Entanglement at the soft-hair horizon
We study entanglement between two modes of a free bosonic and fermionic field as seen by two relatively accelerating observers at the soft-hair horizon of a four-dimensional supertranslated Schwarzschild black hole. First, we associate the shock wave to the near horizon geometry by explicit construc...
Main Authors: | , |
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Format: | Article |
Language: | English |
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Elsevier
2022-10-01
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Series: | Physics Letters B |
Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269322005196 |
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author | Sayid Mondal Wen-Yu Wen |
author_facet | Sayid Mondal Wen-Yu Wen |
author_sort | Sayid Mondal |
collection | DOAJ |
description | We study entanglement between two modes of a free bosonic and fermionic field as seen by two relatively accelerating observers at the soft-hair horizon of a four-dimensional supertranslated Schwarzschild black hole. First, we associate the shock wave to the near horizon geometry by explicit construction of map between their metric as well as relation between wave form factor and soft hair function. We then compute mutual information and entanglement negativity as a measure of entanglement between these two observers and show that their angular dependence at the soft-hair horizon. We also show that for vanishing soft hair function our results are equal to that of an ordinary Schwarzschild black hole case. |
first_indexed | 2024-04-11T21:28:09Z |
format | Article |
id | doaj.art-00ae9f6ea78d4eabafff82b196d8fc54 |
institution | Directory Open Access Journal |
issn | 0370-2693 |
language | English |
last_indexed | 2024-04-11T21:28:09Z |
publishDate | 2022-10-01 |
publisher | Elsevier |
record_format | Article |
series | Physics Letters B |
spelling | doaj.art-00ae9f6ea78d4eabafff82b196d8fc542022-12-22T04:02:18ZengElsevierPhysics Letters B0370-26932022-10-01833137385Entanglement at the soft-hair horizonSayid Mondal0Wen-Yu Wen1Center for High Energy Physics and Department of Physics, Chung-Yuan Christian University, Taoyuan, TaiwanCenter for High Energy Physics and Department of Physics, Chung-Yuan Christian University, Taoyuan, Taiwan; Leung Center for Cosmology and Particle Astrophysics, National Taiwan University, Taipei, Taiwan; Corresponding author.We study entanglement between two modes of a free bosonic and fermionic field as seen by two relatively accelerating observers at the soft-hair horizon of a four-dimensional supertranslated Schwarzschild black hole. First, we associate the shock wave to the near horizon geometry by explicit construction of map between their metric as well as relation between wave form factor and soft hair function. We then compute mutual information and entanglement negativity as a measure of entanglement between these two observers and show that their angular dependence at the soft-hair horizon. We also show that for vanishing soft hair function our results are equal to that of an ordinary Schwarzschild black hole case.http://www.sciencedirect.com/science/article/pii/S0370269322005196 |
spellingShingle | Sayid Mondal Wen-Yu Wen Entanglement at the soft-hair horizon Physics Letters B |
title | Entanglement at the soft-hair horizon |
title_full | Entanglement at the soft-hair horizon |
title_fullStr | Entanglement at the soft-hair horizon |
title_full_unstemmed | Entanglement at the soft-hair horizon |
title_short | Entanglement at the soft-hair horizon |
title_sort | entanglement at the soft hair horizon |
url | http://www.sciencedirect.com/science/article/pii/S0370269322005196 |
work_keys_str_mv | AT sayidmondal entanglementatthesofthairhorizon AT wenyuwen entanglementatthesofthairhorizon |