折叠立方体上自由费米子纠缠标度中不存在对数增强
Absence of logarithmic enhancement in the entanglement scaling of free fermions on folded cubes
AI总结:
本研究推导了折叠立方体上自由费米子基态纠缠熵在大直径极限下的解析表达式,证明其严格遵循面积定律,并利用Terwilliger代数分解解释了对数增强缺失,同时探讨了纠缠哈密顿量与Heun算子的关联。
摘要:
本研究探讨了折叠立方体上自由费米子模型的基态纠缠熵的标度行为。在大直径极限下推导出解析表达式,揭示其严格遵循面积定律。基于Terwilliger代数和$\mathfrak{so}(3)_{-1}$将折叠立方体分解为链,解释了自由费米子预期出现的对数增强的缺失。此外,还研究了纠缠哈密顿量及其与Heun算子的关系。
英文摘要:
This study investigates the scaling behavior of the ground-state entanglement entropy in a model of free fermions on folded cubes. An analytical expression is derived in the large-diameter limit, revealing a strict adherence to the area law. The absence of the logarithmic enhancement expected for free fermions is explained using a decomposition of folded cubes in chains based on its Terwilliger algebra and $\mathfrak{so}(3)_{-1}$. The entanglement Hamiltonian and its relation to Heun operators are also investigated.
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。