Dresden 2014 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 23: Quantum Chaos
DY 23.10: Vortrag
Mittwoch, 2. April 2014, 17:30–17:45, ZEU 146
Hierarchical Resonance States and Fractal Weyl Laws — •Martin Körber1, Matthias Michler1, Arnd Bäcker1,2, and Roland Ketzmerick1,2 — 1Technische Universität Dresden, Institut für Theoretische Physik, 01062 Dresden, Germany — 2MPI für Physik komplexer Systeme, 01187 Dresden, Germany
The chaotic dynamics of generic Hamiltonian systems is governed by partial barriers. They also strongly influence the system’s quantum-mechanical properties. In closed systems, the localization of eigenstates around a partial barrier universally depends on the ratio of the flux across the partial barrier and the effective size of Planck’s cell, only [1]. In open systems, however, we observe that partial barriers imply localization of resonance states apart from this criterion. This gives rise to hierarchical fractal Weyl laws in generic systems [2]. We present an argument for the existence of these localized resonance states and study their parameter dependence. We design a model system that allows us to distinguish between the universal influence of the opening and the subtle contribution from the chaotic saddle.
[1] Phys. Rev. Lett. 109, 234101 (2012)
[2] Phys. Rev. Lett. 111, 114102 (2013)