An algebraic solution of driven single band tight binding dynamics

The dynamics of the driven single band 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. A classicalization of the tight binding model is discussed as...

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Bibliographic Details
Published in:Physics letters. A 2003-10, Vol.317 (1), p.54-63
Main Authors: Korsch, H.J., Mossmann, S.
Format: Article
Language:English
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Summary:The dynamics of the driven single band 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. A classicalization of the tight binding model is discussed as well as some illustrating examples of Bloch oscillations and dynamical localization effects. It is also shown that a dynamical invariant can be constructed.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2003.08.038