论文标题
一致的正向散射峰和多折叠性
Coherent Forward Scattering Peak and Multifractality
论文作者
论文摘要
最近已经表明，无序系统中的干扰效应引起了两个非平凡的结构：相干的反向散射（CBS）峰，在存在无序的存在下众所周知的干扰效应的签名以及连贯的正向散射（CFS）峰，在此处研究Anderson在此处进行了cfs的效果。金属 - 绝缘体过渡。我们专注于Floquet系统，发现CFS峰形状及其峰高动力学通常由多型尺寸$ d_1 $和$ d_2 $以及频谱形式控制。我们使用1D Floquet系统检查结果，其状态具有由单个参数控制的多重型属性。我们的预测通过该模型上的数值模拟和分析扰动扩展得到了充分证实。我们认为我们认为是通用的结果，提供了一种原始的直接方法来检测和表征实验系统中的多纹理。
It has recently been shown that interference effects in disordered systems give rise to two non-trivial structures: the coherent backscattering (CBS) peak, a well-known signature of interference effects in the presence of disorder, and the coherent forward scattering (CFS) peak, which emerges when Anderson localization sets in. We study here the CFS effect in the presence of quantum multifractality, a fundamental property of several systems, such as the Anderson model at the metal-insulator transition. We focus on Floquet systems, and find that the CFS peak shape and its peak height dynamics are generically controlled by the multifractal dimensions $D_1$ and $D_2$, and by the spectral form factor. We check our results using a 1D Floquet system whose states have multifractal properties controlled by a single parameter. Our predictions are fully confirmed by numerical simulations and analytic perturbation expansions on this model. Our results, which we believe to be generic, provide an original and direct way to detect and characterize multifractality in experimental systems.
