Fig. 3: Time-dependent renormalization of the spin fluctuations.
From: X-ray scattering from light-driven spin fluctuations in a doped Mott insulator

a, b Time evolution of the cross-polarized time-resolved resonant inelastic X-ray scattering (trRIXS) spectra for pump energy Ω = 10th and amplitude A0 = 0.6 at a x = 0 and b x = 0.167 doping. The momentum transfer is fixed at q = (π/2, π/2). The thin dashed line tracks the instantaneous peak positions of the spin fluctuation peak. The color bar indicates the spectral intensity in arbitrary units (a.u.). trRIXS spectra at t = 0 (center of the pump pulse) for variable pump amplitudes at c x = 0 and d x = 0.167 doping. Spin excitation energy ωq (the peak of the trRIXS intensity) as function of the pump amplitude at e x = 0 and f x = 0.167 doping. The energy width of these spectra includes a broadening due to the finite X-ray probe duration. The dashed line denotes pure photodoping effects (\(\gamma {\omega }_{{{{{{{{\bf{q}}}}}}}}}^{{{{{{{{\rm{eq}}}}}}}}}\), where \({\omega }_{{{{{{{{\bf{q}}}}}}}}}^{{{{{{{{\rm{eq}}}}}}}}}\) is the numerically evaluated magnon energy at equilibrium and γ is the instantaneous local moment defined in the text), while the solid line represents a Floquet linear spin-wave prediction of the magnon energies (including photodoping effects) (\(\gamma {\omega }_{{{{{{{{\bf{q}}}}}}}}}^{{{{{{{{\rm{FLSW}}}}}}}}}\)).