Theoretical analysis of quantum dynamics in 1D lattices: Wannier-Stark description

Thommen, Quentin; Garreau, Jean Claude; Zehnle, Veronique

Theoretical analysis of quantum dynamics in 1D lattices: Wannier-Stark description

Authors

Thommen, Quentin

Garreau, Jean Claude

Zehnle, Veronique

Description

This papers presents a formalism describing the dynamics of a quantum particle in a one-dimensional tilted time-dependent lattice. The description uses the Wannier-Stark states, which are localized in each site of the lattice and provides a simple framework leading to fully-analytical developments. Particular attention is devoted to the case of a time-dependent potential, which results in a rich variety of quantum coherent dynamics is found.
8 pages, 6 figures, submitted to PRA