Topology and Spectral Entanglement in Cavity-Mediated Photon Scattering

2025/09/18 by Eric R. Bittner, Bittner, Eric R., Andrei Piryatinski +1 · 1 citation
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Mechanical and Optical Resonators #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2509.15465

openalex publication_date 2025/09/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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⁾(ω₁,ω₂) 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.

Citations

• Quantum fluids of light
• Electronic excitations: density-functional versus many-body Green’s-function approaches
• Solitons in conducting polymers
• �ber die Streuung von Licht an Licht nach der Diracschen Theorie

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• Scattering theory of frequency-entangled biphoton states facilitated by cavity polaritons

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