Figure 8.

Left: Averaging of the dynamic structure factor $S(\mathbf{q},\omega )$ for $T=1.2\text{K}$ and $q=1.62$ Å${}^{-1}$. Red (blue) curve: average of $N_{\text{s}}\sim {10}^2$ ($N_{\text{s}}\sim {10}^4$) noisy individual solutions. Right: Comparing PIMC results for $F(\mathbf{q},\tau )$ (black) and the reconstructed solution (red) for the same case as in Fig. 8. Note that $F(\mathbf{q},\tau )$ is symmetric with respect to $\beta /2$, i.e., $F(\mathbf{q},\tau )=F(\mathbf{q},\beta -\tau )$.