Chaos and fast scrambling delays of a dyonic Kerr-Sen-<math display="inline"><mrow><msub><mrow><mi>AdS</mi></mrow><mn>4</mn></msub></mrow></math> black hole and its ultraspinning version

Prihadi, Hadyan Luthfan; Zen, Freddy Permana; Dwiputra, Donny; Ariwahjoedi, Seramika

doi:10.1103/PhysRevD.107.124053

Chaos and fast scrambling delays of a dyonic Kerr-Sen- ${AdS}_{4}$ black hole and its ultraspinning version

Apr 18, 2023

19 pages

Published in:

Phys.Rev.D 107 (2023) 12, 124053

Published: Jun 15, 2023

e-Print:

2304.08751 [hep-th]

DOI:

10.1103/PhysRevD.107.124053 (publication)

View in:

ADS Abstract Service

pdf

reference search8 citations

Citations per year

Abstract: (APS)

The scrambling time and its delay are calculated using holography in an asymptotically AdS black hole solution of the gauged Einstein-Maxwell dilaton-axion (EMDA) theory, the dyonic Kerr-Sen-

{AdS}_{4}

black hole, perturbed by rotating and charged shock waves along the equator. The leading term of the scrambling time for a black hole with large entropy is logarithmic in the entropy and hence supports the fast scrambling conjecture for this black hole solution, which implies that the system under consideration is chaotic. We also find that the instantaneous minimal Lyapunov index is bounded by

κ = 2 π T_{H} / (1 - μ L)

, which is analogous to the surface gravity but for the rotating shock waves, and becomes closer to equality for the near extremal black hole. For a small value of the AdS scale, we found that the Lyapunov exponent can exceed the bound for a large value of

L

. Due to the presence of the electric and magnetic charge of the shock waves, we also show that the scrambling process of this holographic system is delayed by a time scale that depends on the charges of the shock waves. The calculations also hold for the ultraspinning version of this black hole. The result of this paper generalizes the holographic calculations of chaotic systems which are described by an EMDA theory in the bulk.

Note:

19 pages

gravitation: surface
charge: magnetic
black hole: anti-de Sitter
shock waves
holography
chaos
entropy
rotation
dyon
Lyapunov exponent

References(54)

Figures(14)

[1]

Loop Space Representation of Quantum General Relativity

Carlo Rovelli
(
- INFN, Rome and
- Trento U.
)
,
Lee Smolin
(
- Yale U. and
- Syracuse U. and
- Trento U.
)

- Nucl.Phys.B 331 (1990) 80-152
•
DOI:
- 10.1016/0550-3213(90)90019-A

[2]

How many quanta are there in a quantum spacetime?

Seramika Ariwahjoedi
(
- Marseille, CPT and
- Bandung Inst. Tech.
)
,
Jusak Sali Kosasih
(
- Bandung Inst. Tech.
)
,
Carlo Rovelli
(
- Marseille, CPT and
- Toulon U.
)
,
Freddy P. Zen
(
- Bandung Inst. Tech.
)

- Class.Quant.Grav. 32 (2015) 16, 165019
•
e-Print:
- 1404.1750
•
DOI:
- 10.1088/0264-9381/32/16/165019

[3]

Black holes and the butterfly effect

Stephen H. Shenker
(
)
,
Douglas Stanford
(
)

- JHEP 03 (2014) 067
•
e-Print:
- 1306.0622
•
DOI:
- 10.1007/JHEP03(2014)067

[4]

Disrupting Entanglement of Black Holes

Stefan Leichenauer
(
- Caltech
)

- Phys.Rev.D 90 (2014) 4, 046009
•
e-Print:
- 1405.7365
•
DOI:
- 10.1103/PhysRevD.90.046009

[5]

Fast scrambling due to rotating shockwaves in BTZ

Vinay Malvimat
(
- Saha Inst.
)
,
Rohan R. Poojary
(
- Vienna, Tech. U.
)

- Phys.Rev.D 105 (2022) 12, 126019
•
e-Print:
- 2112.14089
•
DOI:
- 10.1103/PhysRevD.105.126019

[6]

Fast scrambling of mutual information in Kerr- ${AdS}_{4}$ spacetime

Vinay Malvimat
(
- HBNI, Mumbai and
- Saha Inst.
)
,
Rohan R. Poojary
(
- Vienna, Tech. U.
)

