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We experimentally observe the quantum geometric tensor, namely the quantummetric and the Berry curvature, for a square lattice of radiatively coupledplasmonic nanoparticles. We observe a non-zero Berry curvature and show that itarises solely from non-Hermitian effects. The quantum metric is found tooriginate from a pseudospin-orbit coupling. The long-range nature of theradiative interaction renders the behavior distinct from tight-binding systems:Berry curvature and quantum metric are centered around high-symmetry lines ofthe Brillouin zone instead of high-symmetry points. Our results inspire newpathways in the design of topological systems by tailoring losses or gain.

Observation of Quantum metric and non-Hermitian Berry curvature in a plasmonic lattice