Dresden 2014 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 23: Quantum Chaos

DY 23.9: Vortrag

Mittwoch, 2. April 2014, 17:15–17:30, ZEU 146

Multifractals in Quantum Chaos — •Moritz Schönwetter and Eduardo G. Altmann — MPIPKS, Dresden

Fractal properties of open chaotic systems are known to play an important role in their corresponding quantum systems. Well studied examples are the localisation of long lived states on fractal structures in the classical phase space and the fractal Weyl law connecting the asymptotic resonance density with the fractal dimension D₀ of the classical invariant set. In numerous physically relevant cases the opening is not complete but results from partial absorption and partial reflection (e.g., of the intensity of optical rays), in which case the classical system is no longer characterised by D₀ but by the full multi-fractal spectrum of Rényi dimensions D_q. Here we study the influence of partial reflection and multi-fractality of the underlying classical system on spectral properties of the quantum mechanical counterpart.