Localized-Diffusive and Ballistic-Diffusive Transitions in Kicked Incommensurate lattice

Abstract

By using the kicked Harper model, the effect of dynamical perturbations to the localized and ballistic phases in aperiodic lattice systems is investigated. The transition from the localized phase to diffusive phase via a critical sub-diffusion $t^{\alpha }$($t$:time) with $0<\alpha <1$ is observed. In addition, we first confirmed the existence of the transition from the ballistic phase to the diffusive phase via a critical super-diffusion with $1<\alpha <2$.

5 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:2107.14650

References in corpus (5)

• Wavepacket dynamics of the nonlinear Harper model
• Quantum Computation of a Complex System : the Kicked Harper Model
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• Scaling Properties of Dynamical Localization in Monochromatically Perturbed Quantum Maps: standard map and Anderson map
• Localization and delocalization properties in quasi-periodically driven one-dimensional disordered system