Dynamic localization in Glauber-Fock lattices

TL;DR

This paper demonstrates that dynamic localization, a quantum phenomenon where diffusion is suppressed and self-imaging occurs periodically, can be exactly achieved in Glauber-Fock lattices despite their inhomogeneous structure.

Contribution

It provides an exact realization of dynamic localization in Glauber-Fock lattices, extending the understanding of quantum control in inhomogeneous lattice systems.

Findings

Dynamic localization can be exactly realized in Glauber-Fock lattices.

Inhomogeneity and truncation do not prevent quantum self-imaging.

The phenomenon is analogous to that in homogeneous lattices despite structural differences.

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 [D.H. Dunlap and V.M. Kenkre, Phys. Rev. B {\bf 34}, 3625 (1986)], can be exactly realized in Glauber-Fock lattices, in spite of inhomogeneity of hopping rates and lattice truncation.