Dresden 2017 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 61: Posters - Quantum Systems

DY 61.4: Poster

Thursday, March 23, 2017, 17:00–19:30, P1A

Resonance–assisted tunneling in 4D normal-form systems — •Markus Firmbach¹, Felix Fritzsch¹, Arnd Bäcker^{1, 2}, and Roland Ketzmerick^{1, 2} — ¹TU Dresden, Institut für Theoretische Physik, Dresden — ²MPI für Physik komplexer Systeme, Dresden

Nonlinear resonances are ubiquitous in higher–dimensional systems, however, a quantitative description of their influence on quantum dynamical tunneling is still lacking. To understand resonance–assisted tunneling in higher–dimensional system we use a 4D resonant normal-form system. Focusing on the case of a double resonance, we obtain tunneling rates showing resonance–assisted enhancement as well as suppression. Using quantum perturbation theory we reveal the underlying mechanism for these phenomena.