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DY: Fachverband Dynamik und Statistische Physik

DY 69: Poster: Quantum Systems

DY 69.6: Poster

Thursday, March 15, 2018, 15:30–18:00, Poster A

Transport away from resonance channels in 4D symplectic maps — •Franziska Onken^{1, 2}, Arnd Bäcker^{1, 2}, and Roland Ketzmerick^{1, 2} — ¹TU Dresden, Institut für Theoretische Physik, Dresden — ²MPI für Physik komplexer Systeme, Dresden

The dynamics of Hamiltonian systems (e.g., planetary motion, electron dynamics in nano-structures, chemical reactions) can be understood by studying the corresponding symplectic Poincaré maps. A central new feature in higher-dimensional systems is the transport in resonance channels. While such channels are usually investigated in frequency space, we visualize the relevant invariant objects in phase space revealing a highly non-trivial geometry. Especially the transport away from the channel is governed by families of hyperbolic 1D-tori and their stable and unstable manifolds. We provide a visualization of a turnstile in higher dimensions and an approach to measure the corresponding transport.