Quasiperiodic driving of Anderson localized waves in one dimension

Abstract

We consider a quantum particle in a one-dimensional disordered lattice with Anderson localization, in the presence of multi-frequency perturbations of the onsite energies. Using the Floquet representation, we transform the eigenvalue problem into a Wannier-Stark basis. Each frequency component contributes either to a single channel or a multi-channel connectivity along the lattice, depending on the control parameters. The single channel regime is essentially equivalent to the undriven case. The multi-channel driving substantially increases the localization length for slow driving, showing two different scaling regimes of weak and strong driving, yet the localization length stays finite for a finite number of frequency components.

10 pages, 9 figures

References in corpus (2)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Controlling conductance statistics of quantum wires by driving ac fields

Cited by in corpus (14)

• Thouless pumping and topology
• Localization, topology and quantized transport in disordered Floquet systems
• Quasiperiodic Floquet-Thouless energy pump
• `Muhammad Ali effect' and incoherent destruction of Wannier-Stark localization in a stochastic field
• Quasiperiodicity hinders ergodic Floquet eigenstates
• Driving-induced metamorphosis of transport in arrays of coupled resonators
• Mott, Floquet, and the response of periodically driven Anderson insulators
• Localization and delocalization properties in quasi-periodically driven one-dimensional disordered system
• Localization in periodically modulated speckle potentials
• Anderson localization without eigenstates in photonic quantum walks
• Transition between anomalous and Anderson localization in systems with non-diagonal disorder driven by time-periodic fields
• Presence and Absence of Delocalization-localization Transition in Coherently Perturbed Disordered Lattices
• Strong frequency dependence of transport in the driven Fano-Anderson model
• Localization and delocalization properties in quasi-periodically perturbed Kicked Harper and Harper models