12 papers
Discovering a well-conditioned analytic continuation problem via dictionary learning
Thomas Chuna, Phil-Alexander Hofmann, Alexander Benedix-Robles +1
Many fields of physics use quantum Monte Carlo (QMC) simulations to simulate quantum systems in imaginary-time and estimate imaginary-time correlation functions (ITCF). Howeve…
Reweighting Estimators for Density Response in Path Integral Monte Carlo: Applications to linear, nonlinear and cross-species density response
Pontus Svensson, Thomas Chuna, Jan Vorberger +5
We present density response estimators for Monte Carlo simulations that are based on a reweighting procedure, where the samples of an unperturbed system are used to estimate the pr…
Temperature dependence of the dynamic structure factor of the electron liquid via analytic continuation
Thomas Chuna, Maximilian P. Böhme, Tobias Dornheim
We present new analytic continuation results for the dynamic structure factor of the uniform electron liquid based on quasi-exact \emph{ab initio} path integral…
Mermin's dielectric function and the f-sum rule
Thomas Chuna, Jan Vorberger, Thomas Gawne +2
Mermin's dielectric function [N.D. Mermin, Phys. Rev. B 1, 2362 (1970)] is widely assumed to satisfy the f-sum rule because he constrains his ansatz with the continuity equation. H…
The noiseless limit and improved-prior limit of the maximum entropy method and their implications for the analytic continuation problem
Thomas Chuna, Nicholas Barnfield, Paul Hamann +3
Quantum Monte Carlo (QMC) methods are uniquely capable of providing exact simulations of quantum many-body systems. Unfortunately, the applications of a QMC simulation are limited…
Dual formulation of the maximum entropy method applied to analytic continuation of quantum Monte Carlo data
Thomas Chuna, Nicholas Barnfield, Tobias Dornheim +2
Many fields of physics use quantum Monte Carlo techniques, but struggle to estimate dynamic spectra via the analytic continuation of imaginary-time quantum Monte Carlo data. One of…