 |
Center for Nonlinear Studies |
The development of quantum gas microscopy for two-dimensional optical lattices has provided an unparalleled tool to study the Fermi-Hubbard model with ultracold atoms in optical lattices. One of the hallmarks of quantum gas microscopy is the ability to generate spin-resolved projective measurements (or snapshots), which have played a significant role in quantifying correlation functions in strongly interacting many-body systems. Despite the great achievements, many questions remain open, in particular those pertaining to the pseudogap and strange metal regions, where complex patterns and competing orderings emerge and are hard to describe quantitatively. We extend an unbiased measure called multi-scale structural complexity to two spatial dimensions and apply it to projective measurements. The measure is obtained through successive coarse-graining steps and effectively aggregates information about correlations at different length scales. Given the large datasets attainable in experiments with quantum gas microscopes, the structural complexity presents itself as an immediately useful tool to analyze and understand the presence of non-trivial patterns in Fermi-Hubbard snapshots. In this talk I compare the structural complexities obtained with projective measurements generated with Determinant Quantum Monte Carlo against experimental data and show that these are linked to relevant physical observables such as the entropy, double occupancies, magnetic correlations, and relevant length scales in the system.
Host: Katarzyna Krzyzanowska