The mutual and tripartite information between pairs and triples of disjoint regions in a quantum field theory are sensitive probes of the spread of correlations in an equilibrating system. We compute these quantities in strongly coupled 2d CFTs with a gravity dual following the homogenous deposition of energy. The injected energy is modeled in AdS space as an infalling shell, and the information shared by disjoint intervals is computed in terms of geodesic lengths in this background. For given widths and separation of the intervals, the mutual information typically starts at its vacuum value, then increases in time to reach a maximum, and then declines to the value at thermal equilibrium. A simple causality argument qualitatively explains this behavior. The tripartite information is generically non-zero and time-dependent throughout the process. This contrasts with (but does not contradict) the time-independent tripartite information one finds after a 2d quantum quench in the limit of large time and distance scales compared to the initial inverse mass gap.
Original languageEnglish
Article number105017
Number of pages7
JournalPhysical Review D. Particles, Fields, Gravitation, and Cosmology
Volume84
Issue number10
Publication statusPublished - 2011

    Research areas

  • field theory : conformal, space : anti-de sitter, gravitation : duality, mass : gap, dimensions : 2, strong coupling, correlation

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