偶极和高阶矩守恒系统中的反常扩散
Anomalous Diffusion in Dipole- and Higher-Moment Conserving Systems
摘要：
在相互作用系统中，全局守恒量的存在通常会导致后期的扩散输运。在这里，我们表明，系统保存的偶极矩相关的全球电荷，甚至更高的时刻概括，逃避这种情况下，显示subdiffusivedecay代替。模拟的时间演化为元胞自动机的偶极和四极守恒的特定情况下，我们在数值上发现不同的异常指数的后期时间松弛。我们解释这些发现，通过分析构建一个通用的流体动力学模型，结果在一系列的指数取决于守恒矩的数量，产生一个准确的描述的缩放形式的电荷关联函数。我们分析了空间分布的相关性，并讨论了潜在的实验相关的签名更高的矩守恒。
英文摘要：
The presence of global conserved quantities in interacting systems generically leads to diffusive transport at late times. Here, we show that systems conserving the dipole moment of an associated global charge, or even higher moment generalizations thereof, escape this scenario, displaying subdiffusive decay instead. Modelling the time evolution as cellular automata for specific cases of dipole- and quadrupole-conservation, we numerically find distinct anomalous exponents of the late time relaxation. We explain these findings by analytically constructing a general hydrodynamic model that results in a series of exponents depending on the number of conserved moments, yielding an accurate description of the scaling form of charge correlation functions. We analyze the spatial profile of the correlations and discuss potential experimentally relevant signatures of higher moment conservation.
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