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...

Full description

Bibliographic Details
Main Authors: Sayid Mondal, Wen-Yu Wen
Format: Article
Language:English
Published: Elsevier 2022-10-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269322005196
_version_ 1798037557078917120
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