离散全息与态密度在从双曲到欧几里得晶格过渡中的研究
Discrete holography and density of states in the crossover from hyperbolic to Euclidean lattices
AI总结：
研究通过引入欧几里得缺陷探讨双曲到欧几里得晶格过渡中的全息效应与态密度变化，发现边界物理特征在高缺陷下仍稳健，可减少系统规模需求。
摘要：
我们研究了从双曲到欧几里得晶格过渡中的紧束缚模型，通过连续插入欧几里得缺陷到双曲晶格中来实现。我们分析了当缺陷逐渐引入时，全息两点边界相关函数和体积态密度如何演变。我们发现体积性质受到欧几里得缺陷存在的影响很大，而边界观测值即使在高缺陷分数下仍保持显著稳健。这种稳健性表明，双曲晶格上边界物理的本质特征，这些特征捕捉了离散系统中类似AdS/CFT的对偶性方面，可以在实验和数值上重现，而无需要求完美双曲晶格，从而减少实现所需的系统尺寸。
英文摘要：
We study tight-binding models in the crossover from hyperbolic to Euclidean lattices, realized through the successive insertion of Euclidean defects into hyperbolic lattices. We analyze how the holographic two-point boundary correlation function and bulk density of states evolve as defects are gradually introduced. We find that bulk properties are strongly affected by the presence of Euclidean defects, whereas boundary observables remain remarkably robust even at high defect fractions. This robustness indicates that essential features of boundary physics on hyperbolic lattices, which capture aspects of anti de-Sitter/conformal field theory (AdS/CFT)-like dualities in discrete systems, can be reproduced both experimentally and numerically without requiring perfectly hyperbolic lattices, thereby reducing the system size needed for implementation.
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