The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Holographic evolution of entanglement entropy
Open accessAbstract
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 field theory starts in a pure state, its vacuum, and undergoes a perturbation that brings it far from equilibrium. The entanglement entropy in this set up provides a measurement of the quantum entanglement in the system. Using holographic techniques we recover the same result obtained before from the study of processes triggered by a sudden change in a parameter of the hamiltonian, known as quantum quenches. Namely, entanglement in 2-dimensional conformal field theories propagates with velocity v2 = 1 [1]. Both in quantum quenches and in the Vaidya model equilibration is only achieved at the local level. Remarkably, the holographic derivation of this last fact requires information from behind the apparent horizon generated in the process of gravitational collapse described by the Vaidya geometry. In the early stages of the evolution the apparent horizon seems however to play no relevant role with regard to the entanglement entropy. We speculate on the possibility of deriving a thermalization time for occupation numbers from our analysis.
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Cites
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“4) holds, interpreting γ as an extremal surface in the unrestricted gravity background subject to the same boundary conditions [19].”
BackgroundInfluentialA Covariant Holographic Entanglement Entropy Proposal
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Black holes and the butterfly effect
Shenker, S. H., & Stanford, D. (2014) · Journal of High Energy Physics · doi:10.1007/jhep03(2014)067 · Cited by 1,533
Time evolution of entanglement entropy from black hole interiors
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Causality & holographic entanglement entropy
Headrick, M., Hubeny, V. E., Lawrence, A., & Rangamani, M. (2014) · Journal of High Energy Physics · doi:10.1007/jhep12(2014)162 · Cited by 418
Entanglement Tsunami: Universal Scaling in Holographic Thermalization
Liu, H., & Suh, S. J. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.011601 · Cited by 369
Balasubramanian, V., Bernamonti, A., de Boer, J., Copland, N., Craps, B., Keski-Vakkuri, E., Müller, B., Schäfer, A., Shigemori, M., & Staessens, W. (2011) · Physical Review D · doi:10.1103/physrevd.84.026010 · Cited by 281
Metadata
- Authors
- Abajo-Arrastia, J., Aparício, J., & López, E.
- Venue
- Journal of High Energy Physics
- Published
- 2010-11
- Volume
- 2010
- Issue
- 11
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2081621622
- Cited by
- 279
- References
- 10
- FWCI
- 11.79
- Type
- journal article
- Language
- en
- Open access
- green
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