Atomic motion in tilted optical lattices: an analytical approach
Quentin ThommenPhLAM - Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 (Campus Cité Scientifique - Bât. P5
- 2 Avenue Jean Perrin
- 59655 Villeneuve d’Ascq cedex - France)Jean Claude GarreauPhLAM - Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 (Campus Cité Scientifique - Bât. P5
- 2 Avenue Jean Perrin
- 59655 Villeneuve d’Ascq cedex - France)Véronique ZehnléPhLAM - Laboratoire de Physique des Lasers, Atomes et Molécules - UMR 8523 (Campus Cité Scientifique - Bât. P5
- 2 Avenue Jean Perrin
- 59655 Villeneuve d’Ascq cedex - France)
2004en
ABI
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This paper presents a formalism describing the dynamics of a quantum particle in a one-dimensional, time-dependent, tilted lattice. The formalism uses the Wannier-Stark states, which are localized in each site of the lattice, and provides a simple framework allowing fully-analytical developments. Analytic solutions describing the particle motion are explicit derived, and the resulting dynamics is studied.
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