An algebraic solution of driven single band tight binding dynamics

Details An algebraic solution of driven single band tight binding dynamics An algebraic solution of driven single band tight binding dynamics

2003-07-28

arxiv.org/abs/quant-ph/0307203v2

Phys. Lett. A 317 (2003) 54-63

Physics

Quantum Physics

13 pages; revised version (changed title and sections 6,7, added references)

Scientific paper

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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