dorsal/arxiv
View SchemaRecoherence in the entanglement dynamics and classical orbits in the N-atom Jaynes-Cummings model
| Authors | Renato M. Angelo, Kyoko Furuya, M. Carolina Nemes, Giancarlo Q. Pellegrino |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0106118 |
| URL | https://arxiv.org/abs/quant-ph/0106118 |
| DOI | 10.1103/PhysRevA.64.043801 |
| Journal | Phys. Rev. A 64, 043801 (2001) |
Abstract
The rise in linear entropy of a subsystem in the N-atom Jaynes-Cummings model is shown to be strongly influenced by the shape of the classical orbits of the underlying classical phase space: we find a one-to-one correspondence between maxima (minima) of the linear entropy and maxima (minima) of the expectation value of atomic excitation J_z. Since the expectation value of this operator can be viewed as related to the orbit radius in the classical phase space projection associated to the atomic degree of freedom, the proximity of the quantum wave packet to this atomic phase space borderline produces a maximum rate of entanglement. The consequence of this fact for initial conditions centered at periodic orbits in regular regions is a clear periodic recoherence. For chaotic situations the same phenomenon (proximity of the atomic phase space borderline) is in general responsible for oscillations in the entanglement properties.
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"abstract": "The rise in linear entropy of a subsystem in the N-atom Jaynes-Cummings model\nis shown to be strongly influenced by the shape of the classical orbits of the\nunderlying classical phase space: we find a one-to-one correspondence between\nmaxima (minima) of the linear entropy and maxima (minima) of the expectation\nvalue of atomic excitation J_z. Since the expectation value of this operator\ncan be viewed as related to the orbit radius in the classical phase space\nprojection associated to the atomic degree of freedom, the proximity of the\nquantum wave packet to this atomic phase space borderline produces a maximum\nrate of entanglement. The consequence of this fact for initial conditions\ncentered at periodic orbits in regular regions is a clear periodic recoherence.\nFor chaotic situations the same phenomenon (proximity of the atomic phase space\nborderline) is in general responsible for oscillations in the entanglement\nproperties.",
"arxiv_id": "quant-ph/0106118",
"authors": [
"Renato M. Angelo",
"Kyoko Furuya",
"M. Carolina Nemes",
"Giancarlo Q. Pellegrino"
],
"categories": [
"quant-ph",
"nlin.CD"
],
"doi": "10.1103/PhysRevA.64.043801",
"journal_ref": "Phys. Rev. A 64, 043801 (2001)",
"title": "Recoherence in the entanglement dynamics and classical orbits in the N-atom Jaynes-Cummings model",
"url": "https://arxiv.org/abs/quant-ph/0106118"
},
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