ArXiv · 2026
We present new analytic continuation results for the dynamic structure factor S(q,ω) of the uniform electron liquid based on quasi-exact ab initio path integral Monte Carlo (PIMC) data for the imaginary-time density–density correlation function F(q,τ) across a broad range of temperatures. For this purpose, we employ both a traditional maximum entropy method solver, and a pre-optimized sparse Gaussian kernel representation as it has been implemented in the recent PyLIT package [Benedix Robles et al., Comp. Phys. Comm. 319, 109904 (2026)], and we identify potential advantages and disadvantages in both. We expect our results to be interesting for a broad range of topics, including the interpretation of x-ray Thomson scattering experiments with extreme states of matter and the construction of improved exchange–correlation kernels for linear-response time-dependent density functional theory.
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