论文标题
准定晶格系统中的几何淬火
Geometric quenches in quasi-disordered lattice system
论文作者
论文摘要
尽管在文献中广泛使用了全局量子淬灭，以了解一维量子自旋链的定位 - 移位转变，但在此类过渡的背景下，几何淬灭的效果（对应于链条的几何形状的突然变化）的作用尚未得到充分理解。在这项工作中，我们研究了Aubry-Andre模型中几何淬灭的效果，该模型即使在一个维度上也支持本地化偏置转变。我们研究纠缠和时间占用的位置扩散的扩散，并找到许多有趣的特征，这些特征可用于表征定位 - 偏置转变。我们观察到，与在全球淬灭研究中发现的线性生长相反，几何淬灭会导致纠缠熵的幂律类型的生长。值得注意的是，我们还发现，与通常的体积定律相比，多体局部（MBL）阶段的饱和值遵守了区域定律，这在全球淬火的背景下是MBL阶段的签名特征。
While global quantum quench has been extensively used in the literature to understand the localization-delocalization transition for the one-dimensional quantum spin chain, the effect of geometric quench (which corresponds to a sudden change of the geometry of the chain) in the context of such transitions is yet to be well understood. In this work, we investigate the effect of geometric quench in the Aubry-Andre model, which supports localization-delocalization transition even in one dimension. We study the spreading of the entanglement and the site-occupation with time and find many interesting features that can be used to characterize localization-delocalization transition. We observe that geometric quench causes a power-law type growth of the entanglement entropy in the delocalized phase in contrast to the linear growth which is found in the global quench studies. Remarkably, we also find that the saturation values in the Many-body localized (MBL) phase obey Area law in contrast to the usual volume law which is a signature feature of the MBL phase in the context of global quench.
