Tune in at invited session Quantum Geometry in Interacting Flat Bands
Abstract:We present the time-dependent Quantum Geometric Tensor (tQGT) as a comprehensive tool for capturing the geometric character of insulators observable within linear response. We show that tQGT describes the zero-point motion of bound electrons and acts as a generating function for generalized sum rules of electronic conductivity. It therefore enables a systematic framework for computing the instantaneous response of insulators, including optical mass, orbital angular momentum, and dielectric constant. This construction…
Nish shows how the time-domain current following a sudden electric-field step can measure the integrated quantum metric directly. The work is published in Physical Review Letters.
In this recorded University of Minnesota talk, Raquel develops a physical picture of quantum geometry for bound electrons in periodic lattices and connects it to measurable response.
Raquel received a 2025 Sloan Research Fellowship, which recognizes early-career scientists for exceptional promise.
Read the announcements from Columbia News and Columbia Physics.
Srijan joined the group as an undergraduate researcher. He works on band topology, quantum geometry, correlated quantum Hall response, and models of bismuth surfaces.
Carolina joined the group as a visiting PhD student from Tel Aviv University, co-advised with Roni Ilan. She studies coherent states, quantum geometry, and interacting topological bands.
We worked with Kin Chung Fong’s group to demonstrate how high-quality transmission-line resonators measure kinetic inductance and superfluid stiffness in two-dimensional superconductors. The work is published in Physical Review Research.
We worked with the Basov Laboratory to identify semi-Dirac fermions in ZrSiS through their characteristic magnetic-field scaling. The work is published in Physical Review X.
A recorded talk from the PCTS workshop “New Twists of Quantum Geometry” on how linear response reveals the geometry of quantum states.
We worked with the Pasupathy Research Group and the Roy Research Group to identify electronic bound states embedded inside the metallic continuum of Pd5AlI2. The preprint is available on arXiv.
We worked with the Basov Laboratory to use nano-terahertz spacetime interference to visualize interaction effects in graphene’s Dirac fluid. The work is published in Science Advances.