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2018

Falling Toward Charged Black Holes

Brown, Adam R., Gharibyan, Hrant, Streicher, Alexandre et al.

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The growth of the "size" of operators is an important diagnostic of quantum chaos.

In arXiv:1802.01198 [hep-th] it was conjectured that the holographic dual of the size is proportional to the average radial component of the momentum of the particle created by the operator.
Thus the growth of operators in the background of a black hole corresponds to the acceleration of the particle as it falls toward the horizon.
In this note we will use the momentum-size correspondence as a tool to study scrambling in the field of a near-extremal charged black hole.

Falling Toward Charged Black Holes · Around

Built on

L. Susskind and J. Lindesay, “An introduction to black holes, information and the string theory revolution: The holographic universe,” Chapter 2, World Scientific (2005)
2005
Earlier work this paper cites.
S. Leichenauer, “Disrupting Entanglement of Black Holes,” Phys. Rev. D 90
Original
2014
Earlier work this paper cites.

Similar

S. H. Shenker and D. Stanford, “Black holes and the butterfly effect,” JHEP 1403
Original
2015
Cited alongside, same era.
A. R. Brown, D. A. Roberts, L. Susskind, B. Swingle and Y. Zhao, “Holographic Complexity Equals Bulk Action?,” Phys. Rev. Lett. 116
Original
2016
Cited alongside, same era.
L. Susskind, “Why do Things Fall?,” arXiv:1802.01198 [hep-th]
Original
Cited in the paper.
L. Susskind and E. Witten, “The Holographic bound in anti-de Sitter space,” hep-th/9805114
Cited in the paper.
D. A. Roberts, D. Stanford and A. Streicher, “Operator growth in the SYK model,” arXiv:1802.02633 [hep-th]
Original
Cited in the paper.
Alex Streicher and Xiaoliang Qi, to appear
Cited in the paper.
L. Susskind, “Dear Qubitzers, GR=QM,” arXiv:1708.03040 [hep-th]
Original
Cited in the paper.

Then

J. Maldacena, S. H. Shenker and D. Stanford, “A bound on chaos,” JHEP 1608
Original
2016
Later among the works it cites.
J. Maldacena and D. Stanford, “Remarks on the Sachdev-Ye-Kitaev model,” Phys. Rev. D 94
Original
2016
Later among the works it cites.

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