Topology and Spectral Entanglement in Cavity-Mediated Photon Scattering
Quantum Physics
2025-09-22 v1 Mesoscale and Nanoscale Physics
Abstract
We develop a diagrammatic theory of cavity-mediated photon-photon interactions in a topological insulator using the SSH model. The fourth-order vertex 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.
Keywords
Cite
@article{arxiv.2509.15465,
title = {Topology and Spectral Entanglement in Cavity-Mediated Photon Scattering},
author = {Eric R. Bittner and Andrei Piryatinski},
journal= {arXiv preprint arXiv:2509.15465},
year = {2025}
}