论文标题
部分可观测时空混沌系统的无模型预测
Large scale behavior of the energy spectra of the quantum random antiferromagnetic Ising chain with mixed transverse and longitudinal fields
论文作者
论文摘要
近年来，很明显，表现出许多人体定位（MBL）行为的系统的金属状态显示出与单个粒子安德森政权的香草金属区域完全不同的特性。在这里，我们表明，具有MBL的规范显微镜模型的大型能量光谱，在中间尺度上显示非宇宙行为，这与与单个粒子Anderson Secmime中所见的普遍性不同。揭示这种行为的关键步骤是使用奇异值分解（SVD）进行的频谱的全局展开，该频谱考虑了样品以样品的样品波动的样品波动。可以直接通过scree图直接观察到频谱属性，也可以使用SVD展开光谱，然后执行许多状态方差计算。两种方法都揭示了遵循超级Posissonian统计的中间能量尺度。
In recent years it became clear that the metallic regime of systems that exhibit a many body localization (MBL) behavior show properties which are quite different than the vanilla metallic region of the single particle Anderson regime. Here we show that the large scale energy spectrum of a canonical microscopical model featuring MBL, displays a non-universal behavior at intermediate scales, which is distinct from the deviation from universality seen in the single particle Anderson regime. The crucial step in revealing this behavior is a global unfolding of the spectrum performed using the singular value decomposition (SVD) which takes into account the sample to sample fluctuations of the spectra. The spectrum properties may be observed directly in the singular value amplitudes via the scree plot, or by using the SVD to unfold the spectra and then perform a number of states variance calculation. Both methods reveal an intermediate scale of energies which follow super Posissonian statistics.
