Symmetries and transport in site-dependently driven quantum lattices
Quantum Physics
2014-11-13 v1 Statistical Mechanics
Abstract
We explore the quantum dynamics of particles in a spatiotemporally driven lattice. A powerful numerical scheme is developed, which provides us with the Floquet modes and thus enables a stroboscopic propagation of arbitrary initial states. A detailed symmetry analysis represents the cornerstone for an intricate manipulation of the Floquet spectrum. Specifically, we show how exact crossings can be converted into avoided ones, while the width of these resulting avoided crossings can be engineered by adjusting parameters of the local driving. Asymptotic currents are shown to be controllable over a certain parameter range.
Keywords
Cite
@article{arxiv.1408.3950,
title = {Symmetries and transport in site-dependently driven quantum lattices},
author = {Thomas Wulf and Christoph Petri and Benno Liebchen and Peter Schmelcher},
journal= {arXiv preprint arXiv:1408.3950},
year = {2014}
}