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DY: Fachverband Dynamik und Statistische Physik
DY 26: Poster - Quanten Systems
DY 26.6: Poster
Tuesday, March 8, 2016, 18:15–21:00, Poster C
Localization of Chaotic Resonance States due to a Partial Transport Barrier — •Martin Körber1, Arnd Bäcker1,2, and Roland Ketzmerick1,2 — 1TU Dresden, Institut für Theoretische Physik, Dresden — 2MPI für Physik komplexer Systeme, Dresden
Chaotic eigenstates of quantum systems are known to localize on either side of a classical partial transport barrier if the flux connecting the two sides is quantum mechanically not resolved due to Heisenberg’s uncertainty. Surprisingly, in open systems with escape chaotic resonance states can localize even if the flux is quantum mechanically resolved [1]. We explain this using the concept of conditionally invariant measures by introducing a new quantum mechanically relevant class of such fractal measures [2]. We numerically find quantum-to-classical correspondence for localization transitions depending on the openness of the system and on the decay rate of resonance states.
[1] Phys. Rev. Lett. 111, 114102 (2013)
[2] Phys. Rev. Lett. (accepted); arXiv:1509.00665