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Periodic wave packet reconstruction in truncated tight-binding lattices

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arxiv 1009.0162 v1 pith:JGCNJQR4 submitted 2010-09-01 cond-mat.other

classification cond-mat.other
keywords latticespacketperiodicwavecommensurateenergylevelsreconstruction
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A class of truncated tight-binding Hermitian and non-Hermitian lattices with commensurate energy levels, showing periodic reconstruction of the wave packet, is presented. Examples include exact Bloch oscillations on a finite lattice, periodic wave packet dynamics in non-Hermtian lattices with a complex linear site-energy gradient, and self-imaging in lattices with commensurate energy levels quadratically-varying with the quantum number.

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