dorsal/arxiv
View SchemaQuantum chaos in open systems: a quantum state diffusion analysis
| Authors | Todd A. Brun, Ian C. Percival, Rüdiger Schack |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9509015 |
| URL | https://arxiv.org/abs/quant-ph/9509015 |
| DOI | 10.1088/0305-4470/29/9/020 |
| Journal | J.Phys.A29:2077-2090,1996 |
Abstract
Except for the universe, all quantum systems are open, and according to quantum state diffusion theory, many systems localize to wave packets in the neighborhood of phase space points. This is due to decoherence from the interaction with the environment, and makes the quasiclassical limit of such systems both more realistic and simpler in many respects than the more familiar quasiclassical limit for closed systems. A linearized version of this theory leads to the correct classical dynamics in the macroscopic limit, even for nonlinear and chaotic systems. We apply the theory to the forced, damped Duffing oscillator, comparing the numerical results of the full and linearized equations, and argue that this can be used to make explicit calculations in the decoherent histories formalism of quantum mechanics.
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"abstract": "Except for the universe, all quantum systems are open, and according to\nquantum state diffusion theory, many systems localize to wave packets in the\nneighborhood of phase space points. This is due to decoherence from the\ninteraction with the environment, and makes the quasiclassical limit of such\nsystems both more realistic and simpler in many respects than the more familiar\nquasiclassical limit for closed systems. A linearized version of this theory\nleads to the correct classical dynamics in the macroscopic limit, even for\nnonlinear and chaotic systems. We apply the theory to the forced, damped\nDuffing oscillator, comparing the numerical results of the full and linearized\nequations, and argue that this can be used to make explicit calculations in the\ndecoherent histories formalism of quantum mechanics.",
"arxiv_id": "quant-ph/9509015",
"authors": [
"Todd A. Brun",
"Ian C. Percival",
"R\u00fcdiger Schack"
],
"categories": [
"quant-ph",
"chao-dyn",
"nlin.CD"
],
"doi": "10.1088/0305-4470/29/9/020",
"journal_ref": "J.Phys.A29:2077-2090,1996",
"title": "Quantum chaos in open systems: a quantum state diffusion analysis",
"url": "https://arxiv.org/abs/quant-ph/9509015"
},
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