dorsal/arxiv
View SchemaEnvironmental effects in the quantum-classical transition for the delta-kicked harmonic oscillator
| Authors | A. R. R. Carvalho, R. L. de Matos Filho, L. Davidovich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0405009 |
| URL | https://arxiv.org/abs/quant-ph/0405009 |
| DOI | 10.1103/PhysRevE.70.026211 |
| Journal | Phys. Rev. E 70, 026211 (2004) |
Abstract
We discuss the roles of the macroscopic limit and of different system-environment interactions in the quantum-classical transition for a chaotic system. We consider the kicked harmonic oscillator subject to reservoirs that correspond in the classical case to purely dissipative or purely diffusive behavior, in a situation that can be implemented in ion trap experiments. In the dissipative case, we derive an expression for the time at which quantum and classical predictions become different (breaking time) and show that a complete quantum-classical correspondence is not possible in the chaotic regime. For the diffusive environment we estimate the minimum value of the diffusion coefficient necessary to retrieve the classical limit and also show numerical evidence that, for diffusion below this threshold, the breaking time behaves, essentially, as in the case of the system without a reservoir.
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"abstract": "We discuss the roles of the macroscopic limit and of different\nsystem-environment interactions in the quantum-classical transition for a\nchaotic system. We consider the kicked harmonic oscillator subject to\nreservoirs that correspond in the classical case to purely dissipative or\npurely diffusive behavior, in a situation that can be implemented in ion trap\nexperiments. In the dissipative case, we derive an expression for the time at\nwhich quantum and classical predictions become different (breaking time) and\nshow that a complete quantum-classical correspondence is not possible in the\nchaotic regime. For the diffusive environment we estimate the minimum value of\nthe diffusion coefficient necessary to retrieve the classical limit and also\nshow numerical evidence that, for diffusion below this threshold, the breaking\ntime behaves, essentially, as in the case of the system without a reservoir.",
"arxiv_id": "quant-ph/0405009",
"authors": [
"A. R. R. Carvalho",
"R. L. de Matos Filho",
"L. Davidovich"
],
"categories": [
"quant-ph",
"nlin.CD"
],
"doi": "10.1103/PhysRevE.70.026211",
"journal_ref": "Phys. Rev. E 70, 026211 (2004)",
"title": "Environmental effects in the quantum-classical transition for the delta-kicked harmonic oscillator",
"url": "https://arxiv.org/abs/quant-ph/0405009"
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