  Berry curvature is a fundamental element to characterize topological quantum
physics, while a full measurement of Berry curvature in momentum space was not
reported for topological states. Here we achieve two-dimensional Berry
curvature reconstruction in a photonic quantum anomalous Hall system via Hall
transport measurement of a momentum-resolved wave packet. Integrating measured
Berry curvature over the two-dimensional Brillouin zone, we obtain Chern
numbers corresponding to -1 and 0. Further, we identify bulk-boundary
correspondence by measuring topology-linked chiral edge states at the boundary.
The full topological characterization of photonic Chern bands from Berry
curvature, Chern number, and edge transport measurements enables our photonic
system to serve as a versatile platform for further in-depth study of novel
topological physics.
