Atto-localization in a one-dimensional lattice

Abstract

A simple tight-binding model with hopping to the nearest-neighbor sites in the field of attosecond pulse train is considered. A new form of localization, atto-localization, has been obtained. It is checked by simulating as realistically as possible the appropriate hopping in the lattice. This is a drastic change with respect to the Anderson localization. Examinations are performed on an ideal and a disordered lattice. Pair-correlations, density of states, inverse participation ratio and energy level statistics are calculated and verified. The condition under which atto-localization does not appear is also given.