Delocalized glassy dynamics and many-body localization
Delocalized glassy dynamics and many-body localization
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DOI：
10.1103/physrevb.96.201114
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发表时间：
2017-11-27
影响因子：
3.7
通讯作者：
Tarzia, M.
中科院分区：
文献类型：
--
作者：
Biroli, G.;Tarzia, M.
我们分析了不寻常的慢动力学出现在坏金属离域阶段之前的多体局域化过渡使用单粒子安德森本地化的Bethe晶格作为玩具模型的多体动力学在Fock空间。我们通过测量诸如不平衡和平衡相关函数等可观测量来探测动力学演化，这些可观测量显示出与最近的模拟和实验中观察到的惊人相似的缓慢动力学和幂律。我们将这种不寻常的行为的非遍历谱统计发现贝特格。我们讨论了不同的情况下，如一个真正的中间阶段，坚持在热力学极限与玻璃制度建立有限的，但非常大的时间和长度尺度上，以及它们对真实空间动力学性质的影响。在后者中，慢动力学和幂律在一个非常大的时间窗口上延伸，但最终在多体局部化过渡处发散的时间尺度上被切断。
We analyze the unusual slow dynamics that emerges in the bad metal delocalized phase preceding the manybody localization transition by using single-particle Anderson localization on the Bethe lattice as a toy model of many-body dynamics in Fock space. We probe the dynamical evolution by measuring observables such as the imbalance and equilibrium correlation functions, which display slow dynamics and power laws strikingly similar to those observed in recent simulations and experiments. We relate this unusual behavior to the nonergodic spectral statistics found on Bethe lattices. We discuss different scenarios, such as a true intermediate phase which persists in the thermodynamic limit versus a glassy regime established on finite but very large time and length scales only, and their implications for real-space dynamical properties. In the latter, slow dynamics and power laws extend on a very large time window but are eventually cut off on a time scale that diverges at the many-body localization transition.