Resonant torus-assisted tunneling.

Yi, Chang-Hwan; Yu, Hyeon-Hye; Kim, Chil-Min · Phys Rev E · 2016

basic_science · Level V

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Abstract

We report a new type of dynamical tunneling, which is mediated by a resonant torus, i.e., a nonisolated periodic orbit. To elucidate the phenomenon, we take an open elliptic cavity and show that a pair of resonances localized on two classically disconnected tori tunnel through a resonant torus when they interact with each other. This so-called resonant torus-assisted tunneling is verified by using Husimi functions, corresponding actions, Husimi function distributions, and the standard deviations of the actions.