Dresden 2020 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 39: Quantum Chaos (joint session DY/TT)
DY 39.8: Talk
Wednesday, March 18, 2020, 17:15–17:30, HÜL 186
Geometry of complex instability in four-dimensional symplectic maps — •Jonas Stöber1,2 and Arnd Bäcker1,2 — 1TU Dresden, Institut für Theoretische Physik — 2MPI für Physik komplexer Systeme, Dresden
In four-dimensional symplectic maps complex instability of periodic orbits is possible, which cannot occur for the two-dimensional case. We investigate the transition from stable to complex unstable dynamics of a fixed point under parameter variation. The change in the geometry of regular structures is visualized using three-dimensional phase-space slices and in frequency space using the example of two coupled standard maps. The chaotic dynamics is studied using escape time plots and two-dimensional invariant manifolds associated with the complex unstable fixed point. Based on a normal-form description, we investigate the underlying transport mechanism by visualizing the escape paths and the long-time confinement in the surrounding of the complex unstable fixed point. Consequences for the quantum wave-packet dynamics are illustrated.