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The dynamics of driven spin boson model is studied analytically by means ofthe perturbation approach based on a unitary transformation. We gave theanalytical expression for the population difference and coherence of the twolevel system. The results show that in the weak driven case, the populationdifference present damped coherent oscillation (single or double frequency) andthe frequencies depend on the initial state. The coherence exhibit dampedoscillation with Rabi frequency. When driven field is strong enough, thepopulation difference exhibit undamped large-amplitude coherent oscillation.The results easily return to the two extreme cases without dissipation orwithout periodic driven.Comment: 15 pages,5 figure

Non-Markovian coherence dynamics of a driven spin-boson model: Damped quantum-beat or large-amplitude coherence oscillation