Dynamics of the dissipative two-level system driven by external telegraph noise

The dissipative dynamics of a two-level system coupled to a thermal bath and driven by an external stochastic field is studied. Within an approach similar to the noninteracting-blip approximation, an integro-differential kinetic equation for the difference of the level populations averaged with respect to the bath is derived. An exact averaging of this kinetic equation is performed for the case of a dichotomous external force. The resulting equation is used to examine the long-range electron tunneling driven by external telegraph noise.