Anderson Localisation for periodically driven systems

Abstract

We study the persistence of localization for a strongly disordered tight-binding Anderson model on the lattice ${\mathbb{Z}}^d$, periodically driven on each site. Under two different sets of conditions, we show that Anderson localization survives if the driving frequency is higher than some threshold value that we determine. We discuss the implication of our results for recent development in condensed matter physics, we compare them with the predictions issuing from adiabatic theory, and we comment on the connexion with Mott's law, derived within the linear response formalism.

arXiv comment28 pages, 2 figures

References in corpus (8)

• Floquet Topological Insulator in Semiconductor Quantum Wells
• Localization protected quantum order
• Exponentially slow heating in periodically driven many-body systems
• Effective Hamiltonians, prethermalization and slow energy absorption in periodically driven many-body systems
• Phase Structure of 1d Interacting Floquet Systems I: Abelian SPTs
• Dynamical Localization for Unitary Anderson Models
• Regimes of heating and dynamical response in driven many-body localized systems
• Scattering theory for Hamiltonians periodic in time