Signatures of correlated magnetic phases in the two-spin density matrix

In this collaboration we studied the reduced two-spin density matrix in doped quantum anti-ferromagnets, accessible by quantum gas microscopy using ultracold atoms. We show how the full-counting statistics of the system-averaged 2-spin density matrix can reveal direct signatures of ordered and disordered magnetic phases in these systems. Our results pave the way for a detailed investigation of the poorly understood normal phases observed at low doping in the Fermi-Hubbard model.