标题： 从封闭到开放的一维安德森模型：输运与谱统计 显示英文标题

标题： From closed to open 1D Anderson model: Transport versus spectral statistics

摘要： 使用仅有一个参数$0 \leq \beta \leq \infty$的现象学表达式，涵盖量子系统中所有混沌和复杂性的范围，我们表明有限尺寸的一维安德森模型的输运性质可以以此参数来表示。 具体来说，我们证明了$\beta$与从强局域态到扩展态整个转变过程中的归一化局域长度之间存在严格的线性关系。 这一结果使得能够完全以参数$\beta$和与连续谱耦合的强度来描述开放系统的所有输运性质。 对于非完美耦合的情况，我们的数据表明由$\beta$定义的内部混沌程度与模型的开放程度之间存在相当不寻常的相互作用。 这些结果可以在具有体缺陷或表面缺陷的单模波导中进行实验测试。 显示英文摘要

摘要： Using the phenomenological expression for the level spacing distribution with only one parameter, $0 \leq \beta \leq \infty$, covering all regimes of chaos and complexity in a quantum system, we show that transport properties of the one-dimensional Anderson model of finite size can be expressed in terms of this parameter. Specifically, we demonstrate a strictly linear relation between $\beta$ and the normalized localization length for the whole transition from strongly localized to extended states. This result allows one to describe all transport properties in the open system entirely in terms of the parameter $\beta$ and strength of coupling to continuum. For non-perfect coupling, our data show a quite unusual interplay between the degree of internal chaos defined by $\beta$, and degree of openness of the model. The results can be experimentally tested in single-mode waveguides with either bulk or surface disorder.