dorsal/arxiv
View SchemaQuantum dynamics and breakdown of classical realism in nonlinear oscillators
| Authors | Omri Gat |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702191 |
| URL | https://arxiv.org/abs/quant-ph/0702191 |
| DOI | 10.1088/1751-8113/40/39/F01 |
Abstract
The dynamics of a quantum nonlinear oscillator is studied in terms of its quasi-flow, a dynamical mapping of the classical phase plane that represents the time-evolution of the quantum observables. Explicit expressions are derived for the deformation of the classical flow by the quantum nonlinearity in the semiclassical limit. The breakdown of the classical trajectories under the quantum nonlinear dynamics is quantified by the mismatch of the quasi-flow carried by different observables. It is shown that the failure of classical realism can give rise to a dynamical violation of Bell's inequalities.
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"abstract": "The dynamics of a quantum nonlinear oscillator is studied in terms of its\nquasi-flow, a dynamical mapping of the classical phase plane that represents\nthe time-evolution of the quantum observables. Explicit expressions are derived\nfor the deformation of the classical flow by the quantum nonlinearity in the\nsemiclassical limit. The breakdown of the classical trajectories under the\nquantum nonlinear dynamics is quantified by the mismatch of the quasi-flow\ncarried by different observables. It is shown that the failure of classical\nrealism can give rise to a dynamical violation of Bell\u0027s inequalities.",
"arxiv_id": "quant-ph/0702191",
"authors": [
"Omri Gat"
],
"categories": [
"quant-ph",
"nlin.SI",
"physics.atom-ph"
],
"doi": "10.1088/1751-8113/40/39/F01",
"title": "Quantum dynamics and breakdown of classical realism in nonlinear oscillators",
"url": "https://arxiv.org/abs/quant-ph/0702191"
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