Topology and Spectral Entanglement in Cavity-Mediated Photon Scattering
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911163343699968 |
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| author | Bittner, Eric R. Piryatinski, Andrei |
| author_facet | Bittner, Eric R. Piryatinski, Andrei |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_15465 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topology and Spectral Entanglement in Cavity-Mediated Photon Scattering Bittner, Eric R. Piryatinski, Andrei Quantum Physics Mesoscale and Nanoscale Physics 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. |
| title | Topology and Spectral Entanglement in Cavity-Mediated Photon Scattering |
| topic | Quantum Physics Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2509.15465 |