Dynamical Anderson transition in one-dimensional periodically kicked incommensurate lattices

Abstract

We study the dynamical localization transition in a one-dimensional periodically kicked incommensurate lattice, which is created by perturbing a primary optical lattice periodically with a pulsed weaker incommensurate lattice. The diffusion of wave packets in the pulsed optical lattice exhibits either extended or localized behaviors, which can be well characterized by the mean square displacement and the spatial correlation function. We show that the dynamical localization transition is relevant to both the strength of incommensurate potential and the kicked period, and the transition point can be revealed by the information entropy of eigenfunctions of the Floquet propagator.

6 pages, 6 figures

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Cited by in corpus (18)

• The Aubry-André model as the hobbyhorse for understanding localization phenomenon
• Dynamical signature of localization-delocalization transition in one-dimensional incommensurate lattice
• Dynamical localization and the effects of aperiodicity in Floquet systems
• Edge and bulk localization of Floquet topological superconductors
• The Elephant Quantum Walk
• Power law hopping of single particles in one-dimensional non-Hermitian quasicrystals
• Localization, multifractality, and many-body localization in periodically kicked quasiperiodic lattices
• Quasiperiodicity hinders ergodic Floquet eigenstates
• Quasiperiodic disorder induced critical phases in a periodically driven dimerized $p$-wave Kitaev chain
• Dynamical transitions in aperiodically kicked tight-binding models
• Barrier induced chaos in kicked rotor : classical sub-diffusion and quantum localization
• Mobility edges and critical regions in periodically kicked incommensurate optical Raman lattice
• Long-range hopping in a quasiperiodic potential weakens the non-Hermitian skin effect
• Phase transition in a Aubry-Andre system with rapidly oscillating magnetic field
• Generalized Aubry-Andre-Harper Models in Optical Superlattices
• Types of dynamical behavior in a quasiperiodic mosaic lattice
• Localization and delocalization properties in quasi-periodically perturbed Kicked Harper and Harper models
• Equivalence of dynamics of disordered quantum ensembles and semi-infinite lattices