title: Quantization of classical maps with tunable Ruelle-Pollicott resonances.
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.
authors.affiliation: Instytut Fizyki, Uniwersytet Jagielloński, ulnicka Reymonta 4, 30-059 Kraków, Poland.
authors.forename: Andrzej
authors.initials: A
authors.lastname: Ostruszka
authors.forename: Christopher
authors.initials: C
authors.lastname: Manderfeld
authors.forename: Karol
authors.initials: K
authors.lastname: Zyczkowski
authors.forename: Fritz
authors.initials: F
authors.lastname: Haake