论文标题
在离域无序系统中密度波不平衡的记忆效应
Memory effects in the density-wave imbalance in delocalized disordered systems
论文作者
论文摘要
在晶格的均匀和奇数位点，职业失衡的动力学是识别多体定位过渡的关键特征之一。在这项工作中，我们研究了在扩散或延伸运输方面，在无序的一维多体系统中失衡的长期行为。我们表明，记忆效应源自慢速和快速模式之间的耦合，导致了不平衡的幂律衰减，指数由扩散（或二次扩张）传输定律和空间维度确定。分析结果由在弱定位方面对二维系统进行的数值模拟支持。
Dynamics of the imbalance in occupations on even and odd sites of a lattice serves as one of the key characteristics for identification of the many-body localization transition. In this work, we investigate the long-time behaviour of the imbalance in disordered one- and two-dimensional many-body systems in the regime of diffusive or subdiffusive transport. We show that memory effects originating from a coupling between slow and fast modes lead to a power-law decay of the imbalance, with the exponent determined by the diffusive (or subdiffusive) transport law and the spatial dimensionality. Analytical results are supported by numerical simulations performed on a two-dimensional system in the regime of weak localization.
