Theoretical analysis of quantum dynamics in 1D lattices: Wannier-Stark description
Quantum Physics
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0112109,
title = {Theoretical analysis of quantum dynamics in 1D lattices: Wannier-Stark description},
author = {Quentin Thommen and Jean Claude Garreau and Veronique Zehnle},
journal= {arXiv preprint arXiv:quant-ph/0112109},
year = {2007}
}
Comments
8 pages, 6 figures, submitted to PRA