论文标题
片段化引起的定位和边界电荷在二及以上的尺寸
Fragmentation-induced localization and boundary charges in dimensions two and above
论文作者
论文摘要
我们研究了具有对称相关跳的更高维模型，该模型概括了在偶极持续动力学背景下引入的一维模型。我们严格地证明，每当局部配置空间采用其最小的非平凡价值时，这些模型在任何维度上都会显示出由于破碎而表现出局部行为。对于同一类模型，我们构建了保守数量的层次结构，这些级别是幂律，这些幂律位于系统边界，并增加了功率。将它们与Mazur的界限结合在一起，我们证明边界相关性是无限长的，即使散装不是本地化的。我们使用我们的结果来构建量子哈密顿量，这些量子在两个和更高维度中表现出强零模式的类似物。
We study higher dimensional models with symmetric correlated hoppings, which generalize a one-dimensional model introduced in the context of dipole-conserving dynamics. We prove rigorously that whenever the local configuration space takes its smallest non-trivial value, these models exhibit localized behavior due to fragmentation, in any dimension. For the same class of models, we then construct a hierarchy of conserved quantities that are power-law localized at the boundary of the system with increasing powers. Combining these with Mazur's bound, we prove that boundary correlations are infinitely long lived, even when the bulk is not localized. We use our results to construct quantum Hamiltonians that exhibit the analogues of strong zero modes in two and higher dimensions.
