Berry Curvature and Bulk-Boundary Correspondence from Transport Measurement for Photonic Chern Bands

Abstract

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.

References in corpus (11)

• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• The Quantum Spin Hall Effect: Theory and Experiment
• Exploring Topological Phases With Quantum Walks
• Realization of quantum walks with negligible decoherence in waveguide lattices
• A 2D Quantum Walk Simulation of Two-Particle Dynamics
• An Aharonov-Bohm interferometer for determining Bloch band topology
• Interferometric approach to measuring band topology in 2D optical lattices
• Extracting the Quantum Geometric Tensor of an Optical Raman Lattice by Bloch State Tomography
• Topological spin texture of chiral edge states in photonic two-dimensional quantum walks

Cited by in corpus (4)

• Probing Bulk Band Topology from Time Boundary Effect in Synthetic Dimension
• Arbitrary-phase locking of fiber Mach-Zehnder interferometers
• Self-induced manipulation of biphoton entanglement in topologically distinct modes
• Spin-polarized scanning tunneling microscopy measurement scheme for determining the quantum geometric tensor