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Quantization of Classical Maps with tunable Ruelle-Pollicott Resonances

Andrzej Ostruszka·Christopher Manderfeld·Karol Zyczkowski·Fritz Haake
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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.

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Andrzej Ostruszka, Christopher Manderfeld, Karol Zyczkowski, Fritz Haake. 2004-01-19. Quantization of Classical Maps with tunable Ruelle-Pollicott Resonances. https://doi.org/10.1103/physreve.68.056201

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