Dynamical trapping and chaotic scattering of the harmonically driven barrier.
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.
Koch
Florian R N
FR
Physikalisches Institut, Universität Heidelberg, Philosophenweg 12, 69120 Heidelberg, Germany. florian.koch@physi.uni-heidelberg.de
Lenz
Florian
F
Petri
Christoph
C
Diakonos
Fotios K
FK
Schmelcher
Peter
P