Entanglement Negativity and Defect Extremal Surface
High Energy Physics - Theory
2024-07-16 v4 Strongly Correlated Electrons
General Relativity and Quantum Cosmology
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/BCFT. 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.
Cite
@article{arxiv.2206.05951,
title = {Entanglement Negativity and Defect Extremal Surface},
author = {Yilu Shao and Ma-Ke Yuan and Yang Zhou},
journal= {arXiv preprint arXiv:2206.05951},
year = {2024}
}