From what I understand, for example in the Ising model ground state, we can probe the correlation function via neutron scattering, and the correlation function gives the magnetic susceptibility for the system. Is there a correlation function characteristics of spin waves, or something for us to know that it is there? Looking at the visualization like this

I imagine we must have some correlation between the spins. Furthermore, is there a throughout reference on this topic? Thank you!

Question from here: https://physics.stackexchange.com/questions/808977/what-is-the-signal-of-a-spin-wave, but no one answers me there.