dorsal/arxiv
View SchemaAn algebraic solution of driven single band tight binding dynamics
| Authors | H. J. Korsch. S. Mossmann |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0307203 |
| URL | https://arxiv.org/abs/quant-ph/0307203 |
| DOI | 10.1016/j.physleta.2003.08.038 |
| Journal | Phys. Lett. A 317 (2003) 54-63 |
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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"abstract": "The dynamics of the driven tight binding model for Wannier-Stark systems is\nformulated and solved using a dynamical algebra. This Lie algebraic approach is\nvery convenient for evaluating matrix elements and expectation values. It is\nalso shown that a dynamical invariant can be constructed. A classicalization of\nthe tight binding model is discussed as well as some illustrating examples of\nBloch oscillations and dynamical localization effects.",
"arxiv_id": "quant-ph/0307203",
"authors": [
"H. J. Korsch. S. Mossmann"
],
"categories": [
"quant-ph"
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"doi": "10.1016/j.physleta.2003.08.038",
"journal_ref": "Phys. Lett. A 317 (2003) 54-63",
"title": "An algebraic solution of driven single band tight binding dynamics",
"url": "https://arxiv.org/abs/quant-ph/0307203"
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