Dynamical signature of edge state in the 1D Aubry-André model

preprint2013arXivOpen access

Abstract

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-André 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.

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