Entanglement revivals as a probe of scrambling in finite quantum systems
- URL: http://arxiv.org/abs/2004.08706v2
- Date: Sat, 29 Aug 2020 10:44:49 GMT
- Title: Entanglement revivals as a probe of scrambling in finite quantum systems
- Authors: Ranjan Modak, Vincenzo Alba, Pasquale Calabrese
- Abstract summary: We show that 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.
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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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.
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