AdS/BCFT中的多体纠缠几何
Multipartite Entanglement Geometry in AdS/BCFT
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中文总结 AI 辅助
该研究探讨全息BCFT中世界末端膜对多体纠缠结构的重塑作用，揭示其在AdS₃/BCFT₂及热场双态中呈现的特征相层级与尺度依赖，拓展了多体纠缠的边界敏感性认知。
中文摘要 AI 辅助
多体纠缠度量可探测量子关联的组织方式，超出成对熵所能推断的范围。我们研究全息BCFT中的物理边界如何重塑这种结构：世界末端膜为多体纠缠开辟了新的相对同调通道，使体连通网络能在与普通Ryu–Takayanagi转变不重合的尺度上重组与因式分解。在静态AdS₃/BCFT₂中，这产生了多体相的特征层级，且真实多体熵对边界存在非平凡依赖；在热场双态中，真实连通网络可通过Einstein–Rosen桥支撑，其增长、重连与饱和尺度异于常规Hartman–Maldacena转变。这些结果表明，多体纠缠不仅对极值曲面面积敏感，还对体纠缠结构在边界存在时的连接、分裂与终止方式敏感。
英文摘要
Multipartite entanglement measures probe how quantum correlations are organized beyond what can be inferred from pairwise entropies. We study how this structure is reshaped by a physical boundary in a holographic BCFT. The end-of-the-world brane opens new relative-homology channels for multipartite entanglement, allowing connected bulk webs to reorganize and factorize at scales that need not coincide with any ordinary Ryu--Takayanagi transition. In static AdS$_3$/BCFT$_2$, this produces a characteristic hierarchy of multipartite phases and a nontrivial dependence of genuine multi-entropy on the boundary. In the thermofield-double state, genuinely connected webs can instead be supported through the Einstein--Rosen bridge, leading to growth, reconnection and saturation scales distinct from the usual Hartman--Maldacena transitions. These results show that multipartite entanglement is sensitive not only to extremal-surface areas but also to how bulk entanglement structures are allowed to join, split and terminate in the presence of a boundary.
发表机构
- Shing-Tung Yau Center and School of Physics, Southeast University（施一公中心及东南大学物理学院）
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