Probing the Fermi-Hubbard model through higher-order correlations

Conventional solid state experiments typically use momentum-space probes and focus on one and two-point correlation functions. In strongly correlated quantum materials, higher-order correlations can become crucial to fully characterize the many-body system. In particular when comparing different theories, going beyond two-point correlation functions can yield important insights. Quantum simulation, such as quantum gas microscopy of cold atoms in optical lattices, enables the measurement of such higher-order correlations as well as applications of machine learning techniques. In this talk I will discuss recent results on higher-order correlations in the Fermi-Hubbard and t-J model. We identify genuine higher-order correlations between spin and charge which dominate over lower-order terms and explain our findings with a semi-analytical theory.