论文标题
混乱的斑点
Speck of Chaos
论文作者
论文摘要
已经表明，尽管是局部，但应用于一维XXZ模型的单个位点的扰动足以将这种相互作用的可相互作用的可集成的自旋1/2系统带入混乱的状态。在这里，我们表明这不是该模型唯一的独特，而是横向场中的Ising模型和Spin-1 Lai-Sutherland链中的伊辛模型。系统越大，对于混乱开始，局部扰动的幅度就越小。我们专注于混乱的两个指标，相关孔，这是一个动力学工具，以及局部可观察物的外部元素的分布，该元素用于特征态热假说中。两种方法都避免了频谱的展开，即使特征值不被对称部门隔开，也可以检测到混乱。
It has been shown that, despite being local, a perturbation applied to a single site of the one-dimensional XXZ model is enough to bring this interacting integrable spin-1/2 system to the chaotic regime. Here, we show that this is not unique to this model, but happens also to the Ising model in a transverse field and to the spin-1 Lai-Sutherland chain. The larger the system is, the smaller the amplitude of the local perturbation for the onset of chaos. We focus on two indicators of chaos, the correlation hole, which is a dynamical tool, and the distribution of off-diagonal elements of local observables, which is used in the eigenstate thermalization hypothesis. Both methods avoid spectrum unfolding and can detect chaos even when the eigenvalues are not separated by symmetry sectors.
