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We investigate how the quantum control of a two-level system (TLS) coupled tophotons can modify and tune the TLS's photon absorption spectrum. Tuning andcontrolling the emission and the absorption is of much interest e.g.\ for thedevelopment of efficient interfaces between stationary and flying qubits inmodern architectures for quantum computation and quantum communication. Weconsider the periodic pulse control, where the TLS is subjected to a periodicsequence of the near-resonant Rabi driving pulses, each pulse implementing a180$^\circ$ rotation. For small inter-pulse delays, the absorption spectrumfeatures a pronounced peak of stimulated emission at the pulse frequency, aswell as equidistant satellite peaks with smaller spectral weights. As long asthe detuning between the carrier frequency of the driving and the TLStransition frequency remains moderate, this spectral shape shows little change.Therefore, the quantum control allows shifting the absorption peak to a desiredposition, and locks the absorption peak to the carrier frequency of the drivingpulses. Detailed description of the spectrum, and its evolution as a functiontime, the inter-pulse spacing and the detuning, is presented.

Absorption Spectrum of a Two-Level System Subjected to a Periodic Pulse Sequence