  We investigate particle emission from a Bose-Einstein condensate with
periodically modulated interactions in a one-dimensional lattice. Within
perturbative analysis, which leads to instabilities for discrete modes, we
obtain the main regimes where the system can emit a large particle jet, and
find that the emission is distinctly intermittent rather than continuous. The
time evolution of the trapped particles exhibits a stair-like decay, and a
larger drive induces a more significant intermittency. We further shed light on
the dynamics of the stimulating process, and demonstrate that instead of a real
suspension, the intermittency represents a build-up stage of the system. The
theoretical framework might be generalized to the explorations on multiple-site
systems with analogous configurations and couplings, and offer new insights
into other fundamental nonequilibrium problems.
