Quantum control of interacting bosons in periodic optical lattice

We study the avoided crossings in the dynamics of quantum controlled excitations for an interacting many-boson system in an optical lattice. Specifically, we perform numerical simulations of learning control in this system where the driving pulses connect the undriven stationary states in a manner characteristic of Stimulated Raman Adiabatic Passage (STIRAP). We demonstrate that the dynamics of such a transition is affected by chaos assisted passages, resulting in a loss in coherence of the final outcome in the adiabatic limit.