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Holographic evolution of the mutual information
, 2011
"... 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 m ..."
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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.
Time Evolution of Entanglement Entropy from Black Hole Interiors,” JHEP 1305, 014 (2013) [arXiv:1303.1080 [hepth]]. Similar considerations can be found in
 in Holographic Thermalization,” Phys. Rev. Lett. 112, 011601 (2014) [arXiv:1305.7244
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Quantum Quench in the Transverse Field Ising chain II: Stationary State Properties, in preparation
"... Abstract. We consider the time evolution of order parameter correlation functions after a sudden quantum quench of the magnetic field in the transverse field Ising chain. Using two novel methods based on determinants and form factor sums respectively, we derive analytic expressions for the asymptoti ..."
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Abstract. We consider the time evolution of order parameter correlation functions after a sudden quantum quench of the magnetic field in the transverse field Ising chain. Using two novel methods based on determinants and form factor sums respectively, we derive analytic expressions for the asymptotic behaviour of one and two point correlators. We discuss quenches within the ordered and disordered phases as well as quenches between the phases and to the quantum critical point. We give detailed account of both methods. ar X iv
Entanglement and outofequilibrium dynamics in holographic models of de Sitter QFTs
 JHEP 1407, 021 (2014) [arXiv:1311.5519 [hepth
"... Abstract: In this paper we study various aspects of entanglement entropy in stronglycoupled de Sitter quantum field theories in various dimensions. We focus on gravity solutions that are dual to field theories in a fixed de Sitter background, both in equilibrium and outofequilibrium configuratio ..."
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Abstract: In this paper we study various aspects of entanglement entropy in stronglycoupled de Sitter quantum field theories in various dimensions. We focus on gravity solutions that are dual to field theories in a fixed de Sitter background, both in equilibrium and outofequilibrium configurations. The latter corresponds to the Vaidya generalization of the AdS black hole solutions with hyperbolic topology. We compute analytically the entanglement entropy of spherical regions and show that there is a transition when the sphere is as big as the horizon. We also explore thermalization in timedependent situations in which the system evolves from a nonequilibrium state to the BunchDavies state. We find that the saturation time is equal to the lightcrossing time of the sphere. This behavior is faster than random walk and suggests the existence of free lightlike degrees of freedom.a rX iv
Vacuum Instability in Electric Fields via AdS/CFT: EulerHeisenberg Lagrangian and
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Holographic thermalization of mutual and tripartite information in 2d CFTs,” arXiv:1212.0848 [hepth
"... We discuss the concepts of mutual and tripartite information by referring to simple intuitive examples, and describe their use as probes of thermalization in holographic models. We then review our computation of these quantities in a simple time dependent model, in which energy injection in a stron ..."
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We discuss the concepts of mutual and tripartite information by referring to simple intuitive examples, and describe their use as probes of thermalization in holographic models. We then review our computation of these quantities in a simple time dependent model, in which energy injection in a strongly coupled field theory is modeled by a shell of null dust falling into 3d antide Sitter space. We complete those results with a discussion of the possible equilibrium phases of the tripartite information. Proceedings of the Corfu Summer Institute 2012