An algebraic solution of driven single band tight binding dynamics
نویسنده
چکیده
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. PACS: 03.65.-w; 03.65.Fd;
منابع مشابه
An algebraic solution of driven tight binding and single band dynamics
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 ...
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