Local quenches, bulk entanglement entropy and a unitary Page curve

Understand

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 $\mathcal{O}(N^0)$, both in AdS and its CFT dual.