Spectral properties and classical decays in quantum open systems
Chaotic Dynamics
2009-11-10 v3 Quantum Physics
Abstract
We study the relationship between the spectral properties of diffusive open quantum maps and the classical spectrum of Ruelle-Pollicott resonances. The leading resonances determine the asymptotic time regime for several quantities of interest - the linear entropy, the Loschmidt echo and the correlations of the initial state. A numerical method that allow an efficient calculation of the leading spectrum is developed using a truncated basis adapted to the dynamics.
Cite
@article{arxiv.nlin/0312062,
title = {Spectral properties and classical decays in quantum open systems},
author = {Ignacio Garcia-Mata and Marcos Saraceno},
journal= {arXiv preprint arXiv:nlin/0312062},
year = {2009}
}
Comments
14 pages, 8 figures. submitted to PRE. Typos corrected. Refferences added. Fig 5 corrected. Some changes following refferees' sugestions made