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角纠缠标度与投影纠缠对态

Corner entanglement scaling with projected entangled pair states

Chloé Van Bastelaere, Rui-Zhen Huang, Laurens Vanderstraeten

arXiv 2609.20020首次发表:更新:

发表机构

Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles; International Solvay Institutes; Graduate School of China Academy of Engineering Physics(布鲁塞尔自由大学非线性现象与复杂系统中心; 国际索尔维研究所; 中国工程物理研究院研究生院)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文提出一种从投影纠缠对态直接提取二维量子临界点角纠缠熵的方法,验证了其随有效关联长度的标度行为,并与其他方法结果一致,展示了诊断强关联临界点的效率。

AI 中文摘要

纠缠标度为量子临界点处的普适性质提供了强有力的探针。在二维中,由角形二分产生的贡献表现出普适标度,该标度由底层共形场论决定。我们开发了一种方法,直接从热力学极限下的投影纠缠对态中提取这种角纠缠熵。当应用于量子临界点处的模型时,我们表明角贡献随有效关联长度标度,与有限纠缠标度假说一致。我们的角系数结果与其他方法一致,证明了我们的方法在诊断二维强关联量子临界点方面的效率。

英文摘要

Entanglement scaling provides a powerful probe of universal properties at quantum critical points. In two dimensions, contributions originating from a corner-shaped bipartition exhibit a universal scaling, which is determined by the underlying conformal field theory. We develop a method to extract this corner entanglement entropy from projected entangled pair states directly in the thermodynamic limit. When applied to models at a quantum critical point, we show that the corner contribution exhibits scaling with the effective correlation length, in agreement with the hypothesis of finite-entanglement scaling. Our results for the corner coefficients are consistent with other methods, demonstrating the efficiency of our method for diagnosing strongly-correlated quantum critical points in two dimensions.

论文原文

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