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The dynamics of a (quasi)one-dimensional interacting atomic Bose-Einsteincondensate in a tilted optical lattice is studied in a discrete mean-fieldapproximation, i.e., in terms of the discrete nonlinear Schr\"odinger equation.If the static field is varied the system shows a plethora of dynamicalphenomena. In the strong field limit we demonstrate the existence of (almost)non-spreading states which remain localized on the lattice region populatedinitially and show coherent Bloch oscillations with fractional revivals in themomentum space (so called quantum carpets). With decreasing field, the dynamicsbecomes irregular, however, still confined in configuration space. For evenweaker fields we find sub-diffusive dynamics with a wave-packet width spreadingas $t^{1/4}$.

Bose-Einstein condensates on tilted lattices: coherent, chaotic and subdiffusive dynamics