论文标题
量子自旋链中的紧急纠缠结构和自相似性
Emergent entanglement structures and self-similarity in quantum spin chains
论文作者
论文摘要
我们基于其所有成分对之间的纠缠，为多体量子状态引入了一个实验可访问的网络表示。我们通过将其应用于范式旋转链模型，XX模型来说明该表示的功能，并表明它带来了新现象。对这些纠缠网络的分析表明，准长范围顺序的逐渐建立伴随着有关单旋转并发分布以及网络拓扑中不稳定性的对称性。此外，我们确定了紧急纠缠结构的存在，即由模型 - 静心社区检测算法揭示的全球对称性实施的空间本地化社区。网络表示进一步揭示了该州的结构类别的存在和循环自相似性，我们认为这与社区结构密切相关。我们的结果表明，复杂网络理论中的工具和概念的使用可以使人们对新物理现象的发现，理解和描述，即使在数十年来研究的模型中。
We introduce an experimentally accessible network representation for many-body quantum states based on entanglement between all pairs of its constituents. We illustrate the power of this representation by applying it to a paradigmatic spin chain model, the XX model, and showing that it brings to light new phenomena. The analysis of these entanglement networks reveals that the gradual establishment of quasi-long range order is accompanied by a symmetry regarding single-spin concurrence distributions, as well as by instabilities in the network topology. Moreover, we identify the existence of emergent entanglement structures, spatially localised communities enforced by the global symmetry of the system that can be revealed by model-agnostic community detection algorithms. The network representation further unveils the existence of structural classes and a cyclic self-similarity in the state, which we conjecture to be intimately linked to the community structure. Our results demonstrate that the use of tools and concepts from complex network theory enables the discovery, understanding, and description of new physical phenomena even in models studied for decades.
