Entanglement entropy and vacuum states in Schwarzschild geometry

Matsuo, Yohtaro

doi:10.1007/jhep06(2022)109

Cited by 9 publications

(5 citation statements)

References 107 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Due to the absence of incoming flux, s-wave approximation is valid for "in" vacuum state of one-sided black hole formed from collapsing of spherical null shell when cutoff surface A is far from horizon. The use of "in" vacuum state is the key difference between our paper and the other papers that use Hartle-Hawking state [28][29][30][31][33][34][35][36]. We find that, when cutoff surface is far from horizon, island emerges at late time with its boundary ∂I inside and at vicinity of horizon and saves the entropy bound.…”

Section: Conclusion and Discussionmentioning

confidence: 77%

“…is the key difference between our paper and the other papers that use Hartle-Hawking state [28][29][30][31][33][34][35][36]. We would like to leave rigorous discussion on the validity of s-wave approximation for future work.…”

Section: A Hawking Radiation In the Background Of Dynamical Black Hol...mentioning

confidence: 96%

“…Up to now, as far as we know, most of the papers that discuss Schwarzschild black hole [28][29][30][31][32] and Reissner-Nordström black hole [33,34] only concern about eternal black hole and static vacuum [36]. In [28], the authors discuss one-sided dynamical black hole but they implicitly assume Hartle-Hawking state [37] which is more appropriate to eternal black hole.…”

Section: Introductionmentioning

confidence: 99%

“…In addition, different from Hartle-Hawking state for eternal black hole, 1 due to absence of incoming flux, s-wave approximation is valid for "in" vacuum state of one-sided black hole formed from collapsing of spherical null shell when cutoff surface A is far from horizon (see appendix A). The use of "in" vacuum state is the key difference between our paper and the other papers that use Hartle-Hawking state [28][29][30][31][33][34][35][36]. This paper is organized as follows.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Island and Page curve for one-sided asymptotically flat black hole

Gan

Dong-Hui

Shu

2022

J. High Energ. Phys.

View full text Add to dashboard Cite

Great breakthrough in solving black hole information paradox took place when semiclassical island rule for entanglement entropy of Hawking radiation was proposed in recent years. Up to now, most papers which discussed island rule of asymptotic flat black hole with D ≥ 4 focus on eternal black hole. In this paper, we take one more step further by discussing island of “in” vacuum state which describes one-sided asymptotically flat black hole formed by gravitational collapse in D ≥ 4. We find that island I emerges at late time and saves entropy bound. And boundary of island ∂I depends on the position of cutoff surface. When cutoff surface is far from horizon, ∂I is inside and near horizon. When cutoff surface is set to be near horizon, ∂I is outside and near horizon. This is different from the case of eternal black hole in which ∂I is always outside horizon no matter cutoff surface is far from or near horizon. We will see that different states will manifestly affect Sent in island formula when cutoff surface is far from horizon and thus have different result for Page time.

show abstract

Section: Conclusion and Discussionmentioning

confidence: 77%

Section: A Hawking Radiation In the Background Of Dynamical Black Hol...mentioning

confidence: 96%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Island and Page curve for one-sided asymptotically flat black hole

Gan

Dong-Hui

Shu

2022

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…Avanços recentes tem sido realizados na direção de entender as propriedades de emaranhamento de estados excitados (28)(29), cadeias quânticas de spins não hermitianas (30)(31)(32) e na correspondência AdS/CFT. (33)(34)(35) Nos últimos anos, sistemas quânticos não hermitianos tem recebido um aumento significativo de atenção da comunidade científica. Esse aumento é impulsionado por avanços teóricos e experimentais realizados neste campo.…”

Section: 61unclassified

Comportamento crítico e informação quântica em cadeias quânticas de spins descritas por férmions ou paraférmions livres

Ramos¹

View full text Add to dashboard Cite

Certa vez ouvi de um colega do IFSC, inteligentíssimo, por sinal, que Deus era campo. Permita-me ir além dizendo que somos partículas e, estamos da criação à aniquilação, imersos num campo. Por isso agradeço a Deus por todo trabalho realizado sobre esta ínfima partícula, possibilitando essa bela pesquisa. Também agradeço pela orientação, paciência e dedicação de meu orientador, prof. Dr. Francisco C. Alcaraz. A mim, fica o exemplo de uma grande pessoa, um grande cientista e um ótimo profissional, com quem sou grato de ter trabalhado os últimos dois anos. Agradeço a minha mãe, Vanilda, e meu pai, Niltom, que incondicionalmente me apoiam desde a graduação. Também sou grato aos meus irmãos, Larissa, Matheus e Thiago pelo suporte ao longo dessa trajetória. A minha bela amada Denise, meu porto seguro e refúgio em tempos tão difíceis, eu cito Carl Sagan, dizendo:"Diante da vastidão do tempo e da imensidão do universo, é um imenso prazer para mim dividir um planeta e uma época com você." Agradeço aos professores Leonardo, Miled, Eric e Reginaldo pelos esforços ao ministrarem disciplinas que foram fundamentais em minha formação como mestre. Agradeço a USP, ao IFSC e a todos os seus funcionários por me propiciarem um ambiente digno de ensino, pesquisa e extensão. Agradeço a todo o povo brasileiro que, através do CNPq (processo 130157/2021-0), financiou essa pesquisa. "Quem anda no trilho é trem de ferro. Sou água que corre entre pedras: -liberdade caça jeito. Procuro com meus rios os passarinhos Eu falo desemendado." Liberdade caça jeito -Manoel de Barros RESUMO RAMOS, L. M. Comportamento crítico e informação quântica em cadeias quânticas de spins descritas por férmions ou paraférmions livres. 2023. 102p.

show abstract

Small Schwarzschild de Sitter black holes, the future boundary and islands

Goswami,

Narayan

2024

J. High Energ. Phys.

View full text Add to dashboard Cite

We continue the study of 4-dimensional Schwarzschild de Sitter black holes in the regime where the black hole mass is small compared with the de Sitter scale, following arXiv:2207.10724 [hep-th]. The de Sitter temperature is very low compared with that of the black hole. We consider the future boundary as the location where the black hole Hawking radiation is collected. Using 2-dimensional tools, we find unbounded growth of the entanglement entropy of radiation as the radiation region approaches the entire future boundary. Self-consistently including appropriate late time islands emerging just inside the black hole horizon leads to a reasonable Page curve. We also discuss other potential island solutions which show inconsistencies.

show abstract

Entanglement entropy and vacuum states in Schwarzschild geometry

Cited by 9 publications

References 107 publications

Island and Page curve for one-sided asymptotically flat black hole

Island and Page curve for one-sided asymptotically flat black hole

Comportamento crítico e informação quântica em cadeias quânticas de spins descritas por férmions ou paraférmions livres

Small Schwarzschild de Sitter black holes, the future boundary and islands

Contact Info

Product

Resources

About