体探测器（bulk detectors）的边界对偶
Boundary duals of bulk detectors
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- Perimeter Institute for Theoretical Physics
- University of Waterloo（滑铁卢大学）
- Institute for Quantum Computing, University of Waterloo（滑铁卢大学量子计算研究所）
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中文总结 AI 辅助
本文通过HKLL重构方案，将AdS中的体Unruh-DeWitt探测器映射为边界涂抹探测器，计算了纠缠采集量，并解决了微观因果性与边界探测器重叠之间的张力。
中文摘要 AI 辅助
反德西特空间中Unruh-DeWitt探测器的边界对偶是什么？我们认为这个问题自然由HKLL重构方案回答。体中的一个局域探测器可以与边界中的一个涂抹探测器（smeared detector）相关联，其中涂抹的选择取决于HKLL核的选择。我们使用这一形式体系来分析AdS$_3$的Poincaré片中体Unruh-DeWitt探测器与边界探测器或第二个体探测器配对时的纠缠采集。我们以标准方式计算采集量，即通过评估双探测器密度矩阵至耦合常数$\lambda$的二次阶。此外，我们解决了类空分离的体探测器之间的微观因果性与对偶HKLL探测器在边界理论中可能直接重叠这一事实之间的明显张力。
英文摘要
What is the boundary dual of an Unruh-DeWitt detector in anti-de Sitter space? We argue that this question is naturally answered by the HKLL reconstruction program. A local detector in the bulk can be associated with a smeared detector in the boundary, where the choice of smearing depends on the choice of HKLL kernel. We use this formalism to analyze entanglement harvesting in the Poincaré patch of AdS$_{3}$ for a bulk Unruh-DeWitt detector paired either with a boundary detector or with a second bulk detector. We compute the amount of harvesting in the standard way, namely by evaluating the two-detector density matrix to quadratic order in the coupling $λ$. Additionally, we address an apparent tension between microcausality for spacelike-separated bulk detectors and the fact that the dual HKLL detectors may directly overlap in the boundary theory.
