In systems governed by chaotic local Hamiltonians, my previous work [7] conjectured the universality of the average entanglement entropy of all eigenstates by proposing an exact formula for its dependence on the subsystem size. In this note, I extend this result to the average entanglement entropy of a constant fraction of eigenstates in the middle of the energy spectrum. The generalized formula is supported by numerical simulations of various chaotic spin chains.

中文翻译：

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混沌局部哈密顿量的谱中本征态的普遍纠缠

在由混沌局部哈密顿量控制的系统中，我以前的工作[7]通过提出一个精确的公式来依赖所有子系统的子系统大小来推测所有本征态的平均纠缠熵的普遍性。在本说明中，我将此结果扩展到能量谱中部恒定比例的本征态的平均纠缠熵。各种混沌自旋链的数值模拟都支持该通用公式。