Holographic Evolution of Entanglement Entropy

Abajo-Arrastia, Javier; Aparicio, Joao; Lopez, Esperanza

doi:10.48550/arxiv.1006.4090

Cited by 112 publications

(246 citation statements)

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“…Finally, let us compare our results for two-point functions of a massless scalar field with light-like separation to previous discussions of space-like separation, for instance those of [36,37,21]. There it was pointed out that for large masses, or alternatively for large conformal dimension, the correlator is dominated by the contribution of the space-like geodesic joining the two points.…”

Section: Discussionsupporting

confidence: 58%

“…At a late stage, the numerical results match with the analytical solutions based on an asymptotic expansion [19,20]. An interesting link between the thin shell and perturbative approaches described above has recently been established in [21,22,23]. The evolutions of entanglement entropy in d = 2 and d = 3 have been studied in a Vaidya metric describing a collapsing shell in the formation of a black hole.…”

Section: Introductionsupporting

confidence: 55%

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A moving mirror in AdS space as a toy model for holographic thermalization

Erdmenger

Lin

Ngo

2011

J. High Energ. Phys.

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It is expected that thermalization may be described within gauge/gravity duality by considering time-dependent configurations on the gravity side of the correspondence, for instance a gravitational collapse of a matter configuration in Anti-de Sitter space. As a step towards the ambitious goal of describing such a configuration, we investigate a simple time-dependent toy model in which a mirror moves in the radial direction of Anti-de Sitter space. For this configuration, we establish a procedure for calculating two-point functions of scalar fluctuations, based on a WKB approximation. We test our method on two sample trajectories for the mirror, and find that the singularity structure of the two-point functions is in agreement with geometric optics.

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Section: Discussionsupporting

confidence: 58%

Section: Introductionsupporting

confidence: 55%

A moving mirror in AdS space as a toy model for holographic thermalization

Erdmenger

Lin

Ngo

2011

J. High Energ. Phys.

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“…We would also like to mention that quite recently, remarkable numerical calculations of time evolutions of entanglement entropy have been done holographically in [23,24]. When we essentially finished calculations for this paper, we found the paper [23], which has a partial but important overlap with ours about the argument which shows unitary evolutions of CFTs dual to the black hole formations by using the holographic entanglement entropy. A similar issue has also been discussed independently in the appendix of the paper [24].…”

Section: Introductionmentioning

confidence: 82%

Measuring black hole formations by entanglement entropy via coarse-graining

Takayanagi¹,

Ugajin²

2010

J. High Energ. Phys.

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We argue that the entanglement entropy offers us a useful coarse-grained entropy in time-dependent AdS/CFT. We show that the total von-Neumann entropy remains vanishing even when a black hole is created in a gravity dual, being consistent with the fact that its corresponding CFT is described by a time-dependent pure state. We analytically calculate the time evolution of entanglement entropy for a free Dirac fermion on a circle following a quantum quench. This is interpreted as a toy holographic dual of black hole creations and annihilations. It is manifestly free from the black hole information problem.

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“…1. This is realized in the charged time-dependent Vaidya black brane [32][33][34][35] with the solution…”

Section: Holographic Modelmentioning

confidence: 99%

“…The model is based on a time-dependent charged black brane spacetime in Einstein-Maxwell theory coupled to time-dependent external sources illustrated in Fig. 1 [32][33][34][35]. The infall of matter causes the mass of the black brane to increase rapidly, corresponding to a change of the temperature and the entropy density in the dual field theory.…”

Section: Introductionmentioning

confidence: 99%

Shear transport far from equilibrium via holography

Wondrak,

Kaminski,

Bleicher

2020

Preprint

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In heavy-ion collisions, the quark-gluon plasma is produced far from equilibrium. This regime is currently inaccessible by quantum chromodynamics (QCD) computations. We calculate shear transport and entropy far from equilibrium in a holographic model, defining a time-dependent ratio of shear viscosity to entropy density, η/s. Large deviations of up to 60% from its near-equilibrium value, 1/4π, are found for realistic situations at the Large Hadron Collider. We predict the far-from-equilibrium timedependence of η/s to substantially affect the evolution of the QCD plasma and to impact the extraction of QCD properties from flow coefficients in heavy-ion collision data.

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Holographic Evolution of Entanglement Entropy

Cited by 112 publications

References 0 publications

A moving mirror in AdS space as a toy model for holographic thermalization

A moving mirror in AdS space as a toy model for holographic thermalization

Measuring black hole formations by entanglement entropy via coarse-graining

Shear transport far from equilibrium via holography

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