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An algebraic solution of driven single band tight binding dynamics

H. J. Korsch. S. Mossmann
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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.

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H. J. Korsch. S. Mossmann. 2003-09-01. An algebraic solution of driven single band tight binding dynamics. https://doi.org/10.1016/j.physleta.2003.08.038

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