全息节线半金属中表征拓扑相变的多体纠缠
Multipartite entanglement characterizing topological phase transitions in holographic nodal line semimetals
AI总结：
研究强耦合全息节线半金属的多体纠缠结构，基于纠缠熵和全息c函数研究，包括条件互信息等多体纠缠量度，结果表明其虽长程极限下多体度量消失，但大l标度行为对拓扑敏感，可探测拓扑相变。
摘要：
物质的拓扑态由多体波函数量子纠缠中自然编码的非局域结构表征。拓扑半金属在弱耦合下是短程纠缠态，强耦合下的纠缠结构 largely unexplored。本文研究强耦合全息节线半金属的多体纠缠结构。基于先前对纠缠熵和全息c函数的研究，关注多体纠缠量度，包括条件互信息、多熵和基于纠缠楔截面的马尔可夫间隙。我们的结果表明，虽然这些多体量度在长距离极限$l \to \infty$时消失，这证实了全息节线半金属仍然是短程纠缠态，但其大l标度行为对基础拓扑仍然高度敏感。大l幂律衰减和标度指数作为稳健的非局部序参量，在量子临界点表现出急剧变化。这项工作将多体纠缠确立为强耦合拓扑系统中量子拓扑相变的有力探针。
英文摘要：
Topological states of matter are characterized by nonlocal structures that are naturally encoded in the quantum entanglement of many-body wavefunctions. Topological semimetals are short-range entangled states at weak coupling and their entanglement structure at strong coupling remains largely unexplored. In this work, we investigate the multipartite entanglement structure of strongly coupled holographic nodal line semimetals. Building on previous studies of entanglement entropy and the holographic c-function, we focus on multipartite entanglement measures, including the conditional mutual information, multi-entropy, and the Markov gap which is based on the entanglement wedge cross section. Our results demonstrate that while these multipartite measures vanish in the long-distance limit $l \to \infty$, which confirms that the holographic nodal line semimetal remains a short-range entangled state, their large $l$ scaling behavior remains highly sensitive to the underlying topology. The large $l$ power-law decay and scaling exponents serve as robust, non-local order parameters that exhibit sharp changes at the quantum critical point. This work establishes multi-partite entanglement as a powerful probe of quantum topological phase transitions in strongly coupled topological systems.
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