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Updated: Jul 19, 2026

Resonance Raman Spectroscopy of Extreme Nanowires and Other 1D Systems
Published on: April 28, 2016
Influence of classical resonances on chaotic tunneling
Amaury Mouchet1, Christopher Eltschka, Peter Schlagheck
1Laboratoire de Mathématiques et de Physique Théorique, CNRS UMR 6083, Université François Rabelais Avenue Monge, Parc de Grandmont, 37200 Tours, France.
Abstract:
Dynamical tunneling between symmetry-related stable modes is studied in the periodically driven pendulum. We present strong evidence that the tunneling process is governed by nonlinear resonances that manifest within the regular phase-space islands on which the stable modes are localized. By means of a quantitative numerical study of the corresponding Floquet problem, we identify the trace of such resonances not only in the level splittings between near-degenerate quantum states, where they lead to prominent plateau structures, but also in overlap matrix elements of the Floquet eigenstates, which reveal characteristic sequences of avoided crossings in the Floquet spectrum. The semiclassical theory of resonance-assisted tunneling yields good overall agreement with the quantum-tunneling rates, and indicates that partial barriers within the chaos might play a prominent role.
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