论文标题
连贯的前向散射是对关键无序培养基中多重纹理的强大探针
Coherent forward scattering as a robust probe of multifractality in critical disordered media
论文作者
论文摘要
我们研究了关键无序系统中的相干前向散射（CFS），其本征态是多重分子的。我们给出了一般和简单的参数，使能够充分表征CFS峰的形状和高度的动力学。我们表明该动力学由多型尺寸$ d_1 $和$ d_2 $控制，这表明CFS可以用作量子多纹解性的实验探针。我们的预测是通用和数值验证的量子多发性模型：幂律随机带矩阵（PRBM），ruijsenaars-schneider semembles（RS）和三维踢脚 - 踢旋风（3DKR）。在强大的多重分裂状态中，我们在分析上表明，这些通用预测与应用于PRBM和RS模型的标准扰动理论的结果完全一致。
We study coherent forward scattering (CFS) in critical disordered systems, whose eigenstates are multifractals. We give general and simple arguments that make it possible to fully characterize the dynamics of the shape and height of the CFS peak. We show that the dynamics is governed by multifractal dimensions $D_1$ and $D_2$, which suggests that CFS could be used as an experimental probe for quantum multifractality. Our predictions are universal and numerically verified in three paradigmatic models of quantum multifractality: Power-law Random Banded Matrices (PRBM), the Ruijsenaars-Schneider ensembles (RS), and the three-dimensional kicked-rotor (3DKR). In the strong multifractal regime, we show analytically that these universal predictions exactly coincide with results from standard perturbation theory applied to the PRBM and RS models.
