105 citations · 419 across the 7 of their papers we have counts for
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On universality of algebraic decays in Hamiltonian systems
Giampaolo Cristadoro, Roland Ketzmerick
Hamiltonian systems with a mixed phase space typically exhibit an algebraic decay of correlations and of Poincare' recurrences, with numerical experiments over finite times showing…
Dynamical tunneling in mushroom billiards
A. Bäcker, R. Ketzmerick, S. Löck +5
We study the fundamental question of dynamical tunneling in generic two-dimensional Hamiltonian systems by considering regular-to-chaotic tunneling rates. Experimentally, we use mi…
Regular-to-chaotic tunneling rates using a fictitious integrable system
A. Bäcker, R. Ketzmerick, S. Löck +1
We derive a formula predicting dynamical tunneling rates from regular states to the chaotic sea in systems with a mixed phase space. Our approach is based on the introduction of a…
Universality in the flooding of regular islands by chaotic states
Arnd Bäcker, Roland Ketzmerick, Alejandro G. Monastra
We investigate the structure of eigenstates in systems with a mixed phase space in terms of their projection onto individual regular tori. Depending on dynamical tunneling rates an…
Flooding of regular islands by chaotic states
A. Bäcker, R. Ketzmerick, A. G. Monastra
We introduce a criterion for the existence of regular states in systems with a mixed phase space. If this condition is not fulfilled chaotic eigenstates substantially extend into a…
Directed Chaotic Transport in Hamiltonian Ratchets
Holger Schanz, Thomas Dittrich, Roland Ketzmerick
We present a comprehensive account of directed transport in one-dimensional Hamiltonian systems with spatial and temporal periodicity. They can be considered as Hamiltonian ratchet…