dorsal/arxiv
View SchemaZeno dynamics and constraints
| Authors | P. Facchi, G. Marmo, S. Pascazio, A. Scardicchio, E. C. G. Sudarshan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310045 |
| URL | https://arxiv.org/abs/quant-ph/0310045 |
| DOI | 10.1088/1464-4266/6/6/006 |
| Journal | J. Opt. B: Quantum Semiclass. Opt. 6 (2004) S492 |
Abstract
We investigate some examples of quantum Zeno dynamics, when a system undergoes very frequent (projective) measurements that ascertain whether it is within a given spatial region. In agreement with previously obtained results, the evolution is found to be unitary and the generator of the Zeno dynamics is the Hamiltonian with hard-wall (Dirichlet) boundary conditions. By using a new approach to this problem, this result is found to be valid in an arbitrary $N$-dimensional compact domain. We then propose some preliminary ideas concerning the algebra of observables in the projected region and finally look at the case of a projection onto a lower dimensional space: in such a situation the Zeno ansatz turns out to be a procedure to impose constraints.
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"abstract": "We investigate some examples of quantum Zeno dynamics, when a system\nundergoes very frequent (projective) measurements that ascertain whether it is\nwithin a given spatial region. In agreement with previously obtained results,\nthe evolution is found to be unitary and the generator of the Zeno dynamics is\nthe Hamiltonian with hard-wall (Dirichlet) boundary conditions. By using a new\napproach to this problem, this result is found to be valid in an arbitrary\n$N$-dimensional compact domain. We then propose some preliminary ideas\nconcerning the algebra of observables in the projected region and finally look\nat the case of a projection onto a lower dimensional space: in such a situation\nthe Zeno ansatz turns out to be a procedure to impose constraints.",
"arxiv_id": "quant-ph/0310045",
"authors": [
"P. Facchi",
"G. Marmo",
"S. Pascazio",
"A. Scardicchio",
"E. C. G. Sudarshan"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1464-4266/6/6/006",
"journal_ref": "J. Opt. B: Quantum Semiclass. Opt. 6 (2004) S492",
"title": "Zeno dynamics and constraints",
"url": "https://arxiv.org/abs/quant-ph/0310045"
},
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