萨克德夫-叶-基塔耶夫模型特征状态的最大纠缠偏差

arXiv - MATH - Mathematical Physics Pub Date : 2024-09-11 DOI:arxiv-2409.07043

Yichen Huang, Yi Tan, Norman Y. Yao

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摘要

我们考虑了 Sachdev-Ye-Kiteav (SYK) 模型的中谱特征状态。我们证明，对于大小为系统大小一个恒定分数的子系统，其纠缠熵与最大熵的偏差至少为一个正常数。这一结果凸显了 SYK 模型中谱特征态的纠缠熵与随机态的纠缠熵之间的差异。

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Deviations from maximal entanglement for eigenstates of the Sachdev-Ye-Kitaev model

We consider mid-spectrum eigenstates of the Sachdev-Ye-Kiteav (SYK) model. We prove that for subsystems whose size is a constant fraction of the system size, the entanglement entropy deviates from the maximum entropy by at least a positive constant. This result highlights the difference between the entanglement entropy of mid-spectrum eigenstates of the SYK model and that of random states.

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arXiv - MATH - Mathematical Physics

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