Multiple Core and Vibronic Coupling Effects in Attosecond Stimulated X-Ray Raman Spectroscopy

Attosecond Stimulated X-ray Raman Spectroscopy (SXRS) is a promising technique for investigating molecular electronic structure and photochemical processes with high spatial and temporal resolution. We present a theoretical study of SXRS from multiple core excitation sites of the same element. Two issues are addressed: interference between pathways contributing the signals from different sites and how nuclear vibrations influence the signals. Taking furan as a model system, which contains two types of carbons, C-alpha and C-beta we performed time-dependent density functional theory calculations and computed the SXRS signals with two pulses tuned at the carbon K-edge. Our simulations demonstrate that the SXRS signal from the C-alpha and C-beta sites are nonadditive, owing to the significant mixed contributions (C-alpha is excitations by the pump pulse followed by C-beta Is excitations by the probe, or vice verse). Harmonic vibrations linearly coupled to the electronic transitions are incorporated using the cumulant expansion. The nuclei act as a bath for electronic transitions which accelerate the decay of the time-domain signal. The frequency-domain spectrum is modified by a small red shift, and high-resolution fine-structure features are introduced.