临界自旋链张量网络中的稳定激发与全息输运
Stable excitations and holographic transportation in tensor networks of critical spin chains
AI总结：
本文研究 AdS/CFT 的 MERA 量子模拟模型，证明 hologrons 动力学不稳定，并利用边界 CFT 局域初级算符构造稳定吸引型体激发，同时发现可实验观测的全息输运边界激发。
摘要：
AdS/CFT 对偶猜想反德西特（AdS）时空内的量子引力理论与边界上的共形场论（CFT）之间存在一种对偶关系。该对应一个引人入胜的方面在于，它提供了一条通过桌面实验探索量子引力的途径。最近，有人提出了一种可利用当代量子模拟器实现的 AdS/CFT 多尺度纠缠重整化拟设（MERA）模型 [R. Sahay、M. D. Lukin 和 J. Cotler，arXiv:2401.13595 (2024)]。特别地，研究发现了表现出由 AdS 引力给出的吸引相互作用的局域体激发（称为“hologrons”）。然而，关于这些已识别 hologrons 稳定性的根本问题仍未解决。在此，我们研究这一问题，并发现 hologrons 在动力学演化过程中并不稳定。在寻找具有吸引相互作用的稳定体激发时，我们发现它们可以由边界 CFT 中的局域初级算符构造。此外，我们还识别出一类边界激发，它们表现出“全息输运”的奇特行为，这种行为可以在实验所实现的边界系统上被直接观测到。
英文摘要：
The AdS/CFT correspondence conjectures a duality between quantum gravity theories in anti-de Sitter (AdS) spacetime and conformal field theories (CFTs) on the boundary. One intriguing aspect of this correspondence is that it offers a pathway to explore quantum gravity through tabletop experiments. Recently, a multi-scale entanglement renormalization ansatz (MERA) model of AdS/CFT that can be implemented using contemporary quantum simulators has been proposed [R. Sahay, M. D. Lukin, and J. Cotler, arXiv:2401.13595 (2024)]. Particularly, local bulk excitations (entitled "hologrons") manifesting attractive interactions given by AdS gravity were found. However, the fundamental question concerning the stability of these identified hologrons is still left open. Here, we address this question and find that hologrons are unstable during dynamic evolution. In searching for stable bulk excitations with attractive interactions, we find they can be constructed by the local primary operators in the boundary CFT. Furthermore, we identify a class of boundary excitations that exhibit the bizarre behavior of "holographic transportation", which can be directly observed on the boundary system implemented in experiments.
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