Measuring 2-, 3-, 4-, and 5-point spin and charge correlations in the doped Fermi-Hubbard model

Even after decades of intense studies, a complete picture of the quantum phases of doped antiferromagnets at temperatures above the high-Tc superconductor is still lacking. With our Fermi gas microscope, we started systematic quantum simulations of homogeneously doped Hubbard systems reaching temperatures as low as 0.25 of the tunneling energy. We calculate multi-point spin and charge correlators and explore the onset of the highly debated pseudogap phase, comparing our results with advanced numerical methods based on QMC (Quantum Monte Carlo) and METTS (Minimally Entangled Typical Thermal State). Finding strong 3-, 4-, and 5-point correlators, we study the emergence and breakdown of polarons and magnetic strings attached to dopants.