An algebraic solution of driven single band tight binding dynamics
arXiv:quant-ph/0307203 · doi:10.1016/j.physleta.2003.08.038
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.
13 pages; revised version (changed title and sections 6,7, added references)
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