Quantization of Classical Maps with tunable Ruelle-Pollicott Resonances
Chaotic Dynamics
2009-11-10 v2
Abstract
We investigate the correspondence between the decay of correlation in classical system, governed by Ruelle--Pollicott resonances, and the properties of the corresponding quantum system. For this purpose we construct classical systems with controllable resonances together with their quantum counterpart. As an application of such tailormade resonances we reveal the role of Ruelle--Pollicott resonances for the localization properties of quantum energy eigenstates.
Cite
@article{arxiv.nlin/0301041,
title = {Quantization of Classical Maps with tunable Ruelle-Pollicott Resonances},
author = {Andrzej Ostruszka and Christopher Manderfeld and Karol Zyczkowski and Fritz Haake},
journal= {arXiv preprint arXiv:nlin/0301041},
year = {2009}
}
Comments
REVTeX4 (using graphics and pstricks packages), 18 pages, 16 figures