scholarly journals Islands in the stream of Hawking radiation

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Timothy J. Hollowood ◽  
S. Prem Kumar ◽  
Andrea Legramandi ◽  
Neil Talwar
Keyword(s):  
Black Hole ◽  
Quantum Information ◽  
Hawking Radiation ◽  
Adiabatic Limit ◽  
Black Hole Evaporation ◽  
Generalized Entropy ◽  
Strong Subadditivity

Abstract We consider the island formula for the entropy of subsets of the Hawking radiation in the adiabatic limit where the black hole evaporation is very slow. We find a simple concrete ‘on-shell’ formula for the generalized entropy which involves the image of the island out in the stream of radiation, the ‘island in the stream’. The resulting recipe for the entropy allows us to calculate the quantum information properties of the radiation and verify various constraints including the Araki-Lieb inequality and strong subadditivity.

scholarly journals Quantum maximin surfaces

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Chris Akers ◽  
Netta Engelhardt ◽  
Geoff Penington ◽  
Mykhaylo Usatyuk
Keyword(s):  
Black Hole ◽  
Von Neumann Entropy ◽  
Quantum Fields ◽  
Extremal Surface ◽  
Von Neumann ◽  
Black Hole Evaporation ◽  
Generalized Entropy ◽  
General Proof ◽  
Strong Subadditivity ◽  
New Models

Abstract We formulate a quantum generalization of maximin surfaces and show that a quantum maximin surface is identical to the minimal quantum extremal surface, introduced in the EW prescription. We discuss various subtleties and complications associated to a maximinimization of the bulk von Neumann entropy due to corners and unboundedness and present arguments that nonetheless a maximinimization of the UV-finite generalized entropy should be well-defined. We give the first general proof that the EW prescription satisfies entanglement wedge nesting and the strong subadditivity inequality. In addition, we apply the quantum maximin technology to prove that recently proposed generalizations of the EW prescription to nonholographic subsystems (including the so-called “quantum extremal islands”) also satisfy entanglement wedge nesting and strong subadditivity. Our results hold in the regime where backreaction of bulk quantum fields can be treated perturbatively in GNħ, but we emphasize that they are valid even when gradients of the bulk entropy are of the same order as variations in the area, a regime recently investigated in new models of black hole evaporation in AdS/CFT.

THE UNREASONABLE EFFECTIVENESS OF EXPONENTIALLY SUPPRESSED CORRECTIONS IN PRESERVING INFORMATION

2013 ◽  
Vol 22 (12) ◽  
pp. 1342030 ◽  
Author(s):  
KYRIAKOS PAPADODIMAS ◽  
SUVRAT RAJU
Keyword(s):  
Hilbert Space ◽  
Black Hole ◽  
Quantum Mechanics ◽  
Nonperturbative Effects ◽  
Von Neumann Entropy ◽  
Von Neumann ◽  
Information Theoretic ◽  
Black Hole Evaporation ◽  
Strong Subadditivity ◽  
Unreasonable Effectiveness

We point out that nonperturbative effects in quantum gravity are sufficient to reconcile the process of black hole evaporation with quantum mechanics. In ordinary processes, these corrections are unimportant because they are suppressed by e-S. However, they gain relevance in information-theoretic considerations because their small size is offset by the corresponding largeness of the Hilbert space. In particular, we show how such corrections can cause the von Neumann entropy of the emitted Hawking quanta to decrease after the Page time, without modifying the thermal nature of each emitted quantum. Second, we show that exponentially suppressed commutators between operators inside and outside the black hole are sufficient to resolve paradoxes associated with the strong subadditivity of entropy without any dramatic modifications of the geometry near the horizon.

Hawking radiation of charged fermions from accelerating and rotating black holes with generalized uncertainty principle

2019 ◽  
Vol 28 (08) ◽  
pp. 1950102
Author(s):  
Muhammad Rizwan ◽  
Khalil Ur Rehman
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Uncertainty Principle ◽  
Hawking Radiation ◽  
Generalized Uncertainty Principle ◽  
Hawking Temperature ◽  
Black Hole Evaporation ◽  
Rotating Black Holes ◽  
Gravity Effects ◽  
Made In

By considering the quantum gravity effects based on generalized uncertainty principle, we give a correction to Hawking radiation of charged fermions from accelerating and rotating black holes. Using Hamilton–Jacobi approach, we calculate the corrected tunneling probability and the Hawking temperature. The quantum corrected Hawking temperature depends on the black hole parameters as well as quantum number of emitted particles. It is also seen that a remnant is formed during the black hole evaporation. In addition, the corrected temperature is independent of an angle [Formula: see text] which contradicts the claim made in the literature.

scholarly journals Planckian physics comes into play at Planckian distance from horizon

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Pei-Ming Ho ◽  
Hikaru Kawai ◽  
Yuki Yokokura
Keyword(s):  
Black Hole ◽  
Gravitational Collapse ◽  
Hawking Radiation ◽  
Effective Theory ◽  
Planck Length ◽  
Black Hole Evaporation ◽  
Higher Derivative ◽  
The Creation ◽  
Transition Amplitudes

