Entanglement Negativity and Defect Extremal Surface
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866929418980556800 |
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| author | Shao, Yilu Yuan, Ma-Ke Zhou, Yang |
| author_facet | Shao, Yilu Yuan, Ma-Ke Zhou, Yang |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_05951 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Entanglement Negativity and Defect Extremal Surface Shao, Yilu Yuan, Ma-Ke Zhou, Yang High Energy Physics - Theory Strongly Correlated Electrons General Relativity and Quantum Cosmology 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. |
| title | Entanglement Negativity and Defect Extremal Surface |
| topic | High Energy Physics - Theory Strongly Correlated Electrons General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2206.05951 |