title: Dynamical trapping and chaotic scattering of the harmonically driven barrier.
abstract: A detailed analysis of the classical nonlinear dynamics of a single driven square potential barrier with harmonically oscillating position is performed. The system exhibits dynamical trapping which is associated with the existence of a stable island in phase space. Due to the unstable periodic orbits of the KAM structure, the driven barrier is a chaotic scatterer and shows stickiness of scattering trajectories in the vicinity of the stable island. The transmission function of a suitably prepared ensemble yields results which are very similar to tunneling resonances in the quantum mechanical regime. However, the origin of these resonances is different in the classical regime.
authors.affiliation: Physikalisches Institut, Universität Heidelberg, Philosophenweg 12, 69120 Heidelberg, Germany. florian.koch@physi.uni-heidelberg.de
authors.forename: Florian R N
authors.initials: FR
authors.lastname: Koch
authors.forename: Florian
authors.initials: F
authors.lastname: Lenz
authors.forename: Christoph
authors.initials: C
authors.lastname: Petri
authors.forename: Fotios K
authors.initials: FK
authors.lastname: Diakonos
authors.forename: Peter
authors.initials: P
authors.lastname: Schmelcher