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The nonequilibrium quantum dynamics of few boson ensembles which experience aspatially modulated interaction strength and are confined in finite opticallattices is investigated. We utilize a cosinusoidal spatially modulatedeffective interaction strength which is characterized by its wavevector,inhomogeneity amplitude, interaction offset and a phase. Performing quencheseither on the wavevector or the phase of the interaction profile an enhancedimbalance of the interatomic repulsion between distinct spatial regions of thelattice is induced. Following both quench protocols triggers various tunnelingchannels and a rich excitation dynamics consisting of a breathing and a cradlemode. All modes are shown to be amplified for increasing inhomogeneityamplitude of the interaction strength. Especially the phase quench induces adirectional transport enabling us to discern energetically, otherwise,degenerate tunneling pathways. Moreover, a periodic population transfer betweendistinct momenta for quenches of increasing wavevector is observed, while adirected occupation of higher momenta can be achieved following a phase quench.Finally, during the evolution regions of partial coherence are revealed betweenthe predominantly occupied wells.

Quench Dynamics of Finite Bosonic Ensembles in Optical Lattices with Spatially Modulated Interactions