An analytical relation between entropy production and quantum Lyapunov exponents for Gaussian bipartite systems
Quantum Physics
2008-03-31 v3
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.
Keywords
Cite
@article{arxiv.quant-ph/0703200,
title = {An analytical relation between entropy production and quantum Lyapunov exponents for Gaussian bipartite systems},
author = {K. M. Fonseca Romero and J. E. Parreira and L. A. M. Souza and M. C. Nemes and W. F. Wreszinski},
journal= {arXiv preprint arXiv:quant-ph/0703200},
year = {2008}
}
Comments
9 pages, 1 figure, published version