论文标题
混乱多体系统的中谱特征状态的纠缠：与随机合奏偏离的原因
Entanglement of midspectrum eigenstates of chaotic many-body systems: Reasons for deviation from random ensembles
论文作者
论文摘要
远离光谱边缘的局部多体相互作用系统的本征态被认为是千古的，接近随机状态。这与纠缠的本征态热假说和体积范围缩放是一致的。我们指出，在中谱特征状态中，有系统地偏离完全随机性，并专注于纠缠熵偏离随机状态预测的偏离。我们表明，由于空间相关性和频谱边缘特征状态的正交性，它的出发是（部分），这会施加在中谱特征状态。
Eigenstates of local many-body interacting systems that are far from spectral edges are thought to be ergodic and close to being random states. This is consistent with the eigenstate thermalization hypothesis and volume-law scaling of entanglement. We point out that systematic departures from complete randomness are generically present in mid-spectrum eigenstates, and focus on the departure of the entanglement entropy from the random-state prediction. We show that the departure is (partly) due to spatial correlations and due to orthogonality to the eigenstates at the spectral edge, which imposes structure on the mid-spectrum eigenstates.
