Many-body localized systems in which interactions and disorder come together defy the expectations of quantum statistical mechanics: In contrast to ergodic systems, they do not thermalize when undergoing nonequilibrium dynamics. What is less clear, however, is how topological features interplay with many-body localized phases as well as the nature of the transition between a topological and a trivial state within the latter. In this paper, we numerically address these questions using a combination of extensive tensor network calculations, specifically density matrix renormalization-group-X, as well as exact diagonalization, leading to a comprehensive characterization of Hamiltonian spectra and eigenstate entanglement properties.

中文翻译：

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拓扑多体局域相中的纠缠和谱

相互作用和无序在一起的多体局部系统无视量子统计力学的期望：与遍历系统相反，它们在经历非平衡动力学时不会热化。然而，还不清楚的是拓扑结构特征如何与多体本地化阶段相互作用，以及拓扑结构和琐碎状态之间的过渡状态。在本文中，我们使用广泛的张量网络计算，特别是密度矩阵重整化-X组，以及精确的对角化，在数值上解决了这些问题，从而对汉密尔顿光谱和本征态纠缠特性进行了全面表征。