Entanglement revivals as a probe of scrambling in finite quantum systems. (English) Zbl 1459.82074
Summary: 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.
MSC:
| 82B23 | Exactly solvable models; Bethe ansatz |
| 81P42 | Entanglement measures, concurrencies, separability criteria |
Keywords:
breaking integrability; entanglement in extended quantum systems; quantum quenches; generalized Gibbs ensembleSoftware:
ITensorReferences:
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