Entanglement negativity and defect extremal surface
Yilu Shao, Ma-Ke Yuan, Yang Zhou
SciPost Phys. Core 7, 027 (2024) · published 8 May 2024
- doi: 10.21468/SciPostPhysCore.7.2.027
- Submissions/Reports
Abstract
We study entanglement negativity for evaporating black hole based on the holographic model with defect brane. We introduce a defect extremal surface formula for entanglement negativity. Based on partial reduction, we show the equivalence between defect extremal surface formula and island formula for entanglement negativity in AdS$_3$/BCFT$_2$. Extending the study to the model of eternal black hole plus CFT bath, we find that black hole-black hole negativity decreases until vanishing, left black hole-left radiation negativity is always a constant, radiation-radiation negativity increases and then saturates at a time later than Page time. In all the time dependent cases, defect extremal surface formula agrees with island formula.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Yilu Shao,
- 1 Ma-Ke Yuan,
- 1 2 Yang Zhou