论文标题
随机XXZ量子自旋链中的定位
Localization in the random XXZ quantum spin chain
论文作者
论文摘要
我们研究海森贝格XXZ旋转的多体定位（MBL）特性-US \ frac12 $链在随机磁场中。我们证明该系统在参数空间的非平凡区域的光谱底部的任何给定能量间隔中都表现出定位。该区域包括弱相互作用和强大的混乱状态，与系统的大小无关，仅取决于能量间隔。我们的方法基于对本地化问题的重新重新制作，作为对随机多体XXZ Hamiltonian功能的准本地性的表达。这使我们能够将以前在单粒子本地化上下文中得出的定位的分数力矩方法扩展到多体设置。
We study the many-body localization (MBL) properties of the Heisenberg XXZ spin-$\frac12$ chain in a random magnetic field. We prove that the system exhibits localization in any given energy interval at the bottom of the spectrum in a nontrivial region of the parameter space. This region, which includes weak interaction and strong disorder regimes, is independent of the size of the system and depends only on the energy interval. Our approach is based on the reformulation of the localization problem as an expression of quasi-locality for functions of the random many-body XXZ Hamiltonian. This allows us to extend the fractional moment method for proving localization, previously derived in a single-particle localization context, to the many-body setting.
