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    Ultrastrong-Coupling Signatures in Photon Statistics from Terahertz Higgs Polaritons

    Spenser Talkington*, Benjamin Kass, and Martin Claassen†

    • *Contact author: spenser@upenn.edu
    • †Contact author: claassen@sas.upenn.edu

    Phys. Rev. Lett. 137, 196902 – Published 6 November, 2026

    DOI: https://doi.org/10.1103/hlk5-589d

    Abstract

    The ultrastrong coupling regime of cavity photons and quantum materials has emerged as a pathway to modify materials properties. However, definitive signatures of ultrastrong coupling remain elusive. Focusing on the quantum photon statistics of light transmitted through a cavity-embedded superconductor, we show that a two-photon Higgs polariton at strong coupling realizes a photonic nonlinearity at the single terahertz photon level. We find that as light-matter coupling increases, the photon statistics show pronounced changes due to the formation of a hybrid photon-matter dark-cavity state with finite photon occupancy, producing testable signatures of ultrastrong coupling. We derive a non-Markovian input output relation and study the cavity-embedded superconductor 2H−NbSe2 as it approaches ultrastrong light-matter coupling. Our results reveal a diagnostic for ultrastrong coupling in the two-photon coincidence statistics that is absent in total counts.

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