2014

Localized shocks

Roberts, Daniel A., Stanford, Douglas, Susskind, Leonard

Understand

We study products of precursors of spatially local operators, $W_{x_{n}}(t_{n}) ...

W_{x_1}(t_1)$, where $W_x(t) = e^{-iHt} W_x e^{iHt}$.
Using chaotic spin-chain numerics and gauge/gravity duality, we show that a single precursor fills a spatial region that grows linearly in $t$.
In a lattice system, products of such operators can be represented using tensor networks.

Built on

E. H. Lieb and D. W. Robinson, “The finite group velocity of quantum spin systems,” Commun. Math. Phys. 28
1972
Earlier work this paper cites.
T. Dray and G. ’t Hooft, “The Gravitational Shock Wave of a Massless Particle,” Nucl. Phys. B 253
1985
Earlier work this paper cites.
T. Dray and G. ’t Hooft, “The Effect of Spherical Shells of Matter on the Schwarzschild Black Hole,” Commun. Math. Phys. 99
1985
Earlier work this paper cites.
B. Zwiebach, “Curvature Squared Terms and String Theories,” Phys. Lett. B 156
1985
Earlier work this paper cites.
D. G. Boulware and S. Deser, “String Generated Gravity Models,” Phys. Rev. Lett. 55
1985
Earlier work this paper cites.
D. Amati, M. Ciafaloni and G. Veneziano, “Classical and Quantum Gravity Effects from Planckian Energy Superstring Collisions,” Int. J. Mod. Phys. A 3
1988
Earlier work this paper cites.
G. ’t Hooft, “The black hole interpretation of string theory,” Nucl. Phys. B 335
1990
Earlier work this paper cites.
K. Schoutens, H. L. Verlinde and E. P. Verlinde, “Quantum black hole evaporation,” Phys. Rev. D 48
1993
Earlier work this paper cites.
K. Sfetsos, “On gravitational shock waves in curved space-times,” Nucl. Phys. B 436
1995
Earlier work this paper cites.
Y. Kiem, H. L. Verlinde and E. P. Verlinde, “Black hole horizons and complementarity,” Phys. Rev. D 52
1995
Earlier work this paper cites.
V. Balasubramanian, P. Kraus, A. E. Lawrence and S. P. Trivedi, “Holographic probes of anti-de Sitter space-times,” Phys. Rev. D 59
1999
Earlier work this paper cites.
G. T. Horowitz and N. Itzhaki, “Black holes, shock waves, and causality in the AdS / CFT correspondence,” JHEP 9902
1999
Earlier work this paper cites.
J. Louko, D. Marolf and S. F. Ross, “On geodesic propagators and black hole holography,” Phys. Rev. D 62
2000
Earlier work this paper cites.

Similar

I. Bena, “On the construction of local fields in the bulk of AdS(5) and other spaces,” Phys. Rev. D 62
2000
Cited alongside, same era.
R. -G. Cai, “Gauss-Bonnet black holes in AdS spaces,” Phys. Rev. D 65
2002
Cited alongside, same era.
P. Kraus, H. Ooguri and S. Shenker, “Inside the horizon with AdS / CFT,” Phys. Rev. D 67
2003
Cited alongside, same era.
J. M. Maldacena, “Eternal black holes in anti-de Sitter,” JHEP 0304
2003
Cited alongside, same era.
L. Fidkowski, V. Hubeny, M. Kleban and S. Shenker, “The Black hole singularity in AdS / CFT,” JHEP 0402
2004
Cited alongside, same era.
B. Freivogel and L. Susskind, “A Framework for the landscape,” Phys. Rev. D 70
2004
Cited alongside, same era.
M. B. Hastings and T. Koma, “Spectral gap and exponential decay of correlations,” Commun. Math. Phys. 265
2006
Cited alongside, same era.
P. Hayden and J. Preskill, “Black holes as mirrors: Quantum information in random subsystems,” JHEP 0709
Original
2007
Cited alongside, same era.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
Original
2007
Cited alongside, same era.
D. M. Hofman and J. Maldacena, “Conformal collider physics: Energy and charge correlations,” JHEP 0805
Original
2008
Cited alongside, same era.
M. Brigante, H. Liu, R. C. Myers, S. Shenker and S. Yaida, “Viscosity Bound Violation in Higher Derivative Gravity,” Phys. Rev. D 77
Original
2008
Cited alongside, same era.
M. Van Raamsdonk, “Building up spacetime with quantum entanglement,” Gen. Rel. Grav. 42
Original
2010
Cited alongside, same era.

Then

M. Bañuls, J. Cirac and M. Hastings, “Strong and Weak Thermalization of Infinite Nonintegrable Quantum Systems”, Phys. Rev. Lett. 106
Original
2011
Later among the works it cites.
S. Sachdev, Quantum Phase Transitions . Cambridge Univ. Press, 2011
2011
Later among the works it cites.
I. Heemskerk, D. Marolf, J. Polchinski and J. Sully, “Bulk and Transhorizon Measurements in AdS/CFT,” JHEP 1210
Original
2012
Later among the works it cites.
B. Swingle, “Entanglement Renormalization and Holography,” Phys. Rev. D 86
Original
2012
Later among the works it cites.
T. Hartman and J. Maldacena, “Time Evolution of Entanglement Entropy from Black Hole Interiors,” JHEP 1305
Original
2013
Later among the works it cites.
A. Almheiri, D. Marolf, J. Polchinski and J. Sully, “Black Holes: Complementarity or Firewalls?,” JHEP 1302
Original
2013
Later among the works it cites.
A. Almheiri, D. Marolf, J. Polchinski, D. Stanford and J. Sully, “An Apologia for Firewalls,” JHEP 1309
Original
2013
Later among the works it cites.
D. Marolf and J. Polchinski, “Gauge/Gravity Duality and the Black Hole Interior,” Phys. Rev. Lett. 111
Original
2013
Later among the works it cites.
J. Maldacena, talk given at KITP “Fuzz or Fire” conference, August 2013. Online at http://online.kitp.ucsb.edu/online/fuzzorfire-m13/maldacena/
2013
Later among the works it cites.
H. Liu and S. J. Suh, “Entanglement Tsunami: Universal Scaling in Holographic Thermalization,” Phys. Rev. Lett. 112
Original
2014
Closest in time.
S. Leichenauer, “Disrupting Entanglement of Black Holes,” Phys. Rev. D 90
Original
2014
Closest in time.
Y. Sekino and L. Susskind, “Fast Scramblers,” JHEP 0810
Original
2096
Closest in time.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…