论文标题
光谱形式对短距离级别统计的敏感性
Sensitivity of the spectral form factor to short-range level statistics
论文作者
论文摘要
光谱外形是量子系统水平统计量的动态探针。早期行为通常被解释为在大分离下两点相关的表征。我们认为，这种解释可以通过表明自我相关对随着时间的时间综合的光谱形式施加限制，这是过于限制的。更普遍地，我们指出，两点相关函数的每个膨胀系数都对适当加权的时间集成光谱形式施加了限制。我们讨论这些约束如何影响光谱形式的解释，以作为探针的探针。我们提出了一个新的探测器，以消除自相关施加的约束的效果。为随机不完整的光谱和支持多体定位的浮que素模型的模型证明了该探针的使用。
The spectral form factor is a dynamical probe for level statistics of quantum systems. The early-time behaviour is commonly interpreted as a characterization of two-point correlations at large separation. We argue that this interpretation can be too restrictive by indicating that the self-correlation imposes a constraint on the spectral form factor integrated over time. More generally, we indicate that each expansion coefficient of the two-point correlation function imposes a constraint on the properly weighted time-integrated spectral form factor. We discuss how these constraints can affect the interpretation of the spectral form factor as a probe for ergodicity. We propose a new probe, which eliminates the effect of the constraint imposed by the self-correlation. The use of this probe is demonstrated for a model of randomly incomplete spectra and a Floquet model supporting many-body localization.
