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

• URL: http://arxiv.org/abs/2604.03494v1
• Date: Fri, 03 Apr 2026 22:39:36 GMT
• Title: Breakdown of Disorder-Suppressed Floquet Heating under Two-Frequency Driving
• Abstract summary: Floquet driving enables Hamiltonian engineering and nonequilibrium phases, but interacting systems eventually heat by absorbing energy from the drive.<n> Disorder can greatly delay this process, yielding long-lived prethermal plateaus.<n>We show that this protection can fail when pulse-train control introduces a second driving frequency and when the disorder fluctuates.
• Score: 0.004946813276951616
• License: http://creativecommons.org/licenses/by/4.0/
• 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 13C 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 multi-photon 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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