More technically, quantum geometry refers to the shape of a spacetime manifold as experienced by D-branes, which includes quantum corrections to the metric tensor, such as the worldsheet instantons.

Oct 10, 2025 · Quantum geometry is the geometric structure that naturally arises in the space of quantum states when such states depend on continuous parameters.

In condensed matter systems, quantum geometry refers to the geoemtric properties of Bloch states in the Brillouin zone. This pedagogical review provides an accessible introduction to the concept of …

Sep 25, 2024 · A decade after the discovery of the “amplituhedron,” physicists have excavated more of the timeless geometry underlying the standard picture of how particles move.

Dec 11, 2023 · The significance of the full quantum geometry, including the amplitude distance characterized by the quantum metric, has started to receive attention in the last few years. Various …

Sep 19, 2024 · Such quantum geometry, comprising Berry curvature and the quantum metric, can thus exert profound influences on various properties of materials. The dipoles of both Berry curvature and …

We work on quantum geometry, an area where mathematical structures are developed which are adapted to problems of quantization of physical systems and their dualities using methods from …

An interesting, but perhaps limiting approach, involves `quantum' Riemannian geometry [3] in place of the classical Riemannian manifold that is employed in the well-known, Einstein's classical approach …

May 26, 2024 · Quantum Geometry focuses on quantizing geometric quantities, leading to discrete lengths, areas, and volumes compared to classical continuous properties. This quantization stems …

Mar 6, 2025 · This review highlights the close relationship between quantum geometry and nonlinear response, showing the way towards promising probes of quantum geometry and enabling novel …