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| Format: | Preprint |
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2026
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| Online Access: | https://arxiv.org/abs/2603.21540 |
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| _version_ | 1866914420065566720 |
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| author | Sim, Jian Xian |
| author_facet | Sim, Jian Xian |
| contents | Non-equilibrium dynamics of strongly and rapidly driven quantum many-body systems is poorly understood beyond periodic driving, where heating is exponentially slow in the drive frequency (Floquet Prethermalization). In contrast, non-periodic drives were found to exhibit widely different heating scalings with no unifying principle. This work identifies a resonance-suppression principle governing slow heating up to a prethermal lifetime $τ_*$: When the drive's spectral arithmetic structure restricts multiphoton resonances, $τ_*$ is controlled by low-frequency spectral suppression. The principle distinguishes (i) Single-photon suppression, quantified by a low-frequency suppression law $f(Ω)$ for the drive's Fourier Transform weight near $Ω=0$, from (ii) Multi-photon suppression, where nested commutators remain controlled if exceptional arithmetic structure satisfies a subadditive property. Remarkably, if multi-photon suppression holds, $τ_*$ scaling with drive speed $λ$ is governed by $f(Ω)$. This law of $τ_*$ is found through a small-divisor mechanism in this work's iterative rotating frame scheme. Multi-photon suppression breakdown separates $λ$-scaling of $τ_*$ in linear response and non-perturbative theory, shown by a case study of Quasi-Floquet driving. The principle is applied to (i) Resolve inconsistencies in literature on non-periodic driving, and (ii) Provide design principles for engineering prethermal phases of matter in programmable quantum simulators, exemplified by new non-periodic `Factorial' drives with tunable $τ_*$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_21540 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Resonance-Suppression Principle for Prethermalization beyond Periodic Driving Sim, Jian Xian Quantum Physics Statistical Mechanics Non-equilibrium dynamics of strongly and rapidly driven quantum many-body systems is poorly understood beyond periodic driving, where heating is exponentially slow in the drive frequency (Floquet Prethermalization). In contrast, non-periodic drives were found to exhibit widely different heating scalings with no unifying principle. This work identifies a resonance-suppression principle governing slow heating up to a prethermal lifetime $τ_*$: When the drive's spectral arithmetic structure restricts multiphoton resonances, $τ_*$ is controlled by low-frequency spectral suppression. The principle distinguishes (i) Single-photon suppression, quantified by a low-frequency suppression law $f(Ω)$ for the drive's Fourier Transform weight near $Ω=0$, from (ii) Multi-photon suppression, where nested commutators remain controlled if exceptional arithmetic structure satisfies a subadditive property. Remarkably, if multi-photon suppression holds, $τ_*$ scaling with drive speed $λ$ is governed by $f(Ω)$. This law of $τ_*$ is found through a small-divisor mechanism in this work's iterative rotating frame scheme. Multi-photon suppression breakdown separates $λ$-scaling of $τ_*$ in linear response and non-perturbative theory, shown by a case study of Quasi-Floquet driving. The principle is applied to (i) Resolve inconsistencies in literature on non-periodic driving, and (ii) Provide design principles for engineering prethermal phases of matter in programmable quantum simulators, exemplified by new non-periodic `Factorial' drives with tunable $τ_*$. |
| title | Resonance-Suppression Principle for Prethermalization beyond Periodic Driving |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2603.21540 |