SYK wormhole formation in real time - INSPIRE

DataBETA

SYK wormhole formation in real time

Dec 6, 2019

33 pages

Published in:

JHEP 04 (2021) 258

Published: Apr 27, 2021

e-Print:

1912.03276 [hep-th]

DOI:

10.1007/JHEP04(2021)258

View in:

reference search66 citations

Citations per year

Abstract: (arXiv)

We study the real time formation of the ground state of two coupled SYK models. This is a highly entangled state which is close to the thermofield double state and can be viewed as a wormhole. We start from a high temperature state, we let it cool by coupling to a cold bath. We numerically solve for the large N dynamics. Our main result is that the system forms a wormhole by going through a region with negative specific heat, taking time that is independent of N. The dynamics is smooth everywhere and it seems to follow the equilibrium thermodynamic configurations of the microcanonical ensemble. Also we comment on the relation between this coupled SYK model and Jackiw-Teitelboim gravity theory with bulk fields.

Note:

v1: 23 pages + appendices, 14 figures. v2: typos fixed, references added

1/N Expansion
2D Gravity
Field Theories in Lower Dimensions
Models of Quantum Gravity
wormhole: formation
Sachdev-Ye-Kitaev
temperature: high
field theory: finite temperature
expansion 1/N
entanglement

References(26)

Figures(16)

[1]

Gapless spin fluid ground state in a random, quantum Heisenberg magnet

Subir Sachdev
(
- Yale U.
)
,
Jinwu Ye
(
- Yale U.
)

- Phys.Rev.Lett. 70 (1993) 3339
•
e-Print:
- cond-mat/9212030
•
DOI:
- 10.1103/PhysRevLett.70.3339

[2]

A simple model of quantum holography (part 1), talk at KITP, April 7

A. Kitaev

[3]

A simple model of quantum holography (part 2), talk at KITP, May 27

A. Kitaev

[4]

Remarks on the Sachdev-Ye-Kitaev model

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

[5]

The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual

- JHEP 05 (2018) 183
•
e-Print:
- 1711.08467
•
DOI:
- 10.1007/JHEP05(2018)183

[6]

Lower Dimensional Gravity

R. Jackiw
(
- MIT, LNS
)

- Nucl.Phys.B 252 (1985) 343-356,
- Bielefeld Symp.Phase Tr.1984:343,
- Bielefeld Symp.Phase Tr.1984:343
•
DOI:
- 10.1016/0550-3213(85)90448-1

[7]

Gravitation and Hamiltonian Structure in Two Space-Time Dimensions

C. Teitelboim
(
- Texas U.
)

- Phys.Lett.B 126 (1983) 41-45
•
DOI:
- 10.1016/0370-2693(83)90012-6

[8]

Models of AdS $_{2}$ backreaction and holography

Ahmed Almheiri
(
- UC, Santa Barbara and
- Stanford U.
)
,
Joseph Polchinski
(
- Santa Barbara, KITP
)

- JHEP 11 (2015) 014
•
e-Print:
- 1402.6334
•
DOI:
- 10.1007/JHEP11(2015)014

Eternal traversable wormhole

e-Print:
- 1804.00491

[10]

Quantum chaos transition in a two-site Sachdev-Ye-Kitaev model dual to an eternal traversable wormhole

- Phys.Rev.D 100 (2019) 2, 026002
•
e-Print:
- 1901.06031
•
DOI:
- 10.1103/PhysRevD.100.026002

Symmetry Breaking in Coupled SYK or Tensor Models

Jaewon Kim
(
- UC, Berkeley
)
,
Igor R. Klebanov
(
- Princeton U. and
- Princeton U., CTP
)
,
Grigory Tarnopolsky
(
- Harvard U.
)
,
Wenli Zhao
(
- Princeton U.
)

- Phys.Rev.X 9 (2019) 2, 021043
•
e-Print:
- 1902.02287
•
DOI:
- 10.1103/PhysRevX.9.021043

