dorsal/arxiv
View SchemaQuantum entropy dynamics for chaotic systems beyond the classical limit
| Authors | Arnaldo Gammal, Arjendu K. Pattanayak |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702158 |
| URL | https://arxiv.org/abs/quant-ph/0702158 |
Abstract
The entropy production rate for an open quantum system with a classically chaotic limit has been previously argued to be independent of $\hbar$ and $D$, the parameter denoting coupling to the environment, and to be equal to the sum of generalized Lyapunov exponents, with these results applying in the near-classical regime. We present results for a specific system going well beyond earlier work, considering how these dynamics are altered for the Duffing problem by changing $\hbar,D$ and show that the entropy dynamics have a transition from classical to quantum behavior that scales, at least for a finite time, as a function of $\hbar^2/D$.
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"abstract": "The entropy production rate for an open quantum system with a classically\nchaotic limit has been previously argued to be independent of $\\hbar$ and $D$,\nthe parameter denoting coupling to the environment, and to be equal to the sum\nof generalized Lyapunov exponents, with these results applying in the\nnear-classical regime. We present results for a specific system going well\nbeyond earlier work, considering how these dynamics are altered for the Duffing\nproblem by changing $\\hbar,D$ and show that the entropy dynamics have a\ntransition from classical to quantum behavior that scales, at least for a\nfinite time, as a function of $\\hbar^2/D$.",
"arxiv_id": "quant-ph/0702158",
"authors": [
"Arnaldo Gammal",
"Arjendu K. Pattanayak"
],
"categories": [
"quant-ph"
],
"title": "Quantum entropy dynamics for chaotic systems beyond the classical limit",
"url": "https://arxiv.org/abs/quant-ph/0702158"
},
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