Dynamical localization and the effects of aperiodicity in Floquet systems

Abstract

We study the localization aspects of a kicked non-interacting one-dimensional (1D) quantum system subject to either time-periodic or non-periodic pulses. These are reflected as sudden changes of the onsite energies in the lattice with different modulations in real space. When the modulation of the kick is incommensurate with the lattice spacing, and the kicks are periodic, a well known dynamical localization in real space is recovered for large kick amplitudes and frequencies. We explore the universality class of this transition and also test the robustness of localization under deviations from the perfect periodic case. We show that delocalization ultimately sets in and a diffusive spreading of an initial wave packet is obtained when the aperiodicity of the driving is introduced.

9 pages, 8 figures, as published

References in corpus (10)

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• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Dynamical control of matter-wave tunneling in periodic potentials
• Equilibrium states of generic quantum systems subject to periodic driving
• Many-body localization in periodically driven systems
• Exploring dynamic localization with a Bose-Einstein condensate
• Absence of dynamical localization in interacting driven systems
• Effects of interactions on periodically driven dynamically localized systems
• Dynamical Anderson transition in one-dimensional periodically kicked incommensurate lattices
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• Critical phase dualities in 1D exactly-solvable quasiperiodic models
• Floquet topological phase transitions in a periodically quenched dimer
• Proposal for Observing Yang-Lee Criticality in Rydberg Atomic Arrays
• Localization, multifractality, and many-body localization in periodically kicked quasiperiodic lattices
• Superfluidity vs prethermalisation in a nonlinear Floquet system
• Quantized charge transport in disordered Floquet topological insulators in the absence of Anderson localization
• Family of self-dual quasicrystals with critical Phases
• Detecting the $\pi$-axiverse through parametric resonance