Ultracold atoms are an ideal setting to study non-equilibrium quantum many-body dynamics in a very controlled way. I will present a series of experiments in the context of strongly correlated atomic bosons in 1D geometry. Specifically, we study the dynamics in 1D after a sudden quench of the system’s Hamiltonian, for which we independently control J, the (coherent) tunneling rate, U, the strength of the interaction, and E, a tilt along the longitudinal direction. For a quench to U˜E we couple to nearest neighbors collectively and observe characteristic oscillations in the number of double occupancies that we analyze in the many-body context [1,2]. For U/2˜E, U/3˜E etc. we observe collective long-range tunneling to next-nearest neighbors and beyond. In particular, for U/3˜E we observe dynamics due to the higher-order super-exchange interaction scaling as J^3/U^2 . For J˜U<<E we observe interaction-induced quantum phase revivals, and for J˜U˜E we find evidence for the transition to the quantum chaotic regime . If time allows, I will give an outlook on our endeavor to realize ultracold bosonic molecular systems in 1D with “real” long-range interactions .
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 Observation of density-induced tunneling, O. Jürgensen, et al., Phys. Rev. Lett. 113, 193003 (2014)
 Observation of many-body long-range tunneling after a quantum quench, F. Meinert et al., Science 344, 1259 (2014)
 Interaction-induced quantum phase revivals and evidence for the transition to the quantum chaotic regime in 1D atomic Bloch oscillations, F. Meinert et al., Phys. Rev. Lett. 112, 193003 (2014)
 Ultracold dense samples of dipolar RbCs molecules in the rovibrational and hyperfine ground state, T. Takekoshi et al, Phys. Rev. Lett. 113, 205301 (2014)