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arXiv · 2307.06717

Classical Drift in the Arnold Web Induces Quantum Delocalization Transition

Jan Robert Schmidt·Arnd Bäcker·Roland Ketzmerick
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Abstract

We demonstrate that quantum dynamical localization in the Arnold web of higher-dimensional Hamiltonian systems is destroyed by an intrinsic classical drift. Thus quantum wave packets and eigenstates may explore more of the intricate Arnold web than previously expected. Such a drift typically occurs, as resonance channels widen toward a large chaotic region or toward a junction with other resonance channels. If this drift is strong enough, we find that dynamical localization is destroyed. We establish that this drift-induced delocalization transition is universal and is described by a single transition parameter. Numerical verification is given using a time-periodically kicked Hamiltonian with a four-dimensional phase space.

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Jan Robert Schmidt, Arnd Bäcker, Roland Ketzmerick. 2023-07-13. Classical Drift in the Arnold Web Induces Quantum Delocalization Transition. https://doi.org/10.1103/physrevlett.131.187201

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