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Understanding the magnetic response of the normal state of the cuprates isconsidered a key piece in solving the puzzle of their high-temperaturesuperconductivity. The essential physics of these materials is believed to becaptured by the Fermi-Hubbard model, a minimal model that has been realizedwith cold atoms in optical lattices. Here we report on site-resolvedmeasurements of the Fermi-Hubbard model in a spin-imbalanced atomic gas,allowing us to explore the response of the system to large effective magneticfields. We observe short-range canted antiferromagnetism at half-filling withstronger spin correlations in the direction orthogonal to the magnetization, incontrast with the spin-balanced case where identical correlations are measuredfor any projection of the pseudospin. The rotational anisotropy of the spincorrelators is found to increase with polarization and with distance betweenthe spins. Away from half-filling, the polarization of the gas exhibitsnon-monotonic behavior with doping for strong interactions, resembling thebehavior of the magnetic susceptibility in the cuprates. We compare ourmeasurements to predictions from Determinantal Quantum Monte Carlo (DQMC) andNumerical Linked Cluster Expansion (NLCE) algorithms and find good agreement.Calculations on the doped system are near the limits of these techniques,illustrating the value of cold atom quantum simulations for studyingstrongly-correlated materials.

Observation of canted antiferromagnetism with ultracold fermions in an optical lattice