We compute the time evolution of the mutual information in out of equilibrium quantum systems whose gravity duals are Vaidya spacetimes in three and four dimensions, which describe the formation of a black hole through the collapse of null dust. We find the holographic mutual information to be non monotonic in time and always monogamous in the ranges explored. We also find that there is a region in the configuration space where it vanishes at all times. We show that the null energy condition is a necessary condition for both the strong subadditivity of the holographic entanglement entropy and the monogamy of the holographic mutual information. © SISSA 2012.

Holographic evolution of the mutual information / Allais, A.; Tonni, E.. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2012:1(2012), pp. 1-29. [10.1007/JHEP01(2012)102]

Holographic evolution of the mutual information

Tonni, E.
2012

Abstract

We compute the time evolution of the mutual information in out of equilibrium quantum systems whose gravity duals are Vaidya spacetimes in three and four dimensions, which describe the formation of a black hole through the collapse of null dust. We find the holographic mutual information to be non monotonic in time and always monogamous in the ranges explored. We also find that there is a region in the configuration space where it vanishes at all times. We show that the null energy condition is a necessary condition for both the strong subadditivity of the holographic entanglement entropy and the monogamy of the holographic mutual information. © SISSA 2012.
2012
1
1
29
102
https://doi.org/10.1007/JHEP01(2012)102
Allais, A.; Tonni, E.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/32346
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