Quantization of Classical Maps with tunable Ruelle-Pollicott Resonances

Details Quantization of Classical Maps with tunable Ruelle-Pollicott Resonances Quantization of Classical Maps with tunable Ruelle-Pollicott Resonances

2003-01-28

arxiv.org/abs/nlin/0301041v2

Phys. Rev. E 68, 056201 (2003)

Nonlinear Sciences

Chaotic Dynamics

REVTeX4 (using graphics and pstricks packages), 18 pages, 16 figures

Scientific paper

10.1103/PhysRevE.68.056201

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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