Cooperativity and resonances in periodically driven spin-boson systems

We present an analytical recursive formulation for the quantum transport in symmetric two-level systems under the influence of both dissipation and periodic driving. The rate-matching condition for quantum stochastic resonance despite its different appearance is found to be physically the same as that in the classical case. Analyzed are also the Rabi resonance and its implication to quantum stochastic resonance. We demonstrate that no matter how weak the driving field is, transport can involve about 70% population in the vicinities of the third-harmonic as well as the fundamental-harmonic Rabi resonance. Recovered is also an adiabatic passage condition in which the transport carries a nearly 100% population in the low frequency and strong driving limit.