Time Evolution of Entanglement Entropy from Black Hole Interiors

Hartman, Thomas; Maldacena, Juan

doi:10.48550/arxiv.1303.1080

Cited by 140 publications

(345 citation statements)

References 0 publications

Supporting

Mentioning

321

Contrasting

Order By: Relevance

“…[5,6]). For integrable one-dimensional models the entanglement does indeed spread ballistically [7][8][9], which is to be expected since such systems have ballistically propagating quasiparticles that can serve as carriers of the information. For various localized models, on the other hand, the entanglement has been shown to spread much more slowly, only logarithmically with time [8,[10][11][12][13][14][15][16].…”

mentioning

confidence: 93%

Ballistic Spreading of Entanglement in a Diffusive Nonintegrable System

2013

View full text Add to dashboard Cite

We study the time evolution of the entanglement entropy of a one-dimensional nonintegrable spin chain, starting from random nonentangled initial pure states. We use exact diagonalization of a nonintegrable quantum Ising chain with transverse and longitudinal fields to obtain the exact quantum dynamics. We show that the entanglement entropy increases linearly with time before finite-size saturation begins, demonstrating a ballistic spreading of the entanglement, while the energy transport in the same system is diffusive. Thus, we explicitly demonstrate that the spreading of entanglement is much faster than the energy diffusion in this nonintegrable system.

show abstract

mentioning

confidence: 93%

Ballistic Spreading of Entanglement in a Diffusive Nonintegrable System

2013

View full text Add to dashboard Cite

show abstract

“…In holographic theories, it has been shown that they can probe the interior of the black hole in the gravitational dual (e.g. [13,14,15,16,17,18,19,20,21,3]). In particular, they are expected to shed new light on the nature of spacetime singularities, although this may require going far beyond the leading strong coupling order.…”

Section: Introductionmentioning

confidence: 99%

Thermal correlation functions in CFT and factorization

Rodriguez-Gomez,

Russo

2021

Preprint

View full text Add to dashboard Cite

We study 2-point and 3-point functions in CFT at finite temperature for large dimension operators using holography. The 2-point function leads to a universal formula for the holographic free energy in d dimensions in terms of the c-anomaly coefficient. By including α corrections to the black brane background, one can reproduce the leading correction at strong coupling. In turn, 3-point functions have a very intricate structure, exhibiting a number of interesting properties. In simple cases, we find an analytic formula, which reduces to the expected expressions in different limits. When the dimensions satisfy ∆ i = ∆ j + ∆ k , the thermal 3-point function satisfies a factorization property. We argue that in d > 2 factorization is a reflection of the semiclassical regime.

show abstract

“…This problematic was undertaken since the beginning of AdS/CFT and, since then, many important advances have been achieved (see e.g. [10,11,12,13,14,15,16,17,18,9,19,20,21]).…”

Section: Introductionmentioning

confidence: 99%

Correlation functions in finite temperature CFT and black hole singularities

Rodriguez-Gomez,

Russo

2021

Preprint

View full text Add to dashboard Cite

We compute thermal 2-point correlation functions in the black brane AdS 5 background dual to 4d CFT's at finite temperature for operators of large scaling dimension. We find a formula that matches the expected structure of the OPE. It exhibits an exponentiation property, whose origin we explain. We also compute the first correction to the two-point function due to graviton emission, which encodes the time travel to the black hole singularity.

show abstract

Time Evolution of Entanglement Entropy from Black Hole Interiors

Cited by 140 publications

References 0 publications

Ballistic Spreading of Entanglement in a Diffusive Nonintegrable System

Ballistic Spreading of Entanglement in a Diffusive Nonintegrable System

Thermal correlation functions in CFT and factorization

Correlation functions in finite temperature CFT and black hole singularities

Contact Info

Product

Resources

About