  An unit filling Bose-Hubbard Hamilonian embedded in strong Stark field is
studied in the off-resonant regime inhibiting single and many-particle first
order tunneling resonances. We investigate the occurrence of coherent dipole
wave-like propagation along of an optical lattice by means of an effective
Hamiltonian accounting for second order tunneling processes. It is shown that
dipole wavefunction evolution in the short-time limit is ballistic and that
finite size effects induce dynamical self-interference patterns known as
quantum carperts. We also present the effects of the border right after the
first reflection showing that the wavefunction diffuses normally with the
variance changing linearly in time. This work extends the rich physical
phenomenology of the tilted one dimensional lattice systems in a scenario of
many interacting quantum particles, the so-called many-body Wannier-Stark
system.
