LOCALIZATION AND DEPHASING EFFECTS IN A TIME-DEPENDENT ANDERSON HAMILTONIAN

In this paper we study a generalization of the Anderson model of localization which includes time-dependent on-site randomness to elucidate the interplay between dephasing and localization. We find, in agreement with recent approximate treatments, that the inclusion of dephasing initially increases diffusion away from a localized state but then eventually inhibits spatial spreading of the wave function. For a delocalized state, dephasing can either monotonically decrease the diffusion rate or produce a weak maximum. © 1990 American Chemical Society.