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We study the correspondence between phase-space localization of quantum (quasi-)energy eigenstates and classical correlation decay, given by Ruelle-Pollicott resonances of the Frobenius-Perron operator. It will be shown that scarred (quasi-)energy eigenstates are correlated: Pairs of eigenstates strongly overlap in phase space (scar in same phase-space… (More)

- Andrzej Ostruszka, Christopher Manderfeld, Karol Zyczkowski, Fritz Haake
- Physical review. E, Statistical, nonlinear, and…
- 2003

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… (More)

- Christopher Manderfeld, Henning Schomerus
- Physical review. E, Statistical, nonlinear, and…
- 2001

We investigated numerically, for a generic quantum system (a kicked top), how the singular behavior of classical systems at bifurcations is reflected by their quantum counterpart. Good agreement is found with semiclassical predictions.

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… (More)

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