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    Breakdown of Disorder-Suppressed Floquet Heating under Two-Frequency Driving

    Cooper M. Selco1,*, Christian Bengs1,2,3,*, Chaitali Shah1, and Ashok Ajoy1,2,†

    • *These authors contributed equally to this work.
    • †Contact author: ashokaj@berkeley.edu

    Phys. Rev. Lett. 136, 220801 – Published 4 June, 2026

    DOI: https://doi.org/10.1103/t953-lhht

    Abstract

    Periodic (Floquet) driving enables Hamiltonian engineering and nonequilibrium phases, but interacting systems eventually heat by absorbing energy from the drive. Disorder can greatly delay this process, yielding long-lived prethermal plateaus. Here, we show that this protection can fail when pulse-train control introduces a second driving frequency and when the disorder fluctuates. Using a natural-abundance C13 nuclear-spin network in diamond, we observe sharp peaks in the late-time heating rate at the double- and triple-spin-flip resonance conditions predicted by bimodal Floquet interference and track their evolution with drive frequency. A switching-noise model attributes the resonant absorption to stochastic electron-spin dynamics that intermittently tune rare nuclear clusters into multiphoton resonance. Our results reveal a resonance-activated limit for disorder-stabilized Floquet phases and suggest new routes to dc-field quantum sensing based on an abrupt breakdown of prethermalization.

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