  We investigate the dynamics of Bose-Einstein condensates (BEC) in a tilted
one-dimensional periodic lattice within the mean-field (Gross-Pitaevskii)
description. Unlike in the linear case the Bloch oscillations decay because of
nonlinear dephasing. Pronounced revival phenomena are observed. These are
analyzed in detail in terms of a simple integrable model constructed by an
expansion in Wannier-Stark resonance states. We also briefly discuss the pulsed
output of such systems for stronger static fields.
