标题： 临界自旋模型的全息无序研究 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，通常由双曲镶嵌上的张量网络建模，生成了在连续全息中不存在的具有特征拟周期无序的量子态。 在这项工作中，我们研究了具有此类对称性的XXZ自旋链的行为，表明从前非相互作用（匹配门）张量网络中学到的经验可以推广到全息无序下的更通用哈密顿量：虽然无序破坏了平移对称性，但无无序临界相的平均关联和纠缠在非零无序强度下即使在大系统尺寸时也保持在一个平台状态。 特别是，我们数值证明了这种无序相中的纠缠熵曲线遵循连续极限下共形场论（CFT）的预期标度行为。 我们证明了这种性质对于其他类型的拟周期无序是非普遍存在的，只有当我们的边界无序假设由“对偶”体积极限的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.