  We employ the multi-configuration time-dependent Hartree method for bosons
(MCTDHB) in order to investigate the correlated non-equilibrium quantum
dynamics of two bosons confined in two colliding and uniformly accelerated
Gaussian wells. As the wells approach each other an effective, transient
double-well structure is formed. This induces a transient and oscillatory
over-barrier transport. We monitor both the amplitude of the intra-well dipole
mode in the course of the dynamics as well as the final distribution of the
particles between the two wells. For fast collisions we observe an emission
process which we attribute to two distinct mechanisms. Energy transfer
processes lead to an untrapped fraction of bosons and a resonant enhancement of
the deconfinement for certain kinematic configurations can be observed. Despite
the comparatively weak interaction strengths employed in this work, we identify
strong inter-particle correlations by analyzing the corresponding Von Neumann
entropy.
