随机XXZ模型中的液滴局部化及其表现
Droplet localization in the random XXZ model and its manifestations
摘要：
我们研究了位于随机场自旋$\frac 1 2$ XXZ链的液滴扇区中的本征态的多体局域化性质。这些状态满足在\cite{EKS}中导出的基本单簇定位性质（SCLP）。这导致了许多后果，包括动态指数聚类，时间演化下的信息不扩散，以及零速度Lieb Robinson界限。由于SCLP只适用于液滴部门，我们的定义和证明不依赖于知识的光谱和动力学特性的模型以外的制度。相反，允许一个可能的流动性转变，我们适应的概念，限制哈密顿量的能量窗口，从单粒子设置到多体上下文。
英文摘要：
We examine many-body localization properties for the eigenstates that lie in the droplet sector of the random-field spin-$\frac 1 2$ XXZ chain. These states satisfy a basic single cluster localization property (SCLP), derived in \cite{EKS}. This leads to many consequences, including dynamical exponential clustering, non-spreading of information under the time evolution, and a zero velocity Lieb Robinson bound. Since SCLP is only applicable to the droplet sector, our definitions and proofs do not rely on knowledge of the spectral and dynamical characteristics of the model outside this regime. Rather, to allow for a possible mobility transition, we adapt the notion of restricting the Hamiltonian to an energy window from the single particle setting to the many body context.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
