Local quenches, bulk entanglement entropy and a unitary Page curve
Abstract Quantum corrections to the entanglement entropy of matter fields interacting with dynamical gravity have proven to be very important in the study of the black hole information problem. We consider a one-particle excited state of a massive scalar field infalling in a pure AdS3 geometry and c...
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doaj-64a1b1dc0b34417887b97dafb10b00912020-11-25T03:01:11ZengSpringerOpenJournal of High Energy Physics1029-84792020-08-012020816110.1007/JHEP08(2020)152Local quenches, bulk entanglement entropy and a unitary Page curveCesar A. Agón0Sagar F. Lokhande1Juan F. Pedraza2C. N. Yang Institute for Theoretical Physics, State University of New YorkDepartment of Physics, University of IllinoisDepartment of Physics and Astronomy, University College LondonAbstract Quantum corrections to the entanglement entropy of matter fields interacting with dynamical gravity have proven to be very important in the study of the black hole information problem. We consider a one-particle excited state of a massive scalar field infalling in a pure AdS3 geometry and compute these corrections for bulk subregions anchored on the AdS boundary. In the dual CFT2, the state is given by the insertion of a local primary operator and its evolution thereafter. We calculate the area and bulk entanglement entropy corrections at order O N 0 , $$ \mathcal{O}\left({N}^0\right), $$ both in AdS and its CFT dual. The two calculations match, thus providing a non-trivial check of the FLM formula in a dynamical setting. Further, we observe that the bulk entanglement entropy follows a Page curve. We explain the precise sense in which our setup can be interpreted as a simple model of black hole evaporation and comment on the implications for the information problem.http://link.springer.com/article/10.1007/JHEP08(2020)152AdS-CFT CorrespondenceConformal Field TheoryBlack HolesHolography and condensed matter physics (AdS/CMT) |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Cesar A. Agón Sagar F. Lokhande Juan F. Pedraza |
spellingShingle |
Cesar A. Agón Sagar F. Lokhande Juan F. Pedraza Local quenches, bulk entanglement entropy and a unitary Page curve Journal of High Energy Physics AdS-CFT Correspondence Conformal Field Theory Black Holes Holography and condensed matter physics (AdS/CMT) |
author_facet |
Cesar A. Agón Sagar F. Lokhande Juan F. Pedraza |
author_sort |
Cesar A. Agón |
title |
Local quenches, bulk entanglement entropy and a unitary Page curve |
title_short |
Local quenches, bulk entanglement entropy and a unitary Page curve |
title_full |
Local quenches, bulk entanglement entropy and a unitary Page curve |
title_fullStr |
Local quenches, bulk entanglement entropy and a unitary Page curve |
title_full_unstemmed |
Local quenches, bulk entanglement entropy and a unitary Page curve |
title_sort |
local quenches, bulk entanglement entropy and a unitary page curve |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2020-08-01 |
description |
Abstract Quantum corrections to the entanglement entropy of matter fields interacting with dynamical gravity have proven to be very important in the study of the black hole information problem. We consider a one-particle excited state of a massive scalar field infalling in a pure AdS3 geometry and compute these corrections for bulk subregions anchored on the AdS boundary. In the dual CFT2, the state is given by the insertion of a local primary operator and its evolution thereafter. We calculate the area and bulk entanglement entropy corrections at order O N 0 , $$ \mathcal{O}\left({N}^0\right), $$ both in AdS and its CFT dual. The two calculations match, thus providing a non-trivial check of the FLM formula in a dynamical setting. Further, we observe that the bulk entanglement entropy follows a Page curve. We explain the precise sense in which our setup can be interpreted as a simple model of black hole evaporation and comment on the implications for the information problem. |
topic |
AdS-CFT Correspondence Conformal Field Theory Black Holes Holography and condensed matter physics (AdS/CMT) |
url |
http://link.springer.com/article/10.1007/JHEP08(2020)152 |
work_keys_str_mv |
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