scholarly journals Extremal surface barriers

2014 ◽  
Vol 2014 (3) ◽  
Author(s):  
Netta Engelhardt ◽  
Aron C. Wall
Keyword(s):  
Extremal Surface ◽  
Surface Barriers

Magnetotransport behavior of polycrystallineYBa2Cu3O7: A possible role for surface barriers

1995 ◽  
Vol 52 (2) ◽  
pp. R739-R742 ◽  
Author(s):  
Shi Li ◽  
M. Fistul ◽  
J. Deak ◽  
P. Metcalf ◽  
G. F. Giuliani ◽  
...  
Keyword(s):  
Surface Barriers

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.

Recognizing the Important Role of Surface Barriers in MOR Zeolite Catalyzed DME Carbonylation Reaction

ACS Catalysis ◽  
2021 ◽  
pp. 1-7
Author(s):  
Kaipeng Cao ◽  
Dong Fan ◽  
Mingbin Gao ◽  
Benhan Fan ◽  
Nan Chen ◽  
...  
Keyword(s):  
Carbonylation Reaction ◽  
Surface Barriers

scholarly journals Defect extremal surface for reflected entropy

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Tianyi Li ◽  
Ma-Ke Yuan ◽  
Yang Zhou
Keyword(s):  
Black Hole ◽  
Mixed State ◽  
Entanglement Entropy ◽  
Quantum Defect ◽  
Entropy Measure ◽  
Extremal Surface ◽  
Decomposition Procedure ◽  
Hole Model ◽  
Quantum Defect Theory

Abstract Defect extremal surface is defined by extremizing the Ryu-Takayanagi formula corrected by the quantum defect theory. This is interesting when the AdS bulk contains a defect brane (or string). We introduce a defect extremal surface formula for reflected entropy, which is a mixed state generalization of entanglement entropy measure. Based on a decomposition procedure of an AdS bulk with a brane, we demonstrate the equivalence between defect extremal surface formula and island formula for reflected entropy in AdS3/BCFT2. We also compute the evolution of reflected entropy in evaporating black hole model and find that defect extremal surface formula agrees with island formula.

scholarly journals Islands and Page curves for evaporating black holes in JT gravity

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Timothy J. Hollowood ◽  
S. Prem Kumar
Keyword(s):  
Black Hole ◽  
Thermal Equilibrium ◽  
Evaporation Rate ◽  
Analytical Description ◽  
Extremal Black Hole ◽  
Thermal Bath ◽  
Slow Evaporation ◽  
Extremal Surface ◽  
Relaxational Process ◽  
Entanglement Structure

Abstract The effect of a CFT shockwave on the entanglement structure of an eternal black hole in Jackiw-Teitelboim gravity, that is in thermal equilibrium with a thermal bath, is considered. The shockwave carries energy and entropy into the black hole and heats the black hole up leading to evaporation and the eventual recovery of equilibrium. We find an analytical description of the entire relaxational process within the semiclassical high temperature regime. If the shockwave is inserted around the Page time then several scenarios are possible depending on the parameters. The Page time can be delayed or hastened and there can be more than one transition. The final entropy saddle has a quantum extremal surface that generically starts inside the horizon but at some later time moves outside. In general, increased shockwave energy and slow evaporation rate favour the extremal surface to be inside the horizon. The shockwave also disrupts the scrambling properties of the black hole. The same analysis is then applied to a shockwave inserted into the extremal black hole with similar conclusions.

scholarly journals Reflected entropy for an evaporating black hole

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Tianyi Li ◽  
Jinwei Chu ◽  
Yang Zhou
Keyword(s):  
Black Hole ◽  
Cross Section ◽  
Early Time ◽  
Three Dimensions ◽  
Late Time ◽  
Mixed States ◽  
Correlation Measure ◽  
Extremal Surface ◽  
Brane Model ◽  
The Right

Abstract We study reflected entropy as a mixed state correlation measure in black hole evaporation. As a measure for bipartite mixed states, reflected entropy can be computed between black hole and radiation, radiation and radiation, and even black hole and black hole. We compute reflected entropy curves in three different models: 3-side wormhole model, End-of-the-World (EOW) brane model in three dimensions and two-dimensional eternal black hole plus CFT model. For 3-side wormhole model, we find that reflected entropy is dual to island cross section. The reflected entropy between radiation and black hole increases at early time and then decreases to zero, similar to Page curve, but with a later transition time. The reflected entropy between radiation and radiation first increases and then saturates. For the EOW brane model, similar behaviors of reflected entropy are found.We propose a quantum extremal surface for reflected entropy, which we call quantum extremal cross section. In the eternal black hole plus CFT model, we find a generalized formula for reflected entropy with island cross section as its area term by considering the right half as the canonical purification of the left. Interestingly, the reflected entropy curve between the left black hole and the left radiation is nothing but the Page curve. We also find that reflected entropy between the left black hole and the right black hole decreases and goes to zero at late time. The reflected entropy between radiation and radiation increases at early time and saturates at late time.

Geometrical and distributed surface barriers in Bi2Sr2CaCu2O8

1997 ◽  
Vol 291 (1-2) ◽  
pp. 113-131 ◽  
Author(s):  
N. Morozov ◽  
E. Zeldov ◽  
M. Konczykowski ◽  
R.A. Doyle
Keyword(s):  
Surface Barriers
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