← Back to papers
Topology and Spectral Entanglement in Cavity-Mediated Photon Scattering
Eric R. Bittner, Andrei Piryatinski·September 18, 2025
Quantum PhysicsMesoscale Physics
AI Breakdown
Get a structured breakdown of this paper — what it's about, the core idea, and key takeaways for the field.
Abstract
We develop a diagrammatic theory of cavity-mediated photon-photon interactions in a topological insulator using the SSH model. The fourth-order vertex $Γ^{(4)}(ω_1,ω_2)$ governs spectral entanglement and Kerr nonlinearity, leading to a nonlinear topological phase diagram. We also compute the electronic self-energy from vacuum photon exchange and identify symmetry-imposed limits on band renormalization. These results link band geometry to the emergence of light-matter correlations.