dorsal/arxiv
View SchemaQuantum Zeno effect, adiabaticity and dynamical superselection rules
| Authors | P. Facchi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0202174 |
| URL | https://arxiv.org/abs/quant-ph/0202174 |
| DOI | 10.1142/9789812704412_0012 |
Abstract
The evolution of a quantum system undergoing very frequent measurements takes place in a proper subspace of the total Hilbert space (quantum Zeno effect). When the measuring apparatus is included in the quantum description, the Zeno effect becomes a pure consequence of the dynamics. We show that for continuous measurement processes the quantum Zeno evolution derives from an adiabatic theorem. The system is forced to evolve in a set of orthogonal subspaces of the total Hilbert space and a dynamical superselection rule arises. The dynamical properties of this evolution are investigated and several examples are considered.
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"abstract": "The evolution of a quantum system undergoing very frequent measurements takes\nplace in a proper subspace of the total Hilbert space (quantum Zeno effect).\nWhen the measuring apparatus is included in the quantum description, the Zeno\neffect becomes a pure consequence of the dynamics. We show that for continuous\nmeasurement processes the quantum Zeno evolution derives from an adiabatic\ntheorem. The system is forced to evolve in a set of orthogonal subspaces of the\ntotal Hilbert space and a dynamical superselection rule arises. The dynamical\nproperties of this evolution are investigated and several examples are\nconsidered.",
"arxiv_id": "quant-ph/0202174",
"authors": [
"P. Facchi"
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"doi": "10.1142/9789812704412_0012",
"title": "Quantum Zeno effect, adiabaticity and dynamical superselection rules",
"url": "https://arxiv.org/abs/quant-ph/0202174"
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