Quantum Geometry Metrology in Solids

This paper reviews recent advancements in experimentally accessing the Quantum Geometric Tensor (QGT) in real crystalline solids. It highlights the shift from focusing solely on Berry curvature to exploring the richer geometric content of Bloch bands, including the quantum metric. The paper discusses two approaches using ARPES: quasi-QGT and pseudospin tomography, detailing their physical meaning, implications, limitations, and future directions. This is significant because it opens new avenues for understanding and manipulating the properties of materials based on their quantum geometry.