English

Visualizing Strange Metallic Correlations in the 2D Fermi-Hubbard Model with AI

Strongly Correlated Electrons 2020-12-24 v3 Disordered Systems and Neural Networks Quantum Gases

Abstract

Strongly correlated phases of matter are often described in terms of straightforward electronic patterns. This has so far been the basis for studying the Fermi-Hubbard model realized with ultracold atoms. Here, we show that artificial intelligence (AI) can provide an unbiased alternative to this paradigm for phases with subtle, or even unknown, patterns. Long- and short-range spin correlations spontaneously emerge in filters of a convolutional neural network trained on snapshots of single atomic species. In the less well-understood strange metallic phase of the model, we find that a more complex network trained on snapshots of local moments produces an effective order parameter for the non-Fermi-liquid behavior. Our technique can be employed to characterize correlations unique to other phases with no obvious order parameters or signatures in projective measurements, and has implications for science discovery through AI beyond strongly correlated systems.

Keywords

Cite

@article{arxiv.2002.12310,
  title  = {Visualizing Strange Metallic Correlations in the 2D Fermi-Hubbard Model with AI},
  author = {Ehsan Khatami and Elmer Guardado-Sanchez and Benjamin M. Spar and Juan Felipe Carrasquilla and Waseem S. Bakr and Richard T. Scalettar},
  journal= {arXiv preprint arXiv:2002.12310},
  year   = {2020}
}

Comments

12 pages, 9 figures; updated in accord with the published version

R2 v1 2026-06-23T13:56:36.046Z