Site-resolved measurement of the spin-correlation function in the Hubbard model

Understand

Exotic phases of matter can emerge from strong correlations in quantum many-body systems.

• Quantum gas microscopy affords the opportunity to study these correlations with unprecedented detail.
• Here we report site-resolved observations of antiferromagnetic correlations in a two-dimensional, Hubbard-regime optical lattice and demonstrate the ability to measure the spin-correlation function over any distance.
• We measure the in-situ distributions of the particle density and magnetic correlations, extract thermodynamic quantities from comparisons to theory, and observe statistically significant correlations over three lattice sites.