hindered and the quantum Zeno effect takes place. However, in its broader formulation, the quantum Zeno effect does not necessarily freeze everything. On the contrary, for frequent projections onto a multidimensional subspace, the system can evolve away from its initial state, although it remains in the subspace defined by the measurement. The continuing time evolution within the projected "quantum Zeno subspace" is called "quantum Zeno dynamics:" for instance, if the measurements ascertain whether a quantum particle is in a given spatial region, the evolution is unitary and the generator of the Zeno dynamics is the Hamiltonian with hard-wall (Dirichlet) boundary conditions. We discuss the physical and mathematical aspects of this evolution, highlighting the open mathematical problems. We then analyze some alternative strategies to obtain a Zeno dynamics and show that they are physically equivalent.

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Metadata

Authors
Facchi, P., & Pascazio, S.
Venue
Journal of Physics A: Mathematical and Theoretical
Published
2008-10-29
Volume
41
Issue
49
Pages
493001
ISSN
  • 1751-8113 (ISSN-L)
  • 1751-8121
OpenAlex
W2985153281
Cited by
386
References
103
FWCI
7.54
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Quantum Zeno dynamics: mathematical and physical aspects. https://app.cochat.ai/papers/10.1088/1751-8113/41/49/493001
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Facchi, P., & Pascazio, S. (2008). Quantum Zeno dynamics: mathematical and physical aspects. Journal of Physics A: Mathematical and Theoretical. https://doi.org/10.1088/1751-8113/41/49/493001

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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