Periodic wave packet reconstruction in truncated tight-binding lattices

Abstract

A class of truncated tight-binding Hermitian and non-Hermitian lattices with commensurate energy levels, showing periodic reconstruction of the wave packet, is presented. Examples include exact Bloch oscillations on a finite lattice, periodic wave packet dynamics in non-Hermtian lattices with a complex linear site-energy gradient, and self-imaging in lattices with commensurate energy levels quadratically-varying with the quantum number.