Exploring Electronic Dynamics Under Periodic Driving Through RIXS Simulations

Resonant Inelastic X-ray Scattering (RIXS) is a powerful spectroscopic technique that

provides detailed insights into the electronic structure and dynamics of materials. This project

focuses on simulating electron dynamics through RIXS, using a theoretical model to

understand intermediate states excited by resonant processes. By applying time-dependent

perturbation theory and a tight-binding model, we explore how electron excitations and de-

excitations between core and valence states manifest as signatures in the RIXS spectra.

Additionally, using Peierls substitution and Floquet theory, we simulate the response of

lattice electrons to external perturbations, such as oscillating electric fields, and derive an

equilibrium-like equation for the RIXS cross section.

The results reveal excitation features such as inelastic peaks, Floquet sidebands, and the

impact of lattice symmetry on electron behavior across different energy levels. The simulated

RIXS spectra shed light on the intermediate states of the material and offer a comprehensive

understanding of the electron dynamics that govern the material’s response to optical driving.