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Hauptverfasser: Nain, Rohan, Dee, Philip M., Barros, Kipton, Johnston, Steven, Maier, Thomas A.
Format: Preprint
Veröffentlicht: 2026
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Online-Zugang:https://arxiv.org/abs/2603.25557
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author Nain, Rohan
Dee, Philip M.
Barros, Kipton
Johnston, Steven
Maier, Thomas A.
author_facet Nain, Rohan
Dee, Philip M.
Barros, Kipton
Johnston, Steven
Maier, Thomas A.
contents A promising application of machine learning is the creation of low-cost surrogate models to mitigate computational bottlenecks in quantum many-body simulations. Here, we explore whether a neural network (NN) can be trained in the low-data regime, with one to two orders of magnitude fewer training examples than previous works, as an efficient substitute for the impurity solver in dynamical mean-field theory simulations of correlated electron models. We show that the NN solver achieves accuracy comparable to popular continuous-time quantum Monte Carlo (CT-QMC) impurity solvers when interpolating between samples within the training set. While the NN's performance decreases notably when extrapolating to lower temperatures outside the training distribution, its output still provides an excellent initial guess for input to more accurate CT-QMC impurity solvers, thus accelerating the time to solution up to a factor of five. We discuss our results in the context of rapid phase-space exploration.
format Preprint
id arxiv_https___arxiv_org_abs_2603_25557
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Neural networks as low-cost surrogates for impurity solvers in quantum embedding methods
Nain, Rohan
Dee, Philip M.
Barros, Kipton
Johnston, Steven
Maier, Thomas A.
Strongly Correlated Electrons
A promising application of machine learning is the creation of low-cost surrogate models to mitigate computational bottlenecks in quantum many-body simulations. Here, we explore whether a neural network (NN) can be trained in the low-data regime, with one to two orders of magnitude fewer training examples than previous works, as an efficient substitute for the impurity solver in dynamical mean-field theory simulations of correlated electron models. We show that the NN solver achieves accuracy comparable to popular continuous-time quantum Monte Carlo (CT-QMC) impurity solvers when interpolating between samples within the training set. While the NN's performance decreases notably when extrapolating to lower temperatures outside the training distribution, its output still provides an excellent initial guess for input to more accurate CT-QMC impurity solvers, thus accelerating the time to solution up to a factor of five. We discuss our results in the context of rapid phase-space exploration.
title Neural networks as low-cost surrogates for impurity solvers in quantum embedding methods
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2603.25557