5 papers · 1 filter
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…
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…
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…
PyLIT: Reformulation and implementation of the analytic continuation problem using kernel representation methods
Alexander Benedix Robles, Phil-Alexander Hofmann, Thomas Chuna +2
Path integral Monte Carlo (PIMC) simulations are a cornerstone for studying quantum many-body systems. The analytic continuation (AC) needed to estimate dynamic quantities from the…