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We use R-Matrix with Time-dependence (RMT) theory, with spin-orbit effectsincluded, to study krypton irradiated by two time-delayed XUV ultrashortpulses. The first pulse excites the atom to 4s$^{2}$4p$^{5}$5s. The secondpulse then excites 4s4p$^{6}$5s autoionising levels, whose population can beobserved through their subsequent decay. By varying the time delay between thetwo pulses, we are able to control the excitation pathway to the autoionisingstates. The use of cross-polarised light pulses allows us to isolate thetwo-photon pathway, with one photon taken from each pulse.

Resolving Ultra-Fast Spin-Orbit Dynamics in Heavy Many-Electron Atoms