Anderson and many-body localization in the presence of spatially correlated classical noise
Anderson and many-body localization in the presence of spatially correlated classical noise
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DOI：
10.1103/physrevb.106.134211
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发表时间：
2022-05
影响因子：
3.7
通讯作者：
S. Marcantoni;F. Carollo;F. M. Gambetta;I. Lesanovsky;U. Schneider;J. P. Garrahan
中科院分区：
文献类型：
--
作者：
S. Marcantoni;F. Carollo;F. M. Gambetta;I. Lesanovsky;U. Schneider;J. P. Garrahan
研究了空间关联经典噪声对无序费米子链的安德森和多体定域的影响。通过分析粒子密度不平衡从初始电荷密度波状态淬火后的演变，我们发现在存在时间依赖性噪声的情况下也存在显著的局部化特征，即使系统最终弛豫到无限温度状态。特别地，对于足够强的静态无序，我们观察到亚稳态的开始，噪声的空间相关性越强，亚稳态就变得越突出。在这种状态下，我们发现不平衡以拉伸指数衰减-这是玻璃体系的行为特征。我们确定了一个简单的缩放行为的相关弛豫时间的静态无序和噪声相关长度。我们讨论了如何利用我们的结果来提取实验设置中的本地化长度。
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 the localization length in experimental setups.