Anderson Localization For The Quantum Kicked Rotor Model
Mathematical Physics
2019-10-01 v1 Functional Analysis
math.MP
Abstract
In this paper, we establish Anderson localization for the quantum kicked rotor model. More precisely, we proved that \begin{equation*} H=\tan\pi\left(x_0+my_0+\frac{m(m-1)}{2}\omega\right) \delta_{mn}+\epsilon S_\phi \end{equation*} has pure point spectrum with exponentially decaying eigenfunctions for almost all (diophantine condition).
Keywords
Cite
@article{arxiv.1909.13763,
title = {Anderson Localization For The Quantum Kicked Rotor Model},
author = {Jia Shi and Xiaoping Yuan},
journal= {arXiv preprint arXiv:1909.13763},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1909.06542 and arXiv:1908.00229