二维调制规范理论中的任意子凝聚网络与多体纠缠
Anyon condensation web and multipartite entanglement in 2D modulated gauge theories
AI总结：
本研究构建二维调制规范理论的任意子凝聚网络，揭示其引发的空间调制对称涌现效应，拓展含晶格缺陷的凝聚方案，并提出多体纠缠互信息测度区分多极守恒相，发现其紫外敏感与长程振荡特性。
摘要：
在本研究中，我们提出了一种任意子凝聚网络，该网络在微观层面将一大类具有多极守恒律的二维分形子规范理论相互关联。我们发现，任意子的凝聚会引发额外的空间调制对称性涌现，其普遍效应是增加超选择任意子扇区的数量，同时提升具有周期性边界条件的系统的基态简并度。作为明确示例，我们从秩-2环面编码模型出发，实施多种任意子凝聚方案，得到一系列二维类分形子理论，每一种都具有独特的规范结构。我们还通过向空间调制规范理论中引入晶格缺陷拓展了任意子凝聚的研究范围，并证明这些几何缺陷可被视为沿分支切割的有效任意子凝聚。此外，我们引入多体纠缠互信息测度作为诊断工具，用于区分不同的多极守恒相。一个引人关注的观测结果是，这类空间调制规范理论中由多体纠缠产生的互信息具有紫外敏感性，它依赖于几何切割方式和系统尺寸，且在长距离下呈现周期性振荡。
英文摘要：
In this work, we introduce an anyon condensation web that interconnects a broad class of 2D fracton gauge theories with multipolar conservation laws at a microscopic level. We find that condensation of anyons triggers the emergence of additional spatially modulated symmetries, which has the general effect of increasing the number of super-selection anyon sectors, as well as the ground state degeneracy for systems with periodic boundary conditions. As explicit examples, we start with the rank-2 toric code model and implement various anyon condensation protocols, resulting in a range of 2D fracton-like theories, each with a distinct gauge structure. We also expand the scope of anyon condensation by introducing lattice defects into spatially modulated gauge theories and demonstrate that these geometric defects can be viewed as effective anyon condensations along the branch cut. Furthermore, we introduce the Multipartite Entanglement Mutual Information measure as a diagnostic tool to differentiate among various distinct multipole conserving phases. A captivating observation is the UV sensitivity of the mutual information sourced from multipartite entanglement in such spatially modulated gauge theories, which depends on the geometric cut and the system size, and exhibits periodic oscillations at large distances.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
