Visualizing strange metallic correlations in the two-dimensional Fermi-Hubbard model with artificial intelligence
Physics and Astronomy
Physical Review A
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- A nd 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.
National Science Foundation
Ehsan Khatami, Elmer Guardado-Sanchez, Benjamin M. Spar, Juan Felipe Carrasquilla, Waseem S. Bakr, and Richard T. Scalettar. "Visualizing strange metallic correlations in the two-dimensional Fermi-Hubbard model with artificial intelligence" Physical Review A (2020). https://doi.org/10.1103/PhysRevA.102.033326
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