Toward Scalable Normalizing Flows for the Hubbard Model

Fuente: arXiv
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Main Authors: Kreit, Janik, Bulgarelli, Andrea, Funcke, Lena, Luu, Thomas, Schuh, Dominic, Singh, Simran, Verzichelli, Lorenzo
Format: Preprint
Published: 2026
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author Kreit, Janik
Bulgarelli, Andrea
Funcke, Lena
Luu, Thomas
Schuh, Dominic
Singh, Simran
Verzichelli, Lorenzo
author_facet Kreit, Janik
Bulgarelli, Andrea
Funcke, Lena
Luu, Thomas
Schuh, Dominic
Singh, Simran
Verzichelli, Lorenzo
contents Normalizing flows have recently demonstrated the ability to learn the Boltzmann distribution of the Hubbard model, opening new avenues for generative modeling in condensed matter physics. In this work, we investigate the steps required to extend such simulations to larger lattice sizes and lower temperatures, with a focus on enhancing stability and efficiency. Additionally, we present the scaling behavior of stochastic normalizing flows and non-equilibrium Markov chain Monte Carlo methods for this fermionic system.
format Preprint
id arxiv_https___arxiv_org_abs_2601_18273
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Toward Scalable Normalizing Flows for the Hubbard Model
Kreit, Janik
Bulgarelli, Andrea
Funcke, Lena
Luu, Thomas
Schuh, Dominic
Singh, Simran
Verzichelli, Lorenzo
Strongly Correlated Electrons
Machine Learning
High Energy Physics - Lattice
Normalizing flows have recently demonstrated the ability to learn the Boltzmann distribution of the Hubbard model, opening new avenues for generative modeling in condensed matter physics. In this work, we investigate the steps required to extend such simulations to larger lattice sizes and lower temperatures, with a focus on enhancing stability and efficiency. Additionally, we present the scaling behavior of stochastic normalizing flows and non-equilibrium Markov chain Monte Carlo methods for this fermionic system.
title Toward Scalable Normalizing Flows for the Hubbard Model
topic Strongly Correlated Electrons
Machine Learning
High Energy Physics - Lattice
url https://arxiv.org/abs/2601.18273