Complexity of scalar collapse in anti-de Sitter spacetime - INSPIRE

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Complexity of scalar collapse in anti-de Sitter spacetime

Andrew R. Frey
(
- Winnipeg U.
)
,
Michael P. Grehan
(
- Winnipeg U.
)
,
Manu Srivastava
(
- Perimeter Inst. Theor. Phys.
)

Oct 18, 2021

18 pages

Published in:

JHEP 12 (2021) 135

Published: Dec 20, 2021

e-Print:

2110.09630 [hep-th]

DOI:

10.1007/JHEP12(2021)135

View in:

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Abstract: (Springer)

We calculate the volume and action forms of holographic complexity for the gravitational collapse of scalar field matter in asymptotically anti-de Sitter spacetime, using numerical methods to reproduce the geometry responding to the oscillating field over multiple crossing times. Like the scalar field pulse, the volume complexity oscillates quasiperiodically before horizon formation. It also shows a scaling symmetry with the amplitude of the scalar field. The action complexity is also quasiperiodic with spikes of increasing amplitude.

Note:

19pp; v2. added references, short discussion of Lloyd's bound for CV; v3. added discussion w/2 figs on complexity-momentum correspondence, minor clarifications; v4. typo corrections including to eqn (4.3), matches published version in content

field theory: scalar
space-time: anti-de Sitter
horizon: formation
gravitation: collapse
duality: holography
oscillation
black hole
numerical methods
AdS-CFT Correspondence
Black Holes

References(51)

Figures(18)

Computational Complexity and Black Hole Horizons

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

- Fortsch.Phys. 64 (2016) 44-48 (addendum),
- Fortsch.Phys. 64 (2016) 24-43
•
e-Print:
- 1403.5695
•
DOI:
- 10.1002/prop.201500092

[2]

Complexity and Shock Wave Geometries

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

- Phys.Rev.D 90 (2014) 12, 126007
•
e-Print:
- 1406.2678
•
DOI:
- 10.1103/PhysRevD.90.126007

[3]

Holographic Complexity Equals Bulk Action?

Adam R. Brown
(
- Stanford U., ITP and
- Stanford U., Phys. Dept.
)
,
Daniel A. Roberts
(
- MIT, Cambridge, CTP and
- MIT, LNS
)
,
Leonard Susskind
(
- Stanford U., ITP and
- Stanford U., Phys. Dept.
)
,
Brian Swingle
(
- Stanford U., ITP and
- Stanford U., Phys. Dept.
)
,
Ying Zhao
(
- Stanford U., ITP and
- Stanford U., Phys. Dept.
)

- Phys.Rev.Lett. 116 (2016) 19, 191301
•
e-Print:
- 1509.07876
•
DOI:
- 10.1103/PhysRevLett.116.191301

[4]

Complexity, action, and black holes

Adam R. Brown
(
- Stanford U., ITP and
- Stanford U., Phys. Dept.
)
,
Daniel A. Roberts
(
- MIT, Cambridge, CTP and
- MIT, Cambridge, Dept. Phys.
)
,
Leonard Susskind
(
- Stanford U., ITP and
- Stanford U., Phys. Dept.
)
,
Brian Swingle
(
- Stanford U., ITP and
- Stanford U., Phys. Dept.
)
,
Ying Zhao
(
- Stanford U., ITP and
- Stanford U., Phys. Dept.
)

- Phys.Rev.D 93 (2016) 8, 086006
•
e-Print:
- 1512.04993
•
DOI:
- 10.1103/PhysRevD.93.086006

A geometric approach to quantum circuit lower bounds

Michael A. Nielsen
(
- Queensland U.
)

- Quant.Inf.Comput. 6 (2006) 3, 213-262
•
e-Print:
- quant-ph/0502070
•
DOI:
- 10.26421/QIC6.3-2

[6]

Quantum Computation as Geometry

- Science 311 (2006) 5764, 1133-1135
•
e-Print:
- quant-ph/0603161
•
DOI:
- 10.1126/science.1121541

The geometry of quantum computation

Mark R. Dowling
(
- Queensland U.
)
,
Michael A. Nielsen
(
- Queensland U.
)

- Quant.Inf.Comput. 8 (2008) 10, 0861-0899
•
e-Print:
- quant-ph/0701004
•
DOI:
- 10.26421/QIC8.10-1

[8]

Circuit complexity in quantum field theory

- JHEP 10 (2017) 107
•
e-Print:
- 1707.08570
•
DOI:
- 10.1007/JHEP10(2017)107

[9]

Circuit Complexity in Fermionic Field Theory

- Phys.Rev.D 98 (2018) 12, 126001
•
e-Print:
- 1801.07620
•
DOI:
- 10.1103/PhysRevD.98.126001

[10]

Circuit complexity for free fermions

- JHEP 07 (2018) 139
•
e-Print:
- 1803.10638
•
DOI:
- 10.1007/JHEP07(2018)139

Switchbacks and the Bridge to Nowhere

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

e-Print:
- 1408.2823

[12]

Evolution of Complexity Following a Global Quench

Mudassir Moosa
(
- UC, Berkeley and
- LBNL, Berkeley
)

