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    Emergent broadband polarization entanglement from electronic and phononic Stokes–anti-Stokes indistinguishability

    Diego Sier1,*, Lucas Valente1,*, Tiago A. Freitas2, Marcelo F. Santos3, Carlos H. Monken1, Raul Corrêa1,2, and Ado Jorio1,†

    • 1Departamento de Física, Universidade Federal de Minas Gerais, Belo Horizonte, Minas Gerais 30123-970, Brazil
    • 2IDOR/Pioneer Science Initiative, Rio de Janeiro, Rio de Janeiro 22281-010, Brazil
    • 3Instituto de Física, UFRJ, Rio de Janeiro, Rio de Janeiro 21941-972, Brazil

    • *These authors contributed equally to this work.
    • †Contact author: adojorio@fisica.ufmg.br

    Phys. Rev. A 112, 033702 – Published 3 September, 2025

    DOI: https://doi.org/10.1103/c8nj-chfn

    Abstract

    Recently [T. A. Freitas et al., Phys. Rev. A 108, L051501 (2023)], it was shown that, in a centrosymmetric cubic system, two photons from a broadband intense laser field can be converted into a pair of Stokes and anti-Stokes (SaS) entangled photons. While the previous work was based on symmetry arguments, here we present a fully quantum theory for the SaS scattering that properly explains, quantitatively describes, and provides a means to predict its spectral and polarization properties (for diamond). We also explore the possibilities offered by such a system, designing an entanglement map based on changes in the light-matter system. In particular, we show how the broadband polarization entanglement that emerges from the interference between electronic and phononic degrees of freedom in the SaS scattering depends on parameters such as the Stokes–anti-Stokes Raman shift, scattering geometry, and laser bandwidth, opening the avenue of exploration of such phenomenon in information processing.

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