Topological feature has become an intensively studied subject in many fields of physics. As a witness of topological phase, the edge states are topologically protected and may be helpful in quantum information processing. In this paper, we define a measure to quantify the dynamical localization of system and simulate the localization in the 1D Aubry-Andr\'{e} model. We find an interesting connection between the edge states and the dynamical localization of the system, this connection may be used as a signature of edge state and topological phase.
@article{arxiv.1311.7136,
title = {Dynamical signature of edge state in the 1D Aubry-Andr\'{e} model},
author = {H. Z. Shen and X. X. Yi and C. H. Oh},
journal= {arXiv preprint arXiv:1311.7136},
year = {2014}
}