论文标题
多体波袋复杂散射的通用S-矩阵相关性：理论，模拟和实验
Universal S-matrix correlations for complex scattering of many-body wavepackets: theory, simulation and experiment
论文作者
论文摘要
我们介绍了一项深入研究，对非平稳多体散射框架所需的散射矩阵条目的通用相关性，其中传入状态是局部的波袋。与固定的情况相反，动力学观察物中混沌动力学的普遍特征的出现在不同能量下散射矩阵的通用相关性的出现表现出来。我们使用基于干扰路径的半经典理论，基于数值波函数的模拟和在随机矩阵集合上的数值平均值来计算这种相关性并与微波图中的实验测量进行比较，从而找到了极好的一致性。我们的计算表明，相关器的通用性在与电子量子光学元件相关的少数开放通道的极限中幸存下来，尽管其价格是按照处理大型融资效应的价格，需要计算大型的半经典图。
We present an in-depth study of the universal correlations of scattering-matrix entries required in the framework of non-stationary many-body scattering where the incoming states are localized wavepackets. Contrary to the stationary case the emergence of universal signatures of chaotic dynamics in dynamical observables manifests itself in the emergence of universal correlations of the scattering matrix at different energies. We use a semiclassical theory based on interfering paths, numerical wave function based simulations and numerical averaging over random-matrix ensembles to calculate such correlations and compare with experimental measurements in microwave graphs, finding excellent agreement. Our calculations show that the universality of the correlators survives the extreme limit of few open channels relevant for electron quantum optics, albeit at the price of dealing with large-cancellation effects requiring the computation of a large class of semiclassical diagrams.