- Phys.Rev.D 107 (2023) 2, 026019
•
e-Print:
- 2207.13022
•
DOI:
- 10.1103/PhysRevD.107.026019

[7]

Fast scrambling of mutual information in Kerr-AdS $_{5}$

Vinay Malvimat
(
- HBNI, Mumbai
)
,
Rohan R. Poojary
(
- Vienna, Tech. U.
)

- JHEP 03 (2023) 099
•
e-Print:
- 2210.02950
•
DOI:
- 10.1007/JHEP03(2023)099

[8]

Bouncing inside the horizon and scrambling delays

Gary T. Horowitz
(
- UC, Santa Barbara
)
,
Henry Leung
(
- UC, Santa Barbara
)
,
Leonel Queimada
(
- UC, Santa Barbara
)
,
Ying Zhao
(
- Santa Barbara, KITP
)

- JHEP 11 (2022) 025
•
e-Print:
- 2207.10679
•
DOI:
- 10.1007/JHEP11(2022)025

[9]

Remarks on the Sachdev-Ye-Kitaev model

- Phys.Rev.D 94 (2016) 10, 106002
•
e-Print:
- 1604.07818
•
DOI:
- 10.1103/PhysRevD.94.106002

[10]

Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space

- PTEP 2016 (2016) 12, 12C104
•
e-Print:
- 1606.01857
•
DOI:
- 10.1093/ptep/ptw124

[11]

Traversable wormhole dynamics on a quantum processor

Daniel Jafferis
(
- Harvard U.
)
,
Alexander Zlokapa
(
- MIT, Cambridge, CTP and
- Caltech and
- Google Inc.
)
,
Joseph D. Lykken
(
- Fermilab
)
,
David K. Kolchmeyer
(
- Harvard U.
)
,
Samantha I. Davis
(
- Caltech
)

et al.

- Nature 612 (2022) 7938, 51-55
•
DOI:
- 10.1038/s41586-022-05424-3

[12]

Comment on "Traversable wormhole dynamics on a quantum processor"

Bryce Kobrin
(
- UC, Berkeley
)
,
Thomas Schuster
(
- UC, Berkeley
)
,
Norman Y. Yao
(
- UC, Berkeley and
- Harvard U., Phys. Dept.
)

e-Print:
- 2302.07897

[13]

Quantum Gravity in the Lab. II. Teleportation by Size and Traversable Wormholes

et al.

- PRX Quantum 4 (2023) 1, 010321
•
e-Print:
- 2102.01064
•
DOI:
- 10.1103/PRXQuantum.4.010321

[14]

Fast Scramblers

- JHEP 10 (2008) 065
•
e-Print:
- 0808.2096
•
DOI:
- 10.1088/1126-6708/2008/10/065

[15]

Black holes as mirrors: Quantum information in random subsystems

Patrick Hayden
(
- McGill U.
)
,
John Preskill
(
- Caltech, IQI
)

- JHEP 09 (2007) 120
•
e-Print:
- 0708.4025
•
DOI:
- 10.1088/1126-6708/2007/09/120

[16]

Addendum to Fast Scramblers

Leonard Susskind
(
- Stanford U., ITP and
- Stanford U., Phys. Dept.
)

e-Print:
- 1101.6048

[17]

Towards the Fast Scrambling Conjecture

Nima Lashkari
(
- McGill U.
)
,
Douglas Stanford
(
- Stanford U., ITP and
- Stanford U., Phys. Dept.
)
,
Matthew Hastings
(
- Duke U. and
- Station Q, UCSB
)
,
Tobias Osborne
(
- Leibniz U., Hannover and
- Hannover U.
)
,
Patrick Hayden
(
- McGill U. and
- Perimeter Inst. Theor. Phys.
)

- JHEP 04 (2013) 022
•
e-Print:
- 1111.6580
•
DOI:
- 10.1007/JHEP04(2013)022

[18]

Area Laws in Quantum Systems: Mutual Information and Correlations

- Phys.Rev.Lett. 100 (2008) 7, 070502
•
e-Print:
- 0704.3906
•
DOI:
- 10.1103/PhysRevLett.100.070502

[19]

The Large N limit of superconformal field theories and supergravity

Juan Martin Maldacena
(
- Harvard U.
)

- Int.J.Theor.Phys. 38 (1999) 1113-1133 (reprint),
- Adv.Theor.Math.Phys. 2 (1998) 231-252
•
e-Print:
- hep-th/9711200
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a1