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Probing Hawking radiation through capacity of entanglement

Feb 4, 2021

28 pages

Published in:

JHEP 05 (2021) 062

Published: May 10, 2021

e-Print:

2102.02425 [hep-th]

DOI:

10.1007/JHEP05(2021)062

Report number:

YITP-21-08

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Abstract: (arXiv)

We consider the capacity of entanglement in models related with the gravitational phase transitions. The capacity is labeled by the replica parameter which plays a similar role to the inverse temperature in thermodynamics. In the end of the world brane model of a radiating black hole the capacity has a peak around the Page time indicating the phase transition between replica wormhole geometries of different types of topology. Similarly, in a moving mirror model describing Hawking radiation the capacity typically shows a discontinuity when the dominant saddle switches between two phases, which can be seen as a formation of island regions. In either case we find the capacity can be an invaluable diagnostic for a black hole evaporation process.

Note:

28 pages, 12 figures; v2: typos corrected, references added; v3: typos corrected, references added, published version

2D Gravity
Black Holes
radiation: Hawking
mirror: model
critical phenomena: gravitation
black hole: evaporation
entropy: entanglement
membrane model
wormhole
field theory: conformal

References(112)

Figures(10)

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