dorsal/arxiv
View SchemaDecoherence and the quantum-classical limit in the presence of chaos
| Authors | F. Toscano, R. L. de Matos Filho, L. Davidovich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410146 |
| URL | https://arxiv.org/abs/quant-ph/0410146 |
| DOI | 10.1103/PhysRevA.71.010101 |
| Journal | Phys. Rev. A 71, 010101(R) (2005) (4 pages) |
Abstract
We investigate how decoherence affects the short-time separation between quantum and classical dynamics for classically chaotic systems, within the framework of a specific model. For a wide range of parameters, the distance between the corresponding phase-space distributions depends on a single parameter $\chi$ that relates an effective Planck constant $\hbar_{\rm eff}$, the Lyapunov coeffficient, and the diffusion constant. This distance peaks at a time that depends logarithmically on $\hbar_{\rm eff}$, in agreement with previous estimations of the separation time for Hamiltonian systems. However, for $\chi\lesssim 1$, the separation remains small, going down with $\hbar_{\rm eff}^2$, so the concept of separation time loses its meaning.
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"abstract": "We investigate how decoherence affects the short-time separation between\nquantum and classical dynamics for classically chaotic systems, within the\nframework of a specific model. For a wide range of parameters, the distance\nbetween the corresponding phase-space distributions depends on a single\nparameter $\\chi$ that relates an effective Planck constant $\\hbar_{\\rm eff}$,\nthe Lyapunov coeffficient, and the diffusion constant. This distance peaks at a\ntime that depends logarithmically on $\\hbar_{\\rm eff}$, in agreement with\nprevious estimations of the separation time for Hamiltonian systems. However,\nfor $\\chi\\lesssim 1$, the separation remains small, going down with $\\hbar_{\\rm\neff}^2$, so the concept of separation time loses its meaning.",
"arxiv_id": "quant-ph/0410146",
"authors": [
"F. Toscano",
"R. L. de Matos Filho",
"L. Davidovich"
],
"categories": [
"quant-ph",
"nlin.CD",
"physics.class-ph"
],
"doi": "10.1103/PhysRevA.71.010101",
"journal_ref": "Phys. Rev. A 71, 010101(R) (2005) (4 pages)",
"title": "Decoherence and the quantum-classical limit in the presence of chaos",
"url": "https://arxiv.org/abs/quant-ph/0410146"
},
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