Scrambling time from local perturbations of the eternal BTZ black hole - INSPIRE

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Scrambling time from local perturbations of the eternal BTZ black hole

Paweł Caputa
(
- Kyoto U., Yukawa Inst., Kyoto and
- Nordita and
- Royal Inst. Tech., Stockholm and
- Stockholm U.
)
,
Joan Simón
(
- Edinburgh U., Sch. Math.
)
,
Andrius Štikonas
(
- Edinburgh U., Sch. Math.
)
,
Tadashi Takayanagi
(
- Kyoto U., Yukawa Inst., Kyoto and
- Tokyo U., IPMU
)
,
Kento Watanabe
(
- Kyoto U., Yukawa Inst., Kyoto
)

Mar 27, 2015

37 pages

Published in:

JHEP 08 (2015) 011

Published: Aug 4, 2015

e-Print:

1503.08161 [hep-th]

DOI:

10.1007/JHEP08(2015)011

Report number:

NORDITA-2015-32,
YITP-15-21,
IPMU15-0033

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Abstract: (Springer)

We compute the mutual information between finite intervals in two non-compact 2d CFTs in the thermofield double formulation after one of them has been locally perturbed by a primary operator at some time t

_{ω}

in the large c limit. We determine the time scale, called the scrambling time, at which the mutual information vanishes and the original entanglement between the thermofield double gets destroyed by the perturbation. We provide a holographic description in terms of a free falling particle in the eternal BTZ black hole that exactly matches our CFT calculations. Our results hold for any time t

_{ω}

. In particular, when the latter is large, they reproduce the bulk shock-wave propagation along the BTZ horizon description.

Note:

37 pages, 5 figures

AdS-CFT Correspondence
Conformal Field Models in String Theory
Black Holes
Holography and condensed matter physics (AdS/CMT)
black hole: BTZ
field theory: finite temperature
field theory: conformal
shock waves: propagation
operator: primary
perturbation

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Figures(5)

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