An electromagnetic wave propagating through a waveguide with a strongly
coupled superconducting artificial two-level atom exhibits an evolving
superposition with the atom. The Rabi oscillations in the atom result from a
single excitation-relaxation, corresponding to photon absorption and stimulated
emission from/to the field. In this study, we investigate the time-dependent
behavior of the transmitted field and extract its spectra. The scattered fields
are described using input-output theory. We demonstrate that the time evolution
of the propagating fields, due to interaction, encapsulates all information
about the atom. Additionally, we deduce the dynamics of the incoherent
radiation component from the measured first-order correlation function of the
field.Comment: Main text: 6 pages, 4 figures; Supplemental Material: 4 pages, 1
figure; updated commen