English

Temperature dependence of the dynamic structure factor of the electron liquid via analytic continuation

Computational Physics 2026-03-31 v1 Chemical Physics Plasma Physics

Abstract

We present new analytic continuation results for the dynamic structure factor S(q,ω)S(\mathbf{q},\omega) of the uniform electron liquid based on quasi-exact \emph{ab initio} path integral Monte Carlo (PIMC) data for the imaginary-time density--density correlation function F(q,τ)F(\mathbf{q},\tau) 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 \texttt{PyLIT} package [Benedix Robles \textit{et al.}, \textit{Comp.~Phys.~Comm.}~\textbf{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.

Keywords

Cite

@article{arxiv.2603.27212,
  title  = {Temperature dependence of the dynamic structure factor of the electron liquid via analytic continuation},
  author = {Thomas Chuna and Maximilian P. Böhme and Tobias Dornheim},
  journal= {arXiv preprint arXiv:2603.27212},
  year   = {2026}
}