TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.7.2.027
TI  - Entanglement negativity and defect extremal surface
PY  - 2024/05/08
UR  - https://scipost.org/SciPostPhysCore.7.2.027
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 7
IS  - 2
SP  - 027
A1  - Shao, Yilu
AU  - Yuan, Ma-Ke
AU  - Zhou, Yang
AB  - 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.
ER  -

@Article{10.21468/SciPostPhysCore.7.2.027,
	title={{Entanglement negativity and defect extremal surface}},
	author={Yilu Shao and Ma-Ke Yuan and Yang Zhou},
	journal={SciPost Phys. Core},
	volume={7},
	pages={027},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.7.2.027},
	url={https://scipost.org/10.21468/SciPostPhysCore.7.2.027},
}