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The non-equilibrium dynamics of small boson ensembles in a one-dimensionaloptical lattice is explored upon a sudden quench of an additional harmonic trapfrom strong to weak confinement. We find that the competition between theinitial localization and the repulsive interaction leads to a resonant responseof the system for intermediate quench amplitudes, corresponding to avoidedcrossings in the many-body eigenspectrum with varying final trap frequency. Inparticular, we show that these avoided crossings can be utilized to prepare thesystem in a desired state. The dynamical response is shown to depend on boththe interaction strength as well as the number of atoms manifesting themany-body nature of the tunneling dynamics.

Quench-induced resonant tunneling mechanisms of bosons in an optical lattice with harmonic confinement