Generalized acceleration theorem for spatiotemporal Bloch waves
Quantum Gases
2011-08-10 v1
Abstract
A representation is put forward for wave functions of quantum particles in periodic lattice potentials subjected to homogeneous time-periodic forcing, based on an expansion with respect to Bloch-like states which embody both the spatial and the temporal periodicity. It is shown that there exists a generalization of Bloch's famous acceleration theorem which grows out of this representation and captures the effect of a weak probe force applied in addition to a strong dressing force. Taken together, these elements point at a "dressing and probing" strategy for coherent wave-packet manipulation, which could be implemented in present experiments with optical lattices.
Cite
@article{arxiv.1108.1883,
title = {Generalized acceleration theorem for spatiotemporal Bloch waves},
author = {Stephan Arlinghaus and Martin Holthaus},
journal= {arXiv preprint arXiv:1108.1883},
year = {2011}
}
Comments
12 pages, 4 figures