  We perform a non-perturbative analysis of the dynamics of a two-level quantum
system subjected to repeated interactions with a bosonic environment when these
interactions are intense and localized in time. We use the Weyl relations to
obtain a closed expression for the resulting state of the spin despite the
non-perturbative nature of the problem. Furthermore, we study divisibility and
memory effects in the dynamics and draw conclusions about the role that the
quantum-mechanical features of the environment play on the dynamics of the
two-level system.
