Theoretical analysis of quantum dynamics in 1D lattices: Wannier-Stark description
arXiv:quant-ph/0112109 · doi:10.1103/PhysRevA.65.053406
Abstract
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.
8 pages, 6 figures, submitted to PRA
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