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Local quenches, bulk entanglement entropy and a unitary Page curve.
- Source :
- Journal of High Energy Physics; Aug2020, Vol. 2020 Issue 8, pN.PAG-N.PAG, 1p
- Publication Year :
- 2020
-
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 AdS<subscript>3</subscript> geometry and compute these corrections for bulk subregions anchored on the AdS boundary. In the dual CFT<subscript>2</subscript>, 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 , 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 11266708
- Volume :
- 2020
- Issue :
- 8
- Database :
- Complementary Index
- Journal :
- Journal of High Energy Physics
- Publication Type :
- Academic Journal
- Accession number :
- 146006671
- Full Text :
- https://doi.org/10.1007/JHEP08(2020)152