利用本征态敏感性尖锐检测Floquet加热的起始
Sharp detection of the onset of Floquet heating using eigenstate sensitivity
AI总结：
提出用Floquet本征态对驱动形变的敏感性作为尖锐度量，检测低频加热起始，发现其出现尖锐最大值，并揭示该区域系统呈非遍历的慢玻璃态动力学。
摘要：
混沌Floquet系统在足够低的驱动频率下，已知会在热力学极限下加热到无限温度系综。然而在高驱动频率下，Floquet系统在稳健的预热相中保持能量稳定，具有指数长的加热时间。我们提出将Floquet本征态对驱动无穷小形变的敏感性（磁化率）作为检测这一加热转变的尖锐且灵敏的度量。它还能准确捕捉Floquet热化的各个区域（时间尺度）。特别地，我们发现，在接近无界加热起始的低频下，Floquet本征态对扰动具有最大敏感性，因此标度磁化率会出现尖锐的最大值。我们进一步将结果与局域可观测量的弛豫动力学联系起来，表明在Floquet加热起始附近，系统是非遍历的，具有缓慢的玻璃态动力学，尽管在所有驱动频率下都是不可积的。
英文摘要：
Chaotic Floquet systems at sufficiently low driving frequencies are known to heat up to an infinite temperature ensemble in the thermodynamic limit. However at high driving frequencies, Floquet systems remain energetically stable in a robust prethermal phase with exponentially long heating times. We propose sensitivity (susceptibility) of Floquet eigenstates against infinitesimal deformations of the drive, as a sharp and sensitive measure to detect this heating transition. It also captures various regimes (timescales) of Floquet thermalization accurately. Particularly, we find that at low frequencies near the onset of unbounded heating, Floquet eigenstates are maximally sensitive to perturbations and consequently the scaled susceptibility develops a sharp maximum. We further connect our results to the relaxation dynamics of local observables to show that near the onset of Floquet heating, the system is nonergodic with slow glassy dynamics despite being nonintegrable at all driving frequencies.
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