Regensburg 2019 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 53: Poster Quantum Systems
DY 53.1: Poster
Donnerstag, 4. April 2019, 15:00–18:00, Poster B2
Resonance–assisted tunneling in 4D normal–form Hamiltonians — •Markus Firmbach1,2, Felix Fritzsch1, Roland Ketzmerick1,2, and Arnd Bäcker1,2 — 1TU Dresden, Institut für Theoretische Physik, Dresden — 2MPI für Physik komplexer Systeme, Dresden
Dynamical tunneling is a paradigmatic example of the interplay of classical phase-space structures and the quantum effect of tunneling. In particular the presence of classical nonlinear resonances leads to significant enhancement of tunneling known as resonance–assisted tunneling. We describe this resonance–assisted tunneling in a 4d normal–form Hamiltonian as it captures all fundamental features. Focusing on the case of a double resonance we study the morphology of the quantum states. Quantitatively we describe tunneling in terms of the weight of these states in classically disconnected regions. By applying perturbative methods we reveal the underlying mechanism and obtain excellent qualitative and quantitative agreement with numerical data.