Stückelberg-interferometry with ultra-cold atoms

Stückelberg oscillations have been observed in recent experiments with ultra-cold atoms. We show that and how precisely ultra-cold atoms in an accelerated two-band lattice are a controlled realization of Landau-Zener-Stückelberg interferometry. We derive simple formulae for the time-dependent and time-averaged occupation of the energy bands and compute interference patterns for parameters directly accessible in experiments with ultra-cold atoms.