Entanglement entropy from a holographic viewpoint

By T. Takayanagi. 2012

286 citations recorded by the source corpus.

The entanglement entropy has been historically studied by many authors in order to obtain quantum mechanical interpretations of the gravitational entropy. The discovery of anti-de Sitter/conformal field theory correspondence has led to the idea of holographic entanglement entropy, which is a clear solution to this important problem in gravity. In this review, we would like to give a quick survey of recent progresses in the holographic entanglement entropy. We focus on its gravitational aspects, so that it is comprehensible to those who are familiar with general relativity and basics of quantum field theory.

Subfields: Applied Mathematics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9f9f62237ab8e5fc20c2b4c89eb619f94da65662

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In Applied Mathematics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Entanglement entropy: Holography and renormalization group (2018, methodology): “The developments of the holographic method in the early days are summarized in (Nishioka et al., 2009) and more recent ones in (Takayanagi, 2012).”
Holographic local quenches and entanglement density (2013, background): “The holographic entanglement entropy (HEE) [16, 17, 5] has been calculated for various quantum quenches [13, 18, 19].”
Central charges for BCFTs and holography (2012, methodology): “25) agrees with another calculation of Sbdy using the holographic entanglement entropy [18, 12].”
Universality of Gravity from Entanglement (2014, background): “4 In [13, 14], this relation was considered in the context of holographic conformal field theories, for which δSB and δEB may be translated via the holographic dictionary [6–8] to geometrical observables in the dual gravity theory.”
Gravitation from entanglement in holographic CFTs (2013, methodology): “For the case of Einstein gravity, where entanglement entropy is calculated by the Ryu-Takayanagi proposal [1, 2], the equivalence of δS B and δE grav B was confirmed in [8], and by a different method in [7].”
Entanglement Entropy at Large Central Charge (2013, background): “In higher dimensions or with multiple intervals, the simple formula is a surprise, but it has passed a number of nontrivial tests [7].”
Holographic dark energy (2016, methodology): “For examples, in the field of nuclear physics, the AdS/QCD correspondence has been proposed to study the problems of quark-gluon plasma [6]; in the field of condensed matter physics, the AdS/CMT correspondence has been proposed to explore the problems of superconductivity and superfluid [7]; in the ”
Surface/State Correspondence as a Generalized Holography (2015, background): “10) is reduced to the holographic entanglement entropy formula [25].”
Quantum entanglement of localized excited states at finite temperature (2014, unknown): “The analysis of entanglement entropy in CFTs [2, 3] and the holographic calculation of entanglement entropy [4] have shown that it is a useful quantity for connecting a spacetime geometry to its dual CFT data.”
Entanglement of local operators in large-N conformal field theories (2014, unknown): “Indeed, the holographic entanglement entropy [4] offers another method to compute von-Neumann entanglement entropy without referring to the Renyi entropy.”