Coherent control of atom dynamics in an optical lattice

Abstract

On the basis of a simple exactly solvable model we discuss the possibilities for state preparation and state control of atoms in a periodic optical potential. In addition to the periodic potential a uniform force with an arbitrary time dependence is applied. The method is based on a formal expression for the full evolution operator in the tight-binding limit. This allows us to describe the dynamics in terms of operator algebra, rather than in analytical expansions.

Phys. Rev. A 64, 033424 (2001)

Cited by in corpus (14)

• Classical chaos with Bose-Einstein condensates in tilted optical lattices
• Microwave Control of Atomic Motion in Optical Lattices
• Quasi-energies and Floquet states of two weakly coupled Bose-Einstein condensates under periodic driving
• Floquet analysis of the modulated two-mode Bose-Hubbard model
• Theory for the optimal control of time-averaged quantities in open quantum systems
• Discrete diffraction and shape-invariant beams in optical waveguide arrays
• A Finite Temperature Treatment of Ultracold Atoms in a 1-D Optical Lattice
• Resonances for coupled Bose-Einstein Condensates
• Coherent control of atomic transport in spinor optical lattices
• A quantum motor: directed wavepacket motion in an optical lattice
• Wavepacket reconstruction via local dynamics in a parabolic lattice
• Analogy between a two-well Bose-Einstein condensate and atom diffraction
• Synthesizing arbitrary dispersion relations in a modulated tilted optical lattice
• Adiabatic asymmetric scattering of atoms in the field of a standing wave