dorsal/arxiv
View SchemaDecoherence in a classically chaotic quantum system: entropy production and quantum--classical correspondence
| Authors | Diana Monteoliva, Juan Pablo Paz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0106090 |
| URL | https://arxiv.org/abs/quant-ph/0106090 |
| DOI | 10.1103/PhysRevE.64.056238 |
Abstract
We study the decoherence process for an open quantum system which is classically chaotic (a quartic double well with harmonic driving coupled to a sea of harmonic oscillators). We analyze the time dependence of the rate of entropy production showing that it has two relevant regimes: For short times it is proportional to the diffusion coefficient (fixed by the system--environment coupling strength). For longer times (but before equilibration) it is fixed by dynamical properties of the system (and is related to the Lyapunov exponent). The nature of the transition time between both regimes is investigated and the issue of quantum to classical correspondence is addressed. Finally, the impact of the interaction with the environment on coherent tunneling is analyzed.
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"abstract": "We study the decoherence process for an open quantum system which is\nclassically chaotic (a quartic double well with harmonic driving coupled to a\nsea of harmonic oscillators). We analyze the time dependence of the rate of\nentropy production showing that it has two relevant regimes: For short times it\nis proportional to the diffusion coefficient (fixed by the system--environment\ncoupling strength). For longer times (but before equilibration) it is fixed by\ndynamical properties of the system (and is related to the Lyapunov exponent).\nThe nature of the transition time between both regimes is investigated and the\nissue of quantum to classical correspondence is addressed. Finally, the impact\nof the interaction with the environment on coherent tunneling is analyzed.",
"arxiv_id": "quant-ph/0106090",
"authors": [
"Diana Monteoliva",
"Juan Pablo Paz"
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],
"doi": "10.1103/PhysRevE.64.056238",
"title": "Decoherence in a classically chaotic quantum system: entropy production and quantum--classical correspondence",
"url": "https://arxiv.org/abs/quant-ph/0106090"
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