Emergent Nonperturbative Universal Floquet Localization

TL;DR

This paper demonstrates a nonperturbative localization phenomenon in driven quasiperiodic lattices, showing that under specific conditions, all Floquet states become localized regardless of static properties, revealing a new universal behavior.

Contribution

The study introduces a nonperturbative localization plateau in Floquet systems, identified through advanced analytical techniques, independent of static localization and drive protocol.

Findings

Localization plateau emerges regardless of static properties

Optimal amplitude-to-frequency ratio induces full Floquet state localization

Localization is nonperturbative, breaking down at weak quasiperiodic potentials

Abstract

We show that a robust, nonperturbative localization plateau emerges in periodically driven quasiperiodic lattices, independent of the static localization properties and drive protocol. Using exact Floquet dynamics, Floquet perturbation theory, and optimal-order van Vleck analysis, we identify a fine-tuned amplitude-to-frequency ratio where all Floquet states become localized despite dense resonances. The van Vleck expansion achieves superasymptotic accuracy up to an optimal orde; it ultimately breaks down due to resonant hybridization at a weak quasiperiodic potential, revealing that the observed localization is nonperturbative.