2021/07/30 by Hiroaki Yamada, Kensuke S. Ikeda, Yamada, Hiroaki S. +2
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Differential Equations and Numerical Methods #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Opinion Dynamics and Social Influence #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2107.14650
openalex publication_date 2021/07/30 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28
We numerically study the single particle localization and delocalization\nphenomena of an initially localized wave packet in the kicked Harper model\n(KHM) and Harper model subjected to quasi-periodic perturbation composed of\nM-modes. Both models are localized in the monochromatically perturbed case\nM=1. KHM shows localization-delocalization transition (LDT) above M\≥2 as\nincrease of the perturbation strength eps. In contrast, in a time-continuous\nHarper model with the perturbation, it is confirmed that the localization\npersists for M=2 and the LDT occurs for M\≥ 3. Furthermore, we\ninvestigate the diffusive property of the delocalized wave packet in the KHM\nand Harper model for eps above the critical strength epsc\n( eps> epsc) comparing with other type systems without localization, which\ntakes place a ballistic to diffusive transition in the wave packet dynamics as\nthe increase of eps.\n