- JHEP 03 (2018) 031
•
e-Print:
- 1711.02668
•
DOI:
- 10.1007/JHEP03(2018)031

[13]

Complexity Growth with Lifshitz Scaling and Hyperscaling Violation

Mohsen Alishahiha
(
- IPM, Tehran
)
,
Amin Faraji Astaneh
(
- Arak U. and
- IPM, Tehran
)
,
M. Reza Mohammadi Mozaffar
(
- IPM, Tehran
)
,
Ali Mollabashi
(
- IPM, Tehran
)

- JHEP 07 (2018) 042
•
e-Print:
- 1802.06740
•
DOI:
- 10.1007/JHEP07(2018)042

[14]

Holographic local quench and effective complexity

Dmitry S. Ageev
(
- Nijmegen U. and
- Steklov Math. Inst., Moscow
)
,
Irina Ya. Aref'eva
(
- Steklov Math. Inst., Moscow and
- Nijmegen U.
)
,
Andrey A. Bagrov
(
- Nijmegen U. and
- Steklov Math. Inst., Moscow
)
,
Mikhail I. Katsnelson
(
- Nijmegen U. and
- Steklov Math. Inst., Moscow
)

- JHEP 08 (2018) 071
•
e-Print:
- 1803.11162
•
DOI:
- 10.1007/JHEP08(2018)071

[15]

Holographic complexity in Vaidya spacetimes. Part I

- JHEP 06 (2018) 046
•
e-Print:
- 1804.07410
•
DOI:
- 10.1007/JHEP06(2018)046

[16]

Complexity and uncomplexity during energy injection

- Phys.Rev.D 103 (2021) 12, 126024
•
e-Print:
- 2103.05023
•
DOI:
- 10.1103/PhysRevD.103.126024

[17]

On weakly turbulent instability of anti-de Sitter space

Piotr Bizon
(
- Jagiellonian U. and
- Potsdam, Max Planck Inst.
)
,
Andrzej Rostworowski
(
- Jagiellonian U.
)

- Phys.Rev.Lett. 107 (2011) 031102
•
e-Print:
- 1104.3702
•
DOI:
- 10.1103/PhysRevLett.107.031102

[18]

Rapid Thermalization in Field Theory from Gravitational Collapse

David Garfinkle
(
- Oakland U. and
- Michigan U., MCTP
)
,
Leopoldo A. Pando Zayas
(
- Michigan U., MCTP
)

- Phys.Rev.D 84 (2011) 066006
•
e-Print:
- 1106.2339
•
DOI:
- 10.1103/PhysRevD.84.066006

[19]

A Comment on AdS collapse of a scalar field in higher dimensions

Joanna Jalmuzna
(
- Jagiellonian U.
)
,
Andrzej Rostworowski
(
- Jagiellonian U.
)
,
Piotr Bizon
(
- Jagiellonian U.
)

- Phys.Rev.D 84 (2011) 085021
•
e-Print:
- 1108.4539
•
DOI:
- 10.1103/PhysRevD.84.085021

[20]

On Field Theory Thermalization from Gravitational Collapse

David Garfinkle
(
- Oakland U. and
- Michigan U., MCTP
)
,
Leopoldo A. Pando Zayas
(
- Michigan U., MCTP
)
,
Dori Reichmann
(
- Michigan U., MCTP
)

- JHEP 02 (2012) 119
•
e-Print:
- 1110.5823
•
DOI:
- 10.1007/JHEP02(2012)119

[21]

Boson stars in AdS spacetime

Alex Buchel
(
- Perimeter Inst. Theor. Phys. and
- Western Ontario U.
)
,
Steven L. Liebling
(
- Perimeter Inst. Theor. Phys. and
- Long Island U.
)
,
Luis Lehner
(
- Perimeter Inst. Theor. Phys.
)

- Phys.Rev.D 87 (2013) 12, 123006
•
e-Print:
- 1304.4166
•
DOI:
- 10.1103/PhysRevD.87.123006

A comment on "Boson stars in AdS"

e-Print:
- 1307.2875

[23]

Lecture Notes on Turbulent Instability of Anti-de Sitter Spacetime

- Int.J.Mod.Phys.A 28 (2013) 1340020
•
e-Print:
- 1308.1235
•
DOI:
- 10.1142/S0217751X13400204

[24]

Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes

Oleg Evnin
(
- Chulalongkorn U. and
- Intl. Solvay Inst., Brussels
)

- Class.Quant.Grav. 38 (2021) 20, 203001
•
e-Print:
- 2104.09797
•
DOI:
- 10.1088/1361-6382/ac1b46

Collapse of massive fields in anti-de Sitter spacetime

Hirotada Okawa
(
- Kyoto U., Yukawa Inst., Kyoto and
- Waseda U., RISE
)
,
Jorge C. Lopes
(
- Lisbon, CENTRA and
- Lisbon, IST
)
,
Vitor Cardoso
(
- Lisbon, CENTRA and
- Lisbon, IST and
- Perimeter Inst. Theor. Phys. and
- Mississippi U.
)

e-Print:
- 1504.05203

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