# Localization and delocalization properties in quasi-periodically perturbed kicked Harper and Harper models

@inproceedings{Yamada2021LocalizationAD, title={Localization and delocalization properties in quasi-periodically perturbed kicked Harper and Harper models}, author={Hiroaki S. Yamada and Kensuke S. Ikeda}, year={2021} }

We numerically study the single particle localization and delocalization phenomena of an initially localized wave packet in the kicked Harper model (KHM) and Harper model subjected to quasiperiodic perturbation composed of M−modes. Both models are localized in the monochromatically perturbed case M = 1. KHM shows localization-delocalization transition (LDT) above M ≥ 2 as increase of the perturbation strength ǫ. In a time-continuous Harper model with the perturbation, it is confirmed that the… Expand

#### Figures and Tables from this paper

#### References

SHOWING 1-10 OF 64 REFERENCES

Dynamical Localization and Delocalization in Polychromatically Perturbed Anderson Map

- Physics
- 2020

In the previous paper[arXiv:1911.02189], localization and delocalization phenomena in the polychromatically perturbed Anderson map (AM) were elucidated mainly from the viewpoint of… Expand

Critical phenomena of dynamical delocalization in quantum maps: Standard map and Anderson map.

- Physics, Medicine
- Physical review. E
- 2020

The self-consistent theory (SCT) of the localization is applied, taking a plausible hypothesis on the mean-free-path parameter which worked successfully in the analyses of the monochromatically perturbed QMs and comparing in detail the numerical results with the predictions of the SCT. Expand

From localization to anomalous diffusion in the dynamics of coupled kicked rotors.

- Physics, Medicine
- Physical review. E
- 2018

The results show that quantum mechanics can deeply alter the regularity or ergodicity properties of a many-body-driven system. Expand

Drive-induced delocalization in the Aubry-André model.

- Physics, Medicine
- Physical review. E
- 2018

The single particle delocalization phenomena of the Aubry-André (AA) model subjected to periodic drives is studied, exhibiting multifractality in the spectrum as well as in the Floquet eigenfunctions. Expand

Dynamical localization and the effects of aperiodicity in Floquet systems

- Physics
- 2017

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… Expand

The Aubry–André model as a hobbyhorse for understanding the localization phenomenon

- Physics
- European Journal of Physics
- 2019

We present a thorough pedagogical analysis of the single particle localization phenomenon in a quasiperiodic lattice in one dimension. Description of disorder in the lattice is represented by the… Expand

Scaling properties of dynamical localization in monochromatically perturbed quantum maps: Standard map and Anderson map.

- Physics, Mathematics
- Physical review. E
- 2018

Dynamical localization phenomena of monochromatically perturbed standard map (SM) and Anderson map (AM), which are both identified with a two-dimensional disordered system under suitable conditions,… Expand

Classical and quantum anomalous diffusion in a system of 2$\delta$-kicked Quantum Rotors

- Physics
- 2007

We study the dynamics of cold atoms subjected to {\em pairs} of closely time-spaced $\delta$-kicks from standing waves of light. The classical phase space of this system is partitioned into momentum… Expand

50 Years of Anderson Localization

- Physics
- 2010

Thoughts on Localization (P W Anderson) Anderson Localization in the Seventies and Beyond (D J Thouless) Weak Electron Localization Past and Present (T V Ramakrishnan) Self-Consistent Theory of… Expand

Critical phenomena of dynamical delocalization in a quantum Anderson map.

- Physics, Medicine
- Physical review. E, Statistical, nonlinear, and soft matter physics
- 2015

Using a quantum map version of the one-dimensional Anderson model, the localization-delocalization transition of quantum diffusion induced by coherent dynamical perturbation is investigated in… Expand