The entanglement evolution after a quantum quench became one of the tools to distinguish integrable versus chaotic (non-integrable) quantum many-body dynamics. Following this line of thoughts, here we propose that the revivals in the entanglement entropy provide a finite-size diagnostic benchmark for the purpose. Indeed, integrable models display periodic revivals manifested in a dip in the block entanglement entropy in a finite system. On the other hand, in chaotic systems, initial correlations get dispersed in the global degrees of freedom (information scrambling) and such a dip is suppressed. We show that while for integrable systems the height of the dip of the entanglement of an interval of fixed length decays as a power law with the total system size, upon breaking integrability a much faster decay is observed, signalling strong scrambling. Our results are checked by exact numerical techniques in free-fermion and free-boson theories, and by time-dependent density matrix renormalisation group in interacting integrable and chaotic models.

中文翻译：

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纠缠复兴作为有限量子系统中加扰的一种探索

量子猝灭后的纠缠演化成为区分可积与混沌（不可积）量子多体动力学的工具之一。遵循这一思路，我们在这里提出纠缠熵的复兴为此目的提供了一个有限大小的诊断基准。事实上，可积模型显示了周期性的恢复，这表现为有限系统中块纠缠熵的下降。另一方面，在混沌系统中，初始相关性在全局自由度（信息加扰）中分散，并且这种下降被抑制。我们表明，虽然对于可积系统，固定长度区间的纠缠的倾角的高度随着系统总大小的幂律而衰减，但在破坏可积性时观察到更快的衰减，表明强烈的加扰。