论文标题
关于罗森兹维格 - 驱动器模型在非共性延长制度中的超级波多斯式行为
On super-Poissonian behavior of the Rosenzweig-Porter model in the non-ergodic extended regime
论文作者
论文摘要
Rosenzweig-porter模型已经引起了人们的兴趣，因为它在Ergodic扩展金属相和局部阶段之间表现出非共性的扩展相。这种阶段与许多物理模型有关，从高能物理和量子重力的Sachdev-Ye-Kitaev模型到凝结物理学和量子计算中的多体定位。该阶段的特征在于波形的分形行为，以及能量光谱的假定相关迷你频段结构。在这里，我们将寻求频谱中后者的证据。由于预计这种行为是在中间能量尺度上的频谱刚度是一种自然的逗弄它的方法。然而，由于展开过程中的无能和歧义，结果尚无定论。另一方面，通过使用奇异的值分解方法，在该制度中出现了超级波斯句行为的明确证据，与相关迷你频段的图片一致。
The Rosenzweig-Porter model has seen a resurgence in interest as it exhibits a non-ergodic extended phase between the ergodic extended metallic phase and the localized phase. Such a phase is relevant to many physical models from the Sachdev-Ye-Kitaev model in high-energy physics and quantum gravity, to the interacting many-body localization in condensed matter physics and quantum computing. This phase is characterized by fractal behavior of the wavefunctions, and a postulated correlated mini-band structure of the energy spectrum. Here we will seek evidence for the latter in the spectrum. Since this behavior is expected on intermediate energy scales spectral rigidity is a natural way to tease it out. Nevertheless, due to the Thouless energy and ambiguities in the unfolding procedure, the results are inconclusive. On the other hand, by using the singular value decomposition method, clear evidence for a super-Poissonian behavior in this regime emerges, consistent with a picture of correlated mini-bands.
