Spectral Approach to Chaos and Quantum-Classical Correspondence in Quantum Mapas
Quantum Physics
2009-11-11 v1 Chaotic Dynamics
Abstract
Correspondence in quantum chaotic systems is lost in short time scales. Introducing some noise we study the spectrum of the resulting coarse grained propagaor of density matrices. Some differen methods to compute the spectrum are reviewed. Moreover, the relationship between the eigenvalues of the coarse-grained superoperator and the classical Ruelle-Pollicott resonances is remarked. As a concequence, classical decay rates in quantum time dependent quantities appear.
Keywords
Cite
@article{arxiv.quant-ph/0505043,
title = {Spectral Approach to Chaos and Quantum-Classical Correspondence in Quantum Mapas},
author = {Ignacio Garcia-Mata and Marcos Saraceno},
journal= {arXiv preprint arXiv:quant-ph/0505043},
year = {2009}
}
Comments
Brief Review to appear in the April '05 Issue of Mod. Phys. Lett. B (World Scientific)