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We show that the probability distribution of the stationary state of adissipative ac-driven two-level system exhibits discontinuities, i.e. jumps,for parameters at which coherent destruction of tunneling takes place. Thesediscontinuities can be observed as jumps in the emission of the Mollow triplet.The jumps are the consequence of discontinuities in the transition rates, whichwe calculate numerically and analytically based on the secular Floquet-Redfieldformalism.

Discontinuities in driven spin-boson systems due to coherent destruction of tunneling: breakdown of the Floquet-Gibbs distribution