Double Local Quenches in 2D CFTs and Gravitational Force - INSPIRE

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Double Local Quenches in 2D CFTs and Gravitational Force

Pawel Caputa
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Tokiro Numasawa
(
- McGill U. and
- Osaka U.
)
,
Teppei Shimaji
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Tadashi Takayanagi
(
- Kyoto U., Yukawa Inst., Kyoto and
- Tokyo U., IPMU
)
,
Zixia Wei
(
- Kyoto U., Yukawa Inst., Kyoto
)

May 20, 2019

80 pages

Published in:

JHEP 09 (2019) 018

Published: Sep 3, 2019

e-Print:

1905.08265 [hep-th]

DOI:

10.1007/JHEP09(2019)018

Report number:

YITP-19-41,
IPMU19-0077

View in:

reference search48 citations

Citations per year

Abstract: (Springer)

In this work we extensively study the dynamics of excited states created by instantaneous local quenches at two different points, i.e. double local quenches. We focus on setups in two dimensional holographic and free Dirac fermion CFTs. We calculate the energy stress tensor and entanglement entropy for double joining and splitting local quenches. In the splitting local quenches we find an interesting oscillating behaviors. Finally, we study the energy stress tensor in double operator local quenches. In all these examples, we find that, in general, there are non-trivial interactions between the two local quenches. Especially, in holographic CFTs, the differences of the above quantities between the double local quench and the simple sum of two local quenches tend to be negative. We interpret this behavior as merely due to gravitational force in their gravity duals.

Note:

80pages, 50figures; v2: minor corrections, v3: explanations added in section 7, minor corrections

AdS-CFT Correspondence
Conformal Field Theory
Holography and condensed matter physics (AdS/CMT)
field theory: conformal
tensor: energy-momentum
operator: local
force: gravitation
dimension: 2
entropy: entanglement
gravitation: duality

References(97)

Figures(117)

[1]

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

[2]

Gauge theory correlators from noncritical string theory

S.S. Gubser
(
- Princeton U.
)
,
Igor R. Klebanov
(
- Princeton U.
)
,
Alexander M. Polyakov
(
- Princeton U.
)

- Phys.Lett.B 428 (1998) 105-114
•
e-Print:
- hep-th/9802109
•
DOI:
- 10.1016/S0370-2693(98)00377-3

[3]

Anti de Sitter space and holography

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- Adv.Theor.Math.Phys. 2 (1998) 253-291
•
e-Print:
- hep-th/9802150
•
DOI:
- 10.4310/ATMP.1998.v2.n2.a2

[4]

A Quantum Source of Entropy for Black Holes

- Phys.Rev.D 34 (1986) 373-383
•
DOI:
- 10.1103/PhysRevD.34.373

[5]

Entropy and area

Mark Srednicki
(
- UC, Berkeley, CfPA and
- LBL, Berkeley
)

- Phys.Rev.Lett. 71 (1993) 666-669
•
e-Print:
- hep-th/9303048
•
DOI:
- 10.1103/PhysRevLett.71.666

[6]

Geometric and renormalized entropy in conformal field theory

Christoph Holzhey
(
- Princeton U.
)
,
Finn Larsen
(
- Princeton U.
)
,
Frank Wilczek
(
- Princeton, Inst. Advanced Study
)

- Nucl.Phys.B 424 (1994) 443-467
•
e-Print:
- hep-th/9403108
•
DOI:
- 10.1016/0550-3213(94)90402-2

[7]

Entanglement entropy and quantum field theory

Pasquale Calabrese
(
- Oxford U., Theor. Phys.
)
,
John L. Cardy
(
- Oxford U., Theor. Phys. and
- Oxford U.
)

- J.Stat.Mech. 0406 (2004) P06002
•
e-Print:
- hep-th/0405152
•
DOI:
- 10.1088/1742-5468/2004/06/P06002

[8]

Entanglement entropy and conformal field theory

Pasquale Calabrese
(
- Pisa U. and
- INFN, Pisa
)
,
John Cardy
(
- Oxford U., Theor. Phys.
)

- J.Phys.A 42 (2009) 504005
•
e-Print:
- 0905.4013
•
DOI:
- 10.1088/1751-8113/42/50/504005

[9]

Entanglement and alpha entropies for a massive Dirac field in two dimensions

H. Casini
(
- Centro Atomico Bariloche
)
,
C.D. Fosco
(
- Centro Atomico Bariloche
)
,
M. Huerta
(
- Centro Atomico Bariloche
)

- J.Stat.Mech. 0507 (2005) P07007
•
e-Print:
- cond-mat/0505563
•
DOI:
- 10.1088/1742-5468/2005/07/P07007

[10]

