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We consider a finite-dimensional quantum system coupled to the bosonicradiation field and subject to a time-periodic control operator. Assuming thevalidity of a certain dynamic decoupling condition we approximate the system'stime evolution with respect to the non-interacting dynamics. For sufficientlysmall coupling constants $g$ and control periods $T$ we show that a certaindeviation of coupled and uncoupled propagator may be estimated by$\mathcal{O}(gt \, T)$. Our approach relies on the concept of Kato stabilityand general theory on non-autonomous linear evolution equations.

Suppression of Decoherence of a Spin-Boson System by Time-Periodic Control