  We consider the non-equilibrium dynamics of a molecular level interacting
with local phonon modes in the case of a strong polaronic shift which prevents
a perturbative treatment of the problem. Instead, we find that in an adiabatic
regime when the electronic states react faster than the phonon modes it is
possible to provide a fully non-perturbative treatment of the phonon dynamics
including random noise and dissipation. The result shows intermittent switching
between bistable states of the oscillator with an effective random telegraph
noise.
