Causality & holographic entanglement entropy
@article{Headrick2014CausalityH, title={Causality \& holographic entanglement entropy}, author={Matthew Headrick and Veronika E. Hubeny and Albion Lawrence and Mukund Rangamani}, journal={Journal of High Energy Physics}, year={2014}, volume={2014}, pages={1-36} }
A bstractWe identify conditions for the entanglement entropy as a function of spatial region to be compatible with causality in an arbitrary relativistic quantum field theory. We then prove that the covariant holographic entanglement entropy prescription (which relates entanglement entropy of a given spatial region on the boundary to the area of a certain extremal surface in the bulk) obeys these conditions, as long as the bulk obeys the null energy condition. While necessary for the validity…
299 Citations
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References
SHOWING 1-10 OF 60 REFERENCES
Quantum extremal surfaces: holographic entanglement entropy beyond the classical regime
- Physics
- 2014
A bstractWe propose that holographic entanglement entropy can be calculated at arbitrary orders in the bulk Planck constant using the concept of a “quantum extremal surface”: a surface which…
A covariant holographic entanglement entropy proposal
- Physics
- 2007
With an aim towards understanding the time-dependence of entanglement entropy in generic quantum field theories, we propose a covariant generalization of the holographic entanglement entropy proposal…
Holographic entanglement plateaux
- Physics
- 2013
A bstractWe consider the entanglement entropy for holographic field theories in finite volume. We show that the Araki-Lieb inequality is saturated for large enough subregions, implying that the…
Causal holographic information
- Physics
- 2012
A bstractWe propose a measure of holographic information based on a causal wedge construction. The motivation behind this comes from an attempt to understand how boundary field theories can…
Thermalization of causal holographic information
- Physics
- 2013
A bstractWe study causal wedges associated with a given sub-region in the boundary of asymptotically AdS spacetimes. Part of our motivation is to better understand the recently proposed holographic…
Aspects of Holographic Entanglement Entropy
- Physics
- 2006
This is an extended version of our short report [1], where a holographic interpretation of entanglement entropy in conformal field theories is proposed from AdS/CFT correspondence. In addition to a…
Entanglement tsunami: universal scaling in holographic thermalization.
- PhysicsPhysical review letters
- 2014
We consider the time evolution of entanglement entropy after a global quench in a strongly coupled holographic system, whose subsequent equilibration is described in the gravity dual by the…
Multiboundary Wormholes and Holographic Entanglement
- Physics
- 2014
The AdS/CFT correspondence relates quantum entanglement between boundary Conformal Field Theories and geometric connections in the dual asymptotically Anti-de Sitter space-time. We consider entangled…
Entanglement entropy and nonabelian gauge symmetry
- Physics
- 2014
Entanglement entropy has proven to be an extremely useful concept in quantum field theory. Gauge theories are of particular interest, but for these systems the entanglement entropy is not clearly…
Holographic evolution of entanglement entropy
- Physics
- 2010
We study the evolution of entanglement entropy in a 2-dimensional equilibration process that has a holographic description in terms of a Vaidya geometry. It models a unitary evolution in which the…