Dresden 2017 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 32: Quantum Chaos

DY 32.4: Vortrag

Mittwoch, 22. März 2017, 10:45–11:00, HÜL 186

Complex-Path Prediction of Resonance-Assisted Tunneling in MixedSystems — •Felix Fritzsch^{1, 2}, Arnd Bäcker^{1, 2}, Roland Ketzmerick^{1, 2}, and Normann Mertig^{1, 2, 3} — ¹TU Dresden, Institut für Theoretische Physik, Dresden — ²MPI für Physik komplexer Systeme, Dresden — ³Department of Physics, Tokyo Metropolitan University, Tokyo

Dynamical tunneling occurs between regular and chaotic regions of a system with a mixed phase space. We present a semiclassical theory for regular-to-chaotic tunneling, which also describes the resonance-assisted enhancement due to a nonlinear resonance chain in the classical phase space. Based on an integrable approximation with one nonlinear resonance chain we derive a complex-path prediction based on just a few phase-space properties [1]. We illustrate our approach with the paradigmatic model of the standard map where excellent agreement with numerically determined tunneling rates is observed.

[1] arXiv:1609.09276 [nlin.CD] (2016)