Simulating Correlated Electrons with Symmetry-Enforced Normalizing Flows

• URL: http://arxiv.org/abs/2506.17015v1
• Date: Fri, 20 Jun 2025 14:13:47 GMT
• Title: Simulating Correlated Electrons with Symmetry-Enforced Normalizing Flows
• Authors: Dominic Schuh, Janik Kreit, Evan Berkowitz, Lena Funcke, Thomas Luu, Kim A. Nicoli, Marcel Rodekamp,
• Abstract summary: normalizing flows can accurately learn the Boltzmann distribution of the fermionic Hubbard model.<n>State-of-the-art methods like Hybrid Monte Carlo often suffer from ergodicity issues near the time-continuum limit.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: We present the first proof of principle that normalizing flows can accurately learn the Boltzmann distribution of the fermionic Hubbard model - a key framework for describing the electronic structure of graphene and related materials. State-of-the-art methods like Hybrid Monte Carlo often suffer from ergodicity issues near the time-continuum limit, leading to biased estimates. Leveraging symmetry-aware architectures as well as independent and identically distributed sampling, our approach resolves these issues and achieves significant speed-ups over traditional methods.

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