Quench-induced resonant tunneling mechanisms of bosons in an optical   lattice with harmonic confinement
  The non-equilibrium dynamics of small boson ensembles in a one-dimensional optical lattice is explored upon a sudden quench of an additional harmonic trap from strong to weak confinement. We find that the competition between the initial localization and the repulsive interaction leads to a resonant response of the system for intermediate quench amplitudes, corresponding to avoided crossings in the many-body eigenspectrum with varying final trap frequency. In particular, we show that these avoided crossings can be utilized to prepare the system in a desired state. The dynamical response is shown to depend on both the interaction strength as well as the number of atoms manifesting the many-body nature of the tunneling dynamics. 
G.M. Koutentakis, S.I. Mistakidis and P. Schmelcher
quant-ph cond-mat.quant-gas physics.atom-ph