An algebraic solution of driven single band tight binding dynamics
Quantum Physics
2015-06-26 v2
Abstract
The dynamics of the driven tight binding model for Wannier-Stark systems is formulated and solved using a dynamical algebra. This Lie algebraic approach is very convenient for evaluating matrix elements and expectation values. It is also shown that a dynamical invariant can be constructed. A classicalization of the tight binding model is discussed as well as some illustrating examples of Bloch oscillations and dynamical localization effects.
Cite
@article{arxiv.quant-ph/0307203,
title = {An algebraic solution of driven single band tight binding dynamics},
author = {H. J. Korsch. S. Mossmann},
journal= {arXiv preprint arXiv:quant-ph/0307203},
year = {2015}
}
Comments
13 pages; revised version (changed title and sections 6,7, added references)