Holographic evolution of the mutual information
167 citations recorded by the source corpus.
A bstractWe 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.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/1ed7c24fa3dd52e3482053e96a1a948a3ccce40c
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In Astronomy and Astrophysics
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Chaos in quantum channels (2015, background): “For holographic systems, this is known not to happen: after SFG saturates, it remains saturated [58, 59, 60, 32, 61].”
- Time evolution of entanglement entropy from black hole interiors (2013, background): “The behavior of the entanglement entropy under black hole formation was studied in numerous publications which found features which are the same as what we discuss here [2,4,5,6,7,8,13,14,15,16,17,18].”
- Black holes and the butterfly effect (2013, methodology): “Mutual information and entanglement entropy have been used to diagnose thermalization after a quantum quench, in both conventional [14, 15] and holographic setups [7, 16, 17, 18, 19, 20, 21, 22].”
- Averaged null energy condition from causality (2016, background): “It is also clear in general relativity; for example, both the second law and strong subadditivity of the holographic entanglement entropy require the NEC [7, 25, 26].”
- Quantum quenches in 1 + 1 dimensional conformal field theories (2016, background): “The goal of this review is to give a self-contained presentation of the imaginary time path integral approach to the quench dynamics of CFTs.”
- Maximin surfaces, and the strong subadditivity of the covariant holographic entanglement entropy (2012, background): “without using the NCC) This result is consistent with investigations of Strong Subadditivity in 2+1 dimensional AdS-Vaidya spacetimes [8, 10].”
- Strong subadditivity and the covariant holographic entanglement entropy formula (2012, background): “We would like to thank J. McGreevy and E. Tonni for useful conversations.”
- Entanglement entropy from a holographic viewpoint (2012, background): “The consistency with the strong subadditivity has been confirmed for various time-dependent examples in [124, 129].”