Topology and Spectral Entanglement in Cavity-Mediated Photon Scattering
Eric R. Bittner, Andrei Piryatinski
公開日: 2025/9/18
Abstract
We develop a diagrammatic theory of cavity-mediated photon-photon interactions in a topological insulator using the SSH model. The fourth-order vertex $\Gamma^{(4)}(\omega_1,\omega_2)$ 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.