Dynamic localization in Glauber–Fock lattices

Abstract

Glauber–Fock lattices refer to a special class of semi-infinite tight-binding lattices with inhomogeneous hopping rates which are found in certain simple solid state, quantum optics and quantum field theoretical models. Here it is shown that dynamic localization, i.e. suppression of quantum diffusion and periodic quantum self-imaging by an external sinusoidal force (Dunlap and Kenkre 1986 Phys. Rev. B 34 3625), can be exactly realized in Glauber–Fock lattices, in spite of inhomogeneity of hopping rates and lattice truncation.