Path integral contour deformations for noisy observables
High Energy Physics - Lattice
2020-08-05 v1 Strongly Correlated Electrons
High Energy Physics - Phenomenology
High Energy Physics - Theory
Abstract
Monte Carlo studies of many quantum systems face exponentially severe signal-to-noise problems. We show that noise arising from complex phase fluctuations of observables can be reduced without introducing bias using path integral contour deformation techniques. A numerical study of contour deformations for correlation functions in Abelian gauge theory and complex scalar field theory demonstrates that variance can be reduced by orders of magnitude without modifying Monte Carlo sampling.
Cite
@article{arxiv.2003.05914,
title = {Path integral contour deformations for noisy observables},
author = {William Detmold and Gurtej Kanwar and Michael L. Wagman and Neill C. Warrington},
journal= {arXiv preprint arXiv:2003.05914},
year = {2020}
}
Comments
7 pages, 2 figures