Theoretical analysis of quantum dynamics in one-dimensional lattices: Wannier-Stark description
Quentin ThommenLaboratoire de Physique des Lasers, Atomes et Molécules, Centre d’Etudes et de Recherches Laser et Applications, Université des Sciences et Technologies de Lille, F-59655 Villeneuve d’Ascq Cedex, FranceJean Claude GarreauLaboratoire de Physique des Lasers, Atomes et Molécules, Centre d’Etudes et de Recherches Laser et Applications, Université des Sciences et Technologies de Lille, F-59655 Villeneuve d’Ascq Cedex, FranceVéronique ZehnléLaboratoire de Physique des Lasers, Atomes et Molécules, Centre d’Etudes et de Recherches Laser et Applications, Université des Sciences et Technologies de Lille, F-59655 Villeneuve d’Ascq Cedex, France
2002en
ABI
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This paper 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.
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