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This study theoretically investigates signal amplification resulting frommultiple Rabi sideband coherence in a one-dimensional waveguide quantumelectrodynamical system. Specifically, we explore the behavior of a transmonwhile strongly driven by a coherent microwave field through a semi-infinitewaveguide. To understand the underlying mechanisms of amplification, we developa theory that explicitly takes into account multiple dressed sidebands under astrong driving field, and analyze the reflection amplitude of the probe signal.Our findings show that amplification can be related to either populationinversion or multiple sideband constructive interference in some cases withoutpopulation inversion. We further examine the effect of qubit dephasing duringthe amplification process.

Signal Amplification Assisted by Multiple Sideband Interference in 1D Waveguide QED Systems