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Theoretical analysis of quantum dynamics in 1D lattices: Wannier-Stark description

By Quentin Thommen, Jean Claude Garreau and Veronique Zehnle


This papers presents a formalism describing the dynamics of a quantum particle in a one-dimensional tilted time-dependent lattice. The description uses the Wannier-Stark states, which are localized in each site of the lattice and provides a simple framework leading to fully-analytical developments. Particular attention is devoted to the case of a time-dependent potential, which results in a rich variety of quantum coherent dynamics is found.Comment: 8 pages, 6 figures, submitted to PR

Topics: Quantum Physics
Publisher: 'American Physical Society (APS)'
Year: 2001
DOI identifier: 10.1103/PhysRevA.65.053406
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