YITP-20-09, BRX-TH-6663 Quantum corrections to entanglement entropy after local quenches in large-c CFTs and holography Cesar A. Agón, a Sagar F. Lokhande b and Juan F. Pedraza c,d a C. N. Yang Institute for Theoretical Physics, State University of New York, Stony Brook NY 11794, USA b Department of Physics, University of Illinois, Urbana-Champaign, Urbana IL 61801, USA c Department of Physics and Astronomy, University College London, London WC1E 6BT, UK d Martin Fisher School of Physics, Brandeis University, Waltham MA 02453, USA E-mail: cesar.agon@stonybrook.edu, sagar.f.lokhande@gmail.com, j.pedraza@ucl.ac.uk 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 3 geometry and compute these corrections for bulk subregions anchored on the AdS boundary. In the dual CFT 2 , 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. arXiv:2004.15010v1 [hep-th] 30 Apr 2020