A newish area of interactions between quantum Monte Carlo (QMC) and experiments is in spin spectra. Recent improvements in stochastic analytic continuation have made it much easier to compare extract the dynamical spin structure factor, which correspond to the results of inelastic neutron scattering experiments.
My problem is that I don't have a good intuition for interpreting these spectra. They represent a complex quantity that includes density of states, dispersion relations, gaps, finite-temperature effects with a layer of noise on top.
Question: What are some tips for understanding these spectra? And for the experimental results: how to identify the important features and avoid getting confused by artifacts?