Regensburg 2019 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 37: Quantum Chaos

DY 37.3: Talk

Wednesday, April 3, 2019, 16:00–16:15, H6

Transport timescales in mixed phase space systems — •George Datseris^{1, 2}, Lukas Hupe^{1, 2}, Theo Geisel^{1, 2}, and Ragnar Fleischmann^{1, 2} — ¹Max Planck Institute for Dynamics and Self-Organization — ²Faculty of Physics, Georg-August-Universität Göttingen

In Hamiltonian systems with mixed phase space, nonlinear resonances form islands of regular motion in a chaotic sea of irregular motion. It is a well known that chaotic trajectories can get trapped near nonlinear resonances leading to long time tails in the correlation decay. We recently found, however, that due to the link between transit times and phase space volume ratios (as manifested by Kac's lemma), nonlinear resonances may influence correlation decays on fast time scales as well, simply by the phase space volume they occupy. This can explain puzzling experimental observations in magneto-transport in electronic nanodevices.

We extend on this finding studying billiards models with mixed phase space, like the mushroom billiard, and explore the relation between the resonance phase space fractions and the Lyapunov exponent.