Structural complexity of Fermi Hubbard model snapshots in two dimensions

In recent years, the measure of structural complexity has emerged as a useful technique to detect the location of phase transitions. This concept relies on a series of coarse-graining steps performed on concatenated samples, which at the end of the procedure produces a single number. By detecting sharp changes in the structural complexity as a tuning parameter changes one is able to deduce the location of the transitions. This approach lends itself well to the study of experimental snapshots obtained with quantum gas microscopy, which correspond to projective measurements of local densities. In this work we study the evolution of the structural complexity in snapshots of the two-dimensional Fermi Hubbard model across different filling fractions and temperatures spanning the antiferromagnetic regime and the strange metallic regions.