dorsal/arxiv
View SchemaAn analytical relation between entropy production and quantum Lyapunov exponents for Gaussian bipartite systems
| Authors | K. M. Fonseca Romero, J. E. Parreira, L. A. M. Souza, M. C. Nemes, W. F. Wreszinski |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703200 |
| URL | https://arxiv.org/abs/quant-ph/0703200 |
| DOI | 10.1088/1751-8113/41/11/115303 |
| Journal | J. Phys. A: Math. Theor. 41 115303 (9pp) (2008) |
Abstract
We study and compare the information loss of a large class of Gaussian bipartite systems. It includes the usual Caldeira-Leggett type model as well as Anosov models (parametric oscillators, the inverted oscillator environment, etc), which exhibit instability, one of the most important characteristics of chaotic systems. We establish a rigorous connection between the quantum Lyapunov exponents and coherence loss, and show that in the case of unstable environments coherence loss is completely determined by the upper quantum Lyapunov exponent, a behavior which is more universal than that of the Caldeira-Leggett type model.
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"abstract": "We study and compare the information loss of a large class of Gaussian\nbipartite systems. It includes the usual Caldeira-Leggett type model as well as\nAnosov models (parametric oscillators, the inverted oscillator environment,\netc), which exhibit instability, one of the most important characteristics of\nchaotic systems. We establish a rigorous connection between the quantum\nLyapunov exponents and coherence loss, and show that in the case of unstable\nenvironments coherence loss is completely determined by the upper quantum\nLyapunov exponent, a behavior which is more universal than that of the\nCaldeira-Leggett type model.",
"arxiv_id": "quant-ph/0703200",
"authors": [
"K. M. Fonseca Romero",
"J. E. Parreira",
"L. A. M. Souza",
"M. C. Nemes",
"W. F. Wreszinski"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1751-8113/41/11/115303",
"journal_ref": "J. Phys. A: Math. Theor. 41 115303 (9pp) (2008)",
"title": "An analytical relation between entropy production and quantum Lyapunov exponents for Gaussian bipartite systems",
"url": "https://arxiv.org/abs/quant-ph/0703200"
},
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