Abstract In the background of a gravitational collapse, we compute the transition amplitudes for the creation of particles for distant observers due to higher-derivative interactions in addition to Hawking radiation. The amplitudes grow exponentially with time and become of order 1 when the collapsing matter is about a Planck length outside the horizon. As a result, the effective theory breaks down at the scrambling time, invalidating its prediction of Hawking radiation. Planckian physics comes into play to decide the fate of black-hole evaporation.

scholarly journals Back-Reaction in Canonical Analogue Black Holes

2020 ◽  
Vol 10 (24) ◽  
pp. 8868
Author(s):  
Stefano Liberati ◽  
Giovanni Tricella ◽  
Andrea Trombettoni
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Density Distribution ◽  
Hawking Radiation ◽  
Einstein Condensate ◽  
Back Reaction ◽  
Unitary Evolution ◽  
Black Hole Evaporation ◽  
Bose Einstein Condensate ◽  
Bose Einstein

We study the back-reaction associated with Hawking evaporation of an acoustic canonical analogue black hole in a Bose–Einstein condensate. We show that the emission of Hawking radiation induces a local back-reaction on the condensate, perturbing it in the near-horizon region, and a global back-reaction in the density distribution of the atoms. We discuss how these results produce useful insights into the process of black hole evaporation and its compatibility with a unitary evolution.

Black-hole Information Loss Problem: Past, Present, and Future

2020 ◽  
Vol 29 (11) ◽  
pp. 17-25
Author(s):  
Sang-Heon YI ◽  
Dong-han YEOM
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Mechanics ◽  
Quantum Information ◽  
Hawking Radiation ◽  
Recent Progress ◽  
Information Loss ◽  
Future Perspectives ◽  
Black Hole Information ◽  
Information Loss Problem

In this article, we discuss the information loss problem of black holes and critically review candidate resolutions of the problem. As a black hole evaporates via Hawking radiation, it seems to lose original quantum information; this indicates that the unitarity of time evolution in quantum mechanics and the fundamental predictability of physics are lost. We categorized candidate resolutions by asking (1) where information is and (2) which principle of physics is changed. We also briefly comment on the recent progress in the string theory community. Finally, we present several remarks for future perspectives.

Hawking Radiation and Black Hole Evaporation

2013 ◽  
pp. 27-50
Author(s):  
Xavier Calmet ◽  
Bernard Carr ◽  
Elizabeth Winstanley
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Black Hole Evaporation

Hawking Radiation of Charged Particles as Tunneling from Kim Black Hole

2012 ◽  
Vol 538-541 ◽  
pp. 2169-2174
Author(s):  
Qing Quan Jiang
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Quantum Tunneling ◽  
Radiation Spectrum ◽  
Charged Particles ◽  
Information Loss ◽  
Unitary Theory ◽  
Conservation Of Energy ◽  
Black Hole Evaporation ◽  
Tunneling Method

In this paper, when considering the conservation of energy, electric charge and angular momentum, we develop the Parikh-Wilczek’s quantum tunneling method to study the Hawking radiation of charged particles via tunneling from the event horizon of Kim black hole. The result shows the exact radiation spectrum deviates from the precisely thermal one, but satisfies an underlying unitary theory, which provides a possible solution to the information loss during the black hole evaporation.

BARYOGENESIS FROM BLACK HOLE EVAPORATION

1995 ◽  
Vol 04 (04) ◽  
pp. 517-529 ◽  
Author(s):  
A.S. MAJUMDAR ◽  
P. DAS GUPTA ◽  
R.P. SAXENA
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Hawking Radiation ◽  
Baryon Asymmetry ◽  
False Vacuum ◽  
Black Hole Evaporation ◽  
Inflationary Phase ◽  
The Universe

The possibility of baryogenesis through the evaporation of black holes formed during extended inflation is explored. These black holes are produced due to the collapse of trapped regions of false vacuum during the inflationary phase transition. Immediately after formation, the accretion of mass from the surrounding hot radiation bath in the universe is shown to be an important effect. This causes the lifetime of the black holes to be considerably elongated before they evaporate out through the process of Hawking radiation. It is shown that a sufficient number of black holes last up to well past the electroweak era and hence contribute to the surviving baryon asymmetry in the universe.

HOW FAST DOES A BLACK HOLE RADIATE INFORMATION?

1994 ◽  
Vol 03 (01) ◽  
pp. 93-106 ◽  
Author(s):  
DON N PAGE
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Black Hole Evaporation ◽  
Do So

If the information that falls into a black hole comes back out in the Hawking radiation, how fast might it be expected to do so? An estimate based on the average entropy of a subsystem shows that it may come out so slowly in the initial stages of black hole evaporation that it would never be predicted by a perturbative analysis.

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