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    Universal Scaling and Many-Body Resurrection of Polaritonic Double-Quantum Coherences

    Maxim Sukharev*

    • Department of Physics, Arizona State University, Tempe, Arizona 85287, USA and College of Integrative Sciences and Arts, Arizona State University, Mesa, Arizona 85212, USA

    • *Contact author: maxim.sukharev@asu.edu

    Phys. Rev. Lett. 137, 093802 – Published 25 August, 2026

    DOI: https://doi.org/10.1103/kjvq-zdnh

    Abstract

    The ultrafast nonlinear optical response of molecular ensembles is fundamentally altered under strong light-matter coupling. To rigorously isolate the genuine many-body contributions, an exact time-domain field-subtraction protocol is developed within a fully nonperturbative Maxwell-Liouville framework explicitly incorporating the two-exciton manifold in real space and time. This approach reveals that while collective cavity delocalization drives the macroscopic nonlinear signal toward a severe harmonic cancellation (an effect termed “spectral starvation”), intrinsic many-body molecular interactions robustly resurrect genuine polaritonic double-quantum coherences. This many-body resurrection is governed by a universal two-photon matching rule, ΔB+4J=ΩR, linking molecular anharmonicity (ΔB) to the macroscopic Rabi splitting (ΩR) and excitonic coupling (J). Crucially, this resonance exploits the spatial mismatch between macroscopic polaritons and localized two-exciton pairs to break harmonic cancellation. For J aggregates (J<0), this condition uniquely isolates the resonant many-body state below the dense manifold of localized dark states, protecting the macroscopic coherence from spatial fragmentation. This predictive framework establishes a direct phase diagram to engineer and protect optical nonlinearities across diverse strongly coupled platforms.

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