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Intense x-ray free-electron lasers (XFELs) offer unique opportunities to control inner-shell electrons on ultrafast timescales. This study presents a theoretical framework for modeling resonant x-ray scattering under intense ultrafast pulses, focusing on the coherent dynamics of Rabi oscillations. We employ a time-dependent Schr\"odinger equation approach to investigate the effects of high-intensity pulses on the single atom response which includes resonant fluorescence and elastic scattering channels, and competing decay processes. Our findings highlight the sensitivity of scattering responses to pulse parameters and initial states, with interference effects playing a significant role.
Venkatesh et al. (Tue,) studied this question.