论文标题
在存在空间相关的经典噪声的情况下，安德森和多体定位
Anderson and many-body localization in the presence of spatially correlated classical noise
论文作者
论文摘要
我们研究了空间相关的经典噪声对无序的费米子链的安德森和多体定位的影响。通过分析从初始电荷密度波状态淬灭后粒子密度不平衡的演变，我们发现在存在时间依赖性噪声的情况下，即使系统最终放松到无限温度状态，也发现了定位的显着特征。特别是，对于足够强的静态障碍，我们观察到亚稳定性的发作，这变得更加突出，噪声的空间相关性越强。在这个制度中，我们发现不平衡的指数是一种伸展的指数 - 玻璃系统的行为特征。我们从静态障碍和噪声相关长度方面确定了相关放松时间的简单缩放行为。我们讨论如何利用我们的结果来提取有关实验设置中定位长度的信息。
We study the effect of spatially correlated classical noise on both Anderson and many-body localization of a disordered fermionic chain. By analyzing the evolution of the particle density imbalance following a quench from an initial charge density wave state, we find prominent signatures of localization also in the presence of the time-dependent noise, even though the system eventually relaxes to the infinite temperature state. In particular, for sufficiently strong static disorder we observe the onset of metastability, which becomes more prominent the stronger the spatial correlations of the noise. In this regime we find that the imbalance decays as a stretched-exponential - a behavior characteristic of glassy systems. We identify a simple scaling behavior of the relevant relaxation times in terms of the static disorder and of the noise correlation length. We discuss how our results could be exploited to extract information about the localization length in experimental setups.
