Classical Drift in the Arnold Web Induces Quantum Delocalization Transition

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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.


Original languageEnglish
Article number187201
Number of pages1
JournalPhysical review letters
Issue number18
Publication statusPublished - 30 Oct 2023

External IDs

ORCID /0000-0003-3464-4472/work/147674794
Scopus 85177454245