Atomic motion in tilted optical lattices
arXiv:quant-ph/0307118 · doi:10.1088/1464-4266/6/7/007
Abstract
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.
6 pages, 2 figs, submitted to EPJD, Springer Verlag style
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- Impurity transport through a strongly interacting bosonic quantum gas
- Delocalization-enhanced Bloch oscillations and driven resonant tunneling in optical lattices for precision force measurements
- Optical lattice quantum simulator for QED in strong external fields: spontaneous pair creation and the Sauter-Schwinger effect
- Many-body quantum dynamics of initially trapped systems due to a Stark potential --- thermalization vs. Bloch oscillations
- Two-dimensional Bloch oscillations: A Lie-algebraic approach
- A quantum motor: directed wavepacket motion in an optical lattice
- Resonant two-site tunnelling dynamics of bosons in a tilted optical superlattice
- Engineering the quantum transport of atomic wavefunctions over macroscopic distances