scholarly journals The Python’s Lunch: geometric obstructions to decoding Hawking radiation

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Adam R. Brown ◽  
Hrant Gharibyan ◽  
Geoff Penington ◽  
Leonard Susskind
Keyword(s):  
Black Hole ◽  
Quantum State ◽  
Hawking Radiation ◽  
Network Models ◽  
Geometric Properties ◽  
Link Type ◽  
Tensor Network ◽  
The Difference ◽  
Computational Difficulty ◽  
Generalized Entropies

Abstract According to Harlow and Hayden [arXiv:1301.4504] the task of distilling information out of Hawking radiation appears to be computationally hard despite the fact that the quantum state of the black hole and its radiation is relatively un-complex. We trace this computational difficulty to a geometric obstruction in the Einstein-Rosen bridge connecting the black hole and its radiation. Inspired by tensor network models, we conjecture a precise formula relating the computational hardness of distilling information to geometric properties of the wormhole — specifically to the exponential of the difference in generalized entropies between the two non-minimal quantum extremal surfaces that constitute the obstruction. Due to its shape, we call this obstruction the ‘Python’s Lunch’, in analogy to the reptile’s postprandial bulge.

scholarly journals Hayden-Preskill decoding from noisy Hawking radiation

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Ning Bao ◽  
Yuta Kikuchi
Keyword(s):  
Black Hole ◽  
Quantum State ◽  
Hawking Radiation ◽  
Thought Experiment ◽  
Natural Question ◽  
Early Radiation

Abstract In the Hayden-Preskill thought experiment, the Hawking radiation emitted before a quantum state is thrown into the black hole is used along with the radiation collected later for the purpose of decoding the quantum state. A natural question is how the recoverability is affected if the stored early radiation is damaged or subject to decoherence, and/or the decoding protocol is imperfectly performed. We study the recoverability in the thought experiment in the presence of decoherence or noise in the storage of early radiation.

PARTICLE TUNNELS FROM GARFINKLE–HORNE BLACK HOLE AND HOROWITZ–STROMINGER BLACK HOLE

2005 ◽  
Vol 14 (10) ◽  
pp. 1699-1705 ◽  
Author(s):  
HENGZHONG FANG ◽  
JUN REN ◽  
ZHENG ZHAO
Keyword(s):  
Black Hole ◽  
Energy Spectrum ◽  
Hawking Radiation ◽  
Wkb Approximation ◽  
Before And After ◽  
The Difference

When the black hole radiates particles, it losses energy and shrinks, it is the contraction of the horizon that sets the tunnelling barrier. This article extents the work of M. Parikh to GH black hole and HS black hole. Applying WKB approximation, we calculate the rate of Hawking radiation and found that the rate of tunnelling equals precisely the exponent of the difference of the entropy of the black hole before and after emission. We also obtain the result that the energy spectrum of radiation deviates from the exact thermality.

scholarly journals Tensor network models of unitary black hole evaporation

2017 ◽  
Vol 2017 (8) ◽  
Author(s):  
Samuel Leutheusser ◽  
Mark Van Raamsdonk
Keyword(s):  
Black Hole ◽  
Network Models ◽  
Black Hole Evaporation ◽  
Tensor Network

scholarly journals Islands and stretched horizon

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Yoshinori Matsuo
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Hawking Radiation ◽  
Entanglement Entropy ◽  
Total System ◽  
Island Rule ◽  
Asymptotically Flat ◽  
Flat Spacetime ◽  
Ads Spacetime ◽  
Hole Geometry

Abstract Recently it was proposed that the entanglement entropy of the Hawking radiation contains the information of a region including the interior of the event horizon, which is called “island.” In studies of the entanglement entropy of the Hawking radiation, the total system in the black hole geometry is separated into the Hawking radiation and black hole. In this paper, we study the entanglement entropy of the black hole in the asymptotically flat Schwarzschild spacetime. Consistency with the island rule for the Hawking radiation implies that the information of the black hole is located in a different region than the island. We found an instability of the island in the calculation of the entanglement entropy of the region outside a surface near the horizon. This implies that the region contains all the information of the total system and the information of the black hole is localized on the surface. Thus the surface would be interpreted as the stretched horizon. This structure also resembles black holes in the AdS spacetime with an auxiliary flat spacetime, where the information of the black hole is localized at the interface between the AdS spacetime and the flat spacetime.

Where Does Hawking Radiation of a Dynamical Black Hole Come from?

2010 ◽  
Vol 49 (5) ◽  
pp. 1088-1095 ◽  
Author(s):  
Xianming Liu ◽  
Wenbiao Liu
Keyword(s):  
Black Hole ◽  
Hawking Radiation

scholarly journals Islands and Page curves of Reissner-Nordström black holes

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Xuanhua Wang ◽  
Ran Li ◽  
Jin Wang
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Hawking Radiation ◽  
Entanglement Entropy ◽  
Additional Term ◽  
Current Case ◽  
Information Paradox ◽  
Extremal Surface ◽  
Four Dimensions ◽  
Black Hole Information

Abstract We apply the recently proposed quantum extremal surface construction to calculate the Page curve of the eternal Reissner-Nordström black holes in four dimensions ignoring the backreaction and the greybody factor. Without the island, the entropy of Hawking radiation grows linearly with time, which results in the information paradox for the eternal black holes. By extremizing the generalized entropy that allows the contributions from the island, we find that the island extends to the outside the horizon of the Reissner-Nordström black hole. When taking the effect of the islands into account, it is shown that the entanglement entropy of Hawking radiation at late times for a given region far from the black hole horizon reproduces the Bekenstein-Hawking entropy of the Reissner-Nordström black hole with an additional term representing the effect of the matter fields. The result is consistent with the finiteness of the entanglement entropy for the radiation from an eternal black hole. This facilitates to address the black hole information paradox issue in the current case under the above-mentioned approximations.

Hawking radiation from the charged and magnetized BTZ black hole via covariant anomaly

2009 ◽  
Vol 18 (2) ◽  
pp. 462-467 ◽  
Author(s):  
Zeng Xiao-Xiong ◽  
Yang Shu-Zheng
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Btz Black Hole ◽  
Covariant Anomaly

scholarly journals Tensor network and a black hole

2013 ◽  
Vol 87 (6) ◽  
Author(s):  
Hiroaki Matsueda ◽  
Masafumi Ishihara ◽  
Yoichiro Hashizume
Keyword(s):  
Black Hole ◽  
Tensor Network
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