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Generic non-equilibrium many-body systems display a linear growth of bipartite entanglement entropy in time, followed by a volume law saturation. In stark contrast, the Page curve dynamics of black hole physics shows that the entropy peaks…

Quantum Physics · Physics 2025-06-24 Rishabh Jha , Salvatore R. Manmana , Stefan Kehrein

The entanglement entropy of a black hole, and that of its Hawking radiation, are expected to follow the so-called Page curve: After an increase in line with Hawking's calculation, it is expected to decrease back to zero once the black hole…

Quantum Physics · Physics 2024-04-18 Jonas Glatthard

We consider an analytically tractable model that exhibits the main features of the Page curve characterizing the evolution of entanglement entropy during evaporation of a black hole. Our model is a gas of non-interacting fermions on a…

Quantum Physics · Physics 2024-03-01 Madhumita Saha , Manas Kulkarni , Abhishek Dhar

We study the entanglement entropy of a one-parameter family of exactly solvable gravities in the 2-dimensional asymptotically-flat space. The islands and Page curves of eternal, evaporating and bath-removed black holes are investigated. The…

High Energy Physics - Theory · Physics 2021-07-07 Xuanhua Wang , Ran Li , Jin Wang

We study entanglement dynamics in toy models of black hole information built out of chaotic many-body quantum systems, by utilising a coarse-grained description of entanglement dynamics in such systems known as the `entanglement membrane'.…

High Energy Physics - Theory · Physics 2024-03-07 Mike Blake , Anthony P. Thompson

We consider time dynamics of entanglement entropy between a filled fermionic system and an empty reservoir. We consider scenarios (i) where the system is subjected to a dephasing mechanism and the reservoir is clean, thereby emulating…

Statistical Mechanics · Physics 2025-01-22 Katha Ganguly , Preethi Gopalakrishnan , Atharva Naik , Bijay Kumar Agarwalla , Manas Kulkarni

The island paradigm for the fine-grained entropy of Hawking radiation is applied to eternal charged accelerating black holes. In the absence of the island, the entanglement entropy grows linearly and divergent at late times, while once the…

High Energy Physics - Theory · Physics 2023-07-04 Ming-Hui Yu , Xian-Hui Ge , Cheng-Yuan Lu

By applying the island rule proposed recently, we compute the entanglement entropy of Hawking radiation and study the Page curve for the eternal black holes in massive gravity. We investigate for both the neutral and charged black holes…

High Energy Physics - Theory · Physics 2022-05-18 Cao H. Nam

We study the Page curve in the four dimensional asymptotically flat eternal Garfinkle-Horowitz-Strominger dilaton black holes by applying the "quantum extremal surface" prescription. The results demonstrate that without island, the…

High Energy Physics - Theory · Physics 2022-03-25 Ming-Hui Yu , Xian-Hui Ge

Motivated by the quantum process of black hole evaporation and its implications for symmetries, we consider a qubit system with a random dynamics as a toy model of black hole. We compute its symmetry-resolved entropies and discuss its…

High Energy Physics - Theory · Physics 2022-10-19 Pak Hang Chris Lau , Toshifumi Noumi , Yuhei Takii , Kotaro Tamaoka

We study the Page curve and information paradox for Kerr AdS black hole in light of entanglement entropy by employing the recently proposed island paradigm. By incorporating the island rule, we show that the entanglement entropy of Kerr AdS…

High Energy Physics - Theory · Physics 2026-02-04 Digen Das , Mozib Bin Awal , Prabwal Phukon

The Page curve plotted by the typical random state approximation is not applicable to a system with conserved quantities, such as the evaporation process of a charged black hole during which the electric charge does not radiate out with a…

High Energy Physics - Theory · Physics 2024-04-02 Pan Li , Yi Ling

We study the Page curve for asymptotically flat eternal Schwarzschild black holes in four and higher spacetime dimensions. Before the Page time, the entanglement entropy grows linearly in time. After the Page time, the entanglement entropy…

High Energy Physics - Theory · Physics 2020-07-15 Koji Hashimoto , Norihiro Iizuka , Yoshinori Matsuo

The Page curve is a curve of average subsystem entropy as a function of subsystem size. The curve starts from 0, rises, peaks near the maximal possible entropy when the subsystem makes up half of the total system, and then falls back to 0.…

Quantum Physics · Physics 2025-10-03 Oscar C. O. Dahlsten

For an evaporating black hole which is a radiation-black hole combined system, we express the entanglement entropy and the Page time in terms of the conformal time in the RST model. The entropy change of the black hole is nicely written in…

High Energy Physics - Theory · Physics 2014-09-17 Myungseok Eune , Yongwan Gim , Wontae Kim

If the evaporation of a black hole formed from a pure state is unitary, the entanglement entropy of the Hawking radiation should follow the Page curve, increasing from zero until near the halfway point of the evaporation, and then…

High Energy Physics - Theory · Physics 2021-03-31 Hong Liu , Shreya Vardhan

We study the Page curve of an evaporating black hole using a toy model given by Jackiw-Teitelboim gravity with Fateev-Zamolodchikov-Zamolodchikov-Teschner (FZZT) antibranes. We treat the anti-FZZT branes as dynamical objects, taking their…

High Energy Physics - Theory · Physics 2022-02-15 Kazumi Okuyama , Kazuhiro Sakai

Typically, the von Neumann entropy of a subsystem increases until it plateaus at the thermal value. Under some circumstances, however, the intermediate value can dwarf the final value, even if the subsystem starts in a pure state. A famous…

Quantum Physics · Physics 2025-01-17 Jonas Glatthard

Black hole thermodynamics suggests that, in order to describe the physics of distant observers, one may model a black hole as a standard quantum system with density of states set by the Bekenstein-Hawking entropy $S_\mathrm{BH}$. This idea…

High Energy Physics - Theory · Physics 2022-01-26 Donald Marolf , Henry Maxfield

In this paper, we extend the method of calculating the entanglement entropy of Hawking radiation of black holes using the "in" vacuum state, which describes one-sided asymptotically flat neutral black hole formed by gravitational collapse,…

General Relativity and Quantum Cosmology · Physics 2024-08-15 Yun-Feng Qu , Yi-Ling Lan , Hongwei Yu , Wen-Cong Gan , Fu-Wen Shu
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