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We study a system consisting of a superconducting flux qubit strongly coupledto a microwave cavity. Externally applied qubit driving is employed in order tomanipulate the spectrum of dressed states. We observe resonance narrowing inthe region where the splitting between the two dressed fundamental resonancesis tuned to zero. The narrowing in this region of overlapping resonances can beexploited for long-time storage of quantum states. In addition, we measure theresponse to strong cavity mode driving, and find a qualitative deviationbetween the experimental results and the predictions of a semiclassical model.On the other hand, good agreement is obtained using theoretical predictionsobtained by numerically integrating the master equation governing the system'sdynamics. The observed response demonstrates a process of a coherentcancellation of two meta-stable dressed states.

Driving-induced resonance narrowing in a strongly coupled cavity-qubit system