论文标题
移动杂质的缓慢动态与安德森绝缘子相互作用
Slow dynamics of a mobile impurity interacting with an Anderson insulator
论文作者
论文摘要
我们研究了一个浸入安德森局部颗粒浴中的单个移动杂质的动力学，并专注于相对强大的混乱和相互作用的制度。在该制度中，系统的动力学特别缓慢，暗示在短时间内发生多体定位。考虑到更长的时间尺度，我们表明后者是一种短暂的效果，最终，杂质在亚散发中扩散并诱导安德森绝缘子的逐渐离域化。该系统的现象学在考虑的慢速动力学方面包括杂质的均值增长，安德森绝缘子密度相关函数的幂律衰减以及系统中纠缠熵的幂律增长。当系统中的疾病被足够强的准周期潜力取代时，我们也观察到类似的缓慢动态状态。
We investigate dynamics of a single mobile impurity immersed in a bath of Anderson localized particles and focus on the regime of relatively strong disorder and interactions. In that regime, the dynamics of the system is particularly slow, suggesting, at short times, an occurrence of many-body localization. Considering longer time scales, we show that the latter is a transient effect and that, eventually, the impurity spreads sub-diffusively and induces a gradual delocalization of the Anderson insulator. The phenomenology of the system in the considered regime of slow dynamics includes a sub-diffusive growth of mean square displacement of the impurity, power-law decay of density correlation functions of the Anderson insulator and a power-law growth of entanglement entropy in the system. We observe a similar regime of slow dynamics also when the disorder in the system is replaced by a sufficiently strong quasi-periodic potential.
