标题： 从全息无序中得到的临界自旋模型 显示英文标题

标题： Critical spin models from holographic disorder

摘要： 离散的全息对偶模型，通常通过双曲镶嵌上的张量网络进行建模，会产生具有特征准周期性无序的量子态，这种无序在连续全息中并不存在。 在本工作中，我们研究具有此类对称性的XXZ自旋链的行为，表明从之前非相互作用（matchgate）张量网络中学到的经验可以推广到全息无序下的更一般的哈密顿量：尽管无序破坏了平移不变性，但在大系统尺寸下，无序自由临界相的平均位点相关性和纠缠在非零无序的平台期仍被保留。 特别是，我们通过数值证明，在这种无序相中，纠缠熵曲线遵循连续极限下共形场理论（CFT）的预期标度。 这一特性被证明对于其他类型的准周期性无序并非普遍现象，只有当我们的边界无序假设由“对偶”的体内双曲镶嵌描述时才会出现。 因此，我们的结果表明存在一类临界相，其对称性来源于离散全息模型。 显示英文摘要

摘要： Discrete models of holographic dualities, typically modeled by tensor networks on hyperbolic tilings, produce quantum states with a characteristic quasiperiodic disorder not present in continuum holography. In this work, we study the behavior of XXZ spin chains with such symmetries, showing that lessons learned from previous non-interacting (matchgate) tensor networks generalize to more generic Hamiltonians under holographic disorder: While the disorder breaks translation invariance, site-averaged correlations and entanglement of the disorder-free critical phase are preserved at a plateau of nonzero disorder even at large system sizes. In particular, we show numerically that the entanglement entropy curves in this disordered phase follow the expected scaling of a conformal field theory (CFT) in the continuum limit. This property is shown to be non-generic for other types of quasiperiodic disorder, only appearing when our boundary disorder ansatz is described by a "dual" bulk hyperbolic tiling. Our results therefore suggest the existence of a whole class of critical phases whose symmetries are derived from models of discrete holography.