Entanglement entropy in free quantum field theory

- J.Phys.A 42 (2009) 504007
•
e-Print:
- 0905.2562
•
DOI:
- 10.1088/1751-8113/42/50/504007

[11]

Holographic derivation of entanglement entropy from AdS/CFT

- Phys.Rev.Lett. 96 (2006) 181602
•
e-Print:
- hep-th/0603001
•
DOI:
- 10.1103/PhysRevLett.96.181602

[12]

Aspects of Holographic Entanglement Entropy

Shinsei Ryu
(
- Santa Barbara, KITP
)
,
Tadashi Takayanagi
(
- Kyoto U.
)

- JHEP 08 (2006) 045
•
e-Print:
- hep-th/0605073
•
DOI:
- 10.1088/1126-6708/2006/08/045

[13]

A Covariant holographic entanglement entropy proposal

Veronika E. Hubeny
(
- Durham U. and
- Durham U., Dept. of Math.
)
,
Mukund Rangamani
(
- Durham U. and
- Durham U., Dept. of Math.
)
,
Tadashi Takayanagi
(
- Kyoto U.
)

- JHEP 07 (2007) 062
•
e-Print:
- 0705.0016
•
DOI:
- 10.1088/1126-6708/2007/07/062

[14]

Holographic Entanglement Entropy: An Overview

Tatsuma Nishioka
(
- Kyoto U. and
- Tokyo U., IPMU
)
,
Shinsei Ryu
(
- UC, Berkeley
)
,
Tadashi Takayanagi
(
- Tokyo U., IPMU
)

- J.Phys.A 42 (2009) 504008
•
e-Print:
- 0905.0932
•
DOI:
- 10.1088/1751-8113/42/50/504008

[15]

Holographic Entanglement Entropy

- Lect.Notes Phys. 931 (2017) pp.1-246
•
e-Print:
- 1609.01287
•
DOI:
- 10.1007/978-3-319-52573-0

[16]

Lectures on gravity and entanglement.

Mark Van Raamsdonk
(
- British Columbia U.
)

- ,
•
e-Print:
- 1609.00026
•
DOI:
- 10.1142/9789813149441_0005

[17]

Entanglement entropy: holography and renormalization group

Tatsuma Nishioka
(
- Tokyo U.
)

- Rev.Mod.Phys. 90 (2018) 3, 035007
•
e-Print:
- 1801.10352
•
DOI:
- 10.1103/RevModPhys.90.035007

[18]

Nonlinear Gravity from Entanglement in Conformal Field Theories

Thomas Faulkner
(
- Illinois U., Urbana
)
,
Felix M. Haehl
(
- British Columbia U.
)
,
Eliot Hijano
(
- British Columbia U.
)
,
Onkar Parrikar
(
- Pennsylvania U.
)
,
Charles Rabideau
(
)

et al.

- JHEP 08 (2017) 057
•
e-Print:
- 1705.03026
•
DOI:
- 10.1007/JHEP08(2017)057

[19]

Modular Hamiltonians of excited states, OPE blocks and emergent bulk fields

Gábor Sárosi
(
)
,
Tomonori Ugajin
(
- Santa Barbara, KITP
)

- JHEP 01 (2018) 012
•
e-Print:
- 1705.01486
•
DOI:
- 10.1007/JHEP01(2018)012

[20]

Gravitational dynamics from entanglement 'thermodynamics'

- JHEP 04 (2014) 195
•
e-Print:
- 1308.3716
•
DOI:
- 10.1007/JHEP04(2014)195

[21]

Gravitation from Entanglement in Holographic CFTs

- JHEP 03 (2014) 051
•
e-Print:
- 1312.7856
•
DOI:
- 10.1007/JHEP03(2014)051

[22]

Canonical Energy is Quantum Fisher Information

Nima Lashkari
(
- MIT, Cambridge, CTP and
- British Columbia U.
)
,
Mark Van Raamsdonk
(
- British Columbia U.
)

- JHEP 04 (2016) 153
•
e-Print:
- 1508.00897
•
DOI:
- 10.1007/JHEP04(2016)153

[23]

Dynamics of Entanglement Entropy from Einstein Equation

- Phys.Rev.D 88 (2013) 2, 026012
•
e-Print:
- 1304.7100
•
DOI:
- 10.1103/PhysRevD.88.026012

[24]

Entropic Counterpart of Perturbative Einstein Equation

- JHEP 10 (2013) 219
•
e-Print:
- 1308.3792
•
DOI:
- 10.1007/JHEP10(2013)219

[25]

Entanglement and correlation functions following a local quench: a conformal field theory approach

- J.Stat.Mech. 0710 (2007) 10, P10004
•
e-Print:
- 0708.3750
•
DOI:
- 10.1088/1742-5468/2007/10/P10004

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