dc.contributor.author
Jahn, Alexander
dc.contributor.author
Takayanagi, Tadashi
dc.date.accessioned
2019-05-22T07:50:10Z
dc.date.available
2019-05-22T07:50:10Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/24612
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-2375
dc.description.abstract
Understanding quantum entanglement in interacting higher-dimensional
conformal field theories is a challenging task, as direct analytical calculations
are often impossible to perform. With holographic entanglement entropy,
calculations of entanglement entropy turn into a problem of finding extremal
surfaces in a curved spacetime, which we tackle with a numerical finiteelement
approach. In this paper, we compute the entanglement entropy
between two half-spaces resulting from a local quench, triggered by a local
operator insertion in a CFT3. We find that the growth of entanglement entropy
at early time agrees with the prediction from the first law, as long as the
conformal dimension Δ of the local operator is small. Within the limited time
region that we can probe numerically, we observe deviations from the first
law and a transition to sub-linear growth at later time. In particular, the time
dependence at large Δ shows qualitative differences to the simple logarithmic
time dependence familiar from the CFT2 case. We hope that our work will
motivate further studies, both numerical and analytical, on entanglement
entropy in higher dimensions.
en
dc.format.extent
31 Seiten
dc.subject
holographic entanglement entropy
en
dc.subject
conformal field theory
en
dc.subject
finite element method
en
dc.subject
quantum quenches
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::530 Physik::530 Physik
dc.title
Holographic entanglement entropy of local quenches in AdS4/CFT3: a finite-element approach
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.doi
10.1088/1751-8121/aa8afa
dcterms.bibliographicCitation.journaltitle
Journal of Physics A: Mathematical and Theoretical
dcterms.bibliographicCitation.number
1
dcterms.bibliographicCitation.volume
51
dcterms.bibliographicCitation.url
https://doi.org/10.1088/1751-8121/aa8afa
dcterms.rightsHolder.note
Copyright des Verlags
dcterms.rightsHolder.url
https://publishingsupport.iopscience.iop.org/open_access/
refubium.affiliation
Physik
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.issn
1751-8113 (Print)
dcterms.isPartOf.issn
1751-8121 (Online)