Polarization-Resolved Photon Statistics of Cavity Quantum Materials

• URL: http://arxiv.org/abs/2606.11550v1
• Date: Wed, 10 Jun 2026 01:20:38 GMT
• Title: Polarization-Resolved Photon Statistics of Cavity Quantum Materials
• Abstract summary: We show that polarization-resolved statistics of photons transmitted through a cavity provide a diagnostic.<n>We apply this method to the stripy-to-antiferromagnetic transition in the Kitaev-Heisenberg spin model.<n>We predict measuring $g(2)$ for output photon pairs polarized to the input field will isolate higher-order light-matter scattering processes.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: By forming hybrid light-matter states, optical cavities offer a route for engineering material properties, however, unambiguously probing the effects of light-matter coupling remains difficult. Here, we show that the polarization-resolved statistics of photons transmitted through a cavity, measurable via $g^{(2)}$, provide one such diagnostic. By relating $g^{(2)}$ to matter correlation functions such as the Raman structure factor, we link photon bunching and antibunching to material properties. By applying this method to the stripy-to-antiferromagnetic transition in the Kitaev-Heisenberg spin model, we find that polarization-dependent patterns of bunching and antibunching encode the magnetic point-group symmetries of each phase and characterize the behavior at the phase boundary. Finally, we predict measuring $g^{(2)}$ for output photon pairs polarized orthogonal to the input field will isolate higher-order light-matter scattering processes that probe higher-order material correlations.

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