  Time domain interferometry is a promising method to characterizes spatial and
temporal correlations at x-ray energies, via the so-called intermediate
scattering function and the related dynamical couple correlations. However, so
far, it has only been analyzed for classical target systems. Here, we provide a
quantum analysis, and suggest a scheme which allows to access quantum dynamical
correlations. We further show how TDI can be used to exclude classical models
for the target dynamics, and illustrate our results using a single particle in
a double well potential.