A traversable wormhole teleportation protocol in the SYK model

Ping Gao
(
- MIT, Cambridge, CTP
)
,
Daniel Louis Jafferis
(
- Harvard U.
)

- JHEP 07 (2021) 097
•
e-Print:
- 1911.07416
•
DOI:
- 10.1007/JHEP07(2021)097

Traversable wormholes in four dimensions

Juan Maldacena
(
- Princeton, Inst. Advanced Study
)
,
Alexey Milekhin
(
- Princeton U.
)
,
Fedor Popov
(
- Princeton U.
)

- Class.Quant.Grav. 40 (2023) 15, 155016
•
e-Print:
- 1807.04726
•
DOI:
- 10.1088/1361-6382/acde30

[14]

Traversable Wormholes via a Double Trace Deformation

Ping Gao
(
- Harvard U.
)
,
Daniel Louis Jafferis
(
- Harvard U.
)
,
Aron C. Wall
(
- Princeton, Inst. Advanced Study
)

- JHEP 12 (2017) 151
•
e-Print:
- 1608.05687
•
DOI:
- 10.1007/JHEP12(2017)151

Universal constraints on energy flow and SYK thermalization

Ahmed Almheiri
(
- Princeton, Inst. Advanced Study
)
,
Alexey Milekhin
(
- Princeton U.
)
,
Brian Swingle
(
- Maryland U. and
- Joint Quantum Inst., College Park
)

- JHEP 08 (2024) 034
•
e-Print:
- 1912.04912
•
DOI:
- 10.1007/JHEP08(2024)034

[16]

Quantum quench of the Sachdev-Ye-Kitaev Model

- Phys.Rev.B 96 (2017) 20, 205123
•
e-Print:
- 1706.07803
•
DOI:
- 10.1103/PhysRevB.96.205123

[17]

Quantum Quenches and Thermalization in SYK models

- JHEP 07 (2019) 066
•
e-Print:
- 1811.06006
•
DOI:
- 10.1007/JHEP07(2019)066

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

[19]

Chaos in AdS $_2$ Holography

Kristan Jensen
(
- San Francisco State U.
)

- Phys.Rev.Lett. 117 (2016) 11, 111601
•
e-Print:
- 1605.06098
•
DOI:
- 10.1103/PhysRevLett.117.111601

[20]

An investigation of AdS $_{2}$ backreaction and holography

Julius Engelsöy
(
- Royal Inst. Tech., Stockholm and
- Princeton U.
)
,
Thomas G. Mertens
(
- Princeton U.
)
,
Herman Verlinde
(
- Princeton U.
)

- JHEP 07 (2016) 139
•
e-Print:
- 1606.03438
•
DOI:
- 10.1007/JHEP07(2016)139

[21]

AdS / CFT correspondence and symmetry breaking

- Nucl.Phys.B 556 (1999) 89-114
•
e-Print:
- hep-th/9905104
•
DOI:
- 10.1016/S0550-3213(99)00387-9

[22]

Notes on the complex Sachdev-Ye-Kitaev model

Yingfei Gu
(
- Harvard U.
)
,
Alexei Kitaev
(
- Caltech and
- Princeton, Inst. Advanced Study
)
,
Subir Sachdev
(
- Harvard U.
)
,
Grigory Tarnopolsky
(
- Harvard U.
)

- JHEP 02 (2020) 157
•
e-Print:
- 1910.14099
•
DOI:
- 10.1007/JHEP02(2020)157

[23]

Field theory of non-equilibrium systems, Cambridge University Press

A. Kamenev

[24]

Nonequilibrium many-body theory of quantum systems: a modern introduction, Cambridge University Press

G. Stefanucci
,
R. Van Leeuwen

[25]

Two dimensional Nearly de Sitter gravity

- JHEP 01 (2021) 139
•
e-Print:
- 1904.01911
•
DOI:
- 10.1007/JHEP01(2021)139

1-25 of 26
1
2
25 / page