Built on

K. Osterwalder and R. Schrader, “Axioms For Euclidean Green’s Functions,” Commun. Math. Phys. 31
1975
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
H. J. Matschull and M. Welling, “Quantum mechanics of a point particle in (2+1)-dimensional gravity,” Class. Quant. Grav. 15
1998
Earlier work this paper cites.
H. J. Matschull, “Black hole creation in (2+1)-dimensions,” Class. Quant. Grav. 16
1999
Earlier work this paper cites.
E. Keski-Vakkuri, “Bulk and boundary dynamics in BTZ black holes,” Phys. Rev. D 59
1999
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, “Large N field theories, string theory and gravity,” Phys. Rept. 323
2000
Earlier work this paper cites.
V. Balasubramanian and S. F. Ross, “Holographic particle detection,” Phys. Rev. D 61
2000
Earlier work this paper cites.
A. Jevicki and J. Thaler, “Dynamics of black hole formation in an exactly solvable model,” Phys. Rev. D 66
2002
Earlier work this paper cites.
H. Iwaniec, “Spectral methods of automorphic forms,” Vol. 53. Providence: American Mathematical Society, 2002
2002
Earlier work this paper cites.
J. M. Maldacena, “Eternal black holes in anti-de Sitter,” JHEP 0304
2003
Earlier work this paper cites.
P. Kraus, H. Ooguri and S. Shenker, “Inside the horizon with AdS / CFT,” Phys. Rev. D 67
2003
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Evolution of entanglement entropy in one-dimensional systems,” J. Stat. Mech. 0504
2005
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani and T. Takayanagi, “A Covariant holographic entanglement entropy proposal,” JHEP 0707
Original
2007
Earlier work this paper cites.
I. Y. Aref’eva, A. A. Bagrov and E. A. Guseva, “Critical Formation of Trapped Surfaces in the Collision of Non-expanding Gravitational Shock Waves in de Sitter Space-Time,” JHEP 0912
Original
2009
Earlier work this paper cites.
K. Skenderis and B. C. van Rees, “Real-time gauge/gravity duality: Prescription, Renormalization and Examples,” JHEP 0905
Original
2009
Earlier work this paper cites.
J. Abajo-Arrastia, J. Aparicio and E. Lopez, “Holographic Evolution of Entanglement Entropy,” JHEP 1011
Original
2010
Earlier work this paper cites.
A. Maloney and E. Witten, “Quantum Gravity Partition Functions in Three Dimensions,” JHEP 1002
Original
2010
Earlier work this paper cites.
V. Balasubramanian et al
Original
2011
Earlier work this paper cites.
B. Czech, J. L. Karczmarek, F. Nogueira and M. Van Raamsdonk, “The Gravity Dual of a Density Matrix,” Class. Quant. Grav. 29
Original
2012
Earlier work this paper cites.
I. Ya. Arefeva, A. A. Bagrov and E. O. Pozdeeva, “Holographic phase diagram of quark-gluon plasma formed in heavy-ions collisions,” JHEP 1205
Original
2012
Earlier work this paper cites.
V. Balasubramanian, A. Bernamonti, B. Craps, V. Keränen, E. Keski-Vakkuri, B. Müller, L. Thorlacius and J. Vanhoof, “Thermalization of the spectral function in strongly coupled two dimensional conformal field theories,” JHEP 1304
Original
2013
Earlier work this paper cites.

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2017

Thermalization after holographic bilocal quench

Aref'eva, Irina Ya., Khramtsov, Mikhail A., Tikhanovskaya, Maria D.

Understand

We study thermalization in the holographic (1+1)-dimensional CFT after simultaneous generation of two high-energy excitations in the antipodal points on the circle.

The holographic picture of such quantum quench is the creation of BTZ black hole from a collision of two massless particles.
We perform holographic computation of entanglement entropy and mutual information in the boundary theory and analyze their evolution with time.
We show that equilibration of the entanglement in the regions which contained one of the initial excitations is generally similar to that in other holographic quench models, but with some important distinctions.

Built on

K. Osterwalder and R. Schrader, “Axioms For Euclidean Green’s Functions,” Commun. Math. Phys. 31
1975
Earlier work this paper cites.
J. M. Maldacena, “The Large N limit of superconformal field theories and supergravity,” Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
H. J. Matschull and M. Welling, “Quantum mechanics of a point particle in (2+1)-dimensional gravity,” Class. Quant. Grav. 15
1998
Earlier work this paper cites.
H. J. Matschull, “Black hole creation in (2+1)-dimensions,” Class. Quant. Grav. 16
1999
Earlier work this paper cites.
E. Keski-Vakkuri, “Bulk and boundary dynamics in BTZ black holes,” Phys. Rev. D 59
1999
Earlier work this paper cites.
O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, “Large N field theories, string theory and gravity,” Phys. Rept. 323
2000
Earlier work this paper cites.
V. Balasubramanian and S. F. Ross, “Holographic particle detection,” Phys. Rev. D 61
2000
Earlier work this paper cites.
A. Jevicki and J. Thaler, “Dynamics of black hole formation in an exactly solvable model,” Phys. Rev. D 66
2002
Earlier work this paper cites.
H. Iwaniec, “Spectral methods of automorphic forms,” Vol. 53. Providence: American Mathematical Society, 2002
2002
Earlier work this paper cites.
J. M. Maldacena, “Eternal black holes in anti-de Sitter,” JHEP 0304
2003
Earlier work this paper cites.
P. Kraus, H. Ooguri and S. Shenker, “Inside the horizon with AdS / CFT,” Phys. Rev. D 67
2003
Earlier work this paper cites.
P. Calabrese and J. L. Cardy, “Evolution of entanglement entropy in one-dimensional systems,” J. Stat. Mech. 0504
2005
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani and T. Takayanagi, “A Covariant holographic entanglement entropy proposal,” JHEP 0707
Original
2007
Earlier work this paper cites.
I. Y. Aref’eva, A. A. Bagrov and E. A. Guseva, “Critical Formation of Trapped Surfaces in the Collision of Non-expanding Gravitational Shock Waves in de Sitter Space-Time,” JHEP 0912
Original
2009
Earlier work this paper cites.
K. Skenderis and B. C. van Rees, “Real-time gauge/gravity duality: Prescription, Renormalization and Examples,” JHEP 0905
Original
2009
Earlier work this paper cites.
J. Abajo-Arrastia, J. Aparicio and E. Lopez, “Holographic Evolution of Entanglement Entropy,” JHEP 1011
Original
2010
Earlier work this paper cites.
A. Maloney and E. Witten, “Quantum Gravity Partition Functions in Three Dimensions,” JHEP 1002
Original
2010
Earlier work this paper cites.
V. Balasubramanian et al
Original
2011
Earlier work this paper cites.
B. Czech, J. L. Karczmarek, F. Nogueira and M. Van Raamsdonk, “The Gravity Dual of a Density Matrix,” Class. Quant. Grav. 29
Original
2012
Earlier work this paper cites.
I. Ya. Arefeva, A. A. Bagrov and E. O. Pozdeeva, “Holographic phase diagram of quark-gluon plasma formed in heavy-ions collisions,” JHEP 1205
Original
2012
Earlier work this paper cites.
V. Balasubramanian, A. Bernamonti, B. Craps, V. Keränen, E. Keski-Vakkuri, B. Müller, L. Thorlacius and J. Vanhoof, “Thermalization of the spectral function in strongly coupled two dimensional conformal field theories,” JHEP 1304
Original
2013
Earlier work this paper cites.