Quantization of classical maps with tunable Ruelle-Pollicott resonances

Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Nov;68(5 Pt 2):056201. doi: 10.1103/PhysRevE.68.056201. Epub 2003 Nov 3.

Abstract

We investigate the correspondence between the decay of correlation in classical systems, governed by Ruelle-Pollicott resonances, and the properties of the corresponding quantum systems. For this purpose we construct classical dynamics with controllable resonances together with their quantum counterparts. As an application of such tunable resonances we reveal the role of Ruelle-Pollicott resonances for the localization properties of quantum energy eigenstates.