dorsal/arxiv
View SchemaCrossover from classical to quantum behavior of Duffing oscillator through "pseudo-Lyapunov exponent"
| Authors | Yukihiro Ota, Ichiro Ohba |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0308154 |
| URL | https://arxiv.org/abs/quant-ph/0308154 |
| DOI | 10.1103/PhysRevE.71.015201 |
| Journal | Phys. Rev. E 71, 015201 (2005) |
Abstract
We discuss the quantum--classical correspondence in a specific dissipative chaotic system, Duffing oscillator. We quantize it on the basis of quantum state diffusion (QSD) which is a certain formulation for open quantum systems and an effective tool for analyzing complex problems numerically. We consider a sensitivity to initial conditions, `` pseudo-Lyapunov exponent '', and investigate it in detail, varying Planck constant effectively. We show that in a dissipative system there exists a certain critical stage in which the crossover from classical to quantum behavior occurs. Furthermore, we show that an effect of dissipation suppresses the occurrence of chaos in the quantum region, while it, combined with the periodic external force, plays a crucial role in the chaotic behaviors of classical system.
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"abstract": "We discuss the quantum--classical correspondence in a specific dissipative\nchaotic system, Duffing oscillator. We quantize it on the basis of quantum\nstate diffusion (QSD) which is a certain formulation for open quantum systems\nand an effective tool for analyzing complex problems numerically. We consider a\nsensitivity to initial conditions, `` pseudo-Lyapunov exponent \u0027\u0027, and\ninvestigate it in detail, varying Planck constant effectively. We show that in\na dissipative system there exists a certain critical stage in which the\ncrossover from classical to quantum behavior occurs. Furthermore, we show that\nan effect of dissipation suppresses the occurrence of chaos in the quantum\nregion, while it, combined with the periodic external force, plays a crucial\nrole in the chaotic behaviors of classical system.",
"arxiv_id": "quant-ph/0308154",
"authors": [
"Yukihiro Ota",
"Ichiro Ohba"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevE.71.015201",
"journal_ref": "Phys. Rev. E 71, 015201 (2005)",
"title": "Crossover from classical to quantum behavior of Duffing oscillator through \"pseudo-Lyapunov exponent\"",
"url": "https://arxiv.org/abs/quant-ph/0308154"
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