Fetching the paper…

Reading the bibliography…

2017

Time evolution of entanglement for holographic steady state formation

Erdmenger, Johanna, Fernandez, Daniel, Flory, Mario et al.

Original
PDF
Post on X

Understand

Within gauge/gravity duality, we consider the local quench-like time evolution obtained by joining two 1+1-dimensional heat baths at different temperatures at time t=0.

A steady state forms and expands in space.
For the 2+1-dimensional gravity dual, we find that the shockwaves expanding the steady-state region are of spacelike nature in the bulk despite being null at the boundary.
However, they do not transport information.

Time evolution of entanglement for holographic steady state formation · Around

Built on

E. H. Lieb and M. B. Ruskai, Proof of the strong subadditivity of quantum-mechanical entropy , Journal of Mathematical Physics 14
1941
Earlier work this paper cites.
W. Israel, Singular hypersurfaces and thin shells in general relativity , Il Nuovo Cimento B (1965-1970) 44
1966
Earlier work this paper cites.
H. Araki and E. H. Lieb, Entropy inequalities , Commun. Math. Phys. 18
1970
Earlier work this paper cites.
M. Banados, C. Teitelboim and J. Zanelli, The Black hole in three-dimensional space-time , Phys. Rev. Lett. 69
1992
Earlier work this paper cites.
M. Banados, M. Henneaux, C. Teitelboim and J. Zanelli, Geometry of the (2+1) black hole , Phys. Rev. D48
1993
Earlier work this paper cites.
hep-th/9901148
M. Banados, Three-dimensional quantum geometry and black holes , in Trends in theoretical physics II. Proceedings, 2nd La Plata Meeting, Buenos Aires, Argentina, November 29-December 4, 1998 , pp. 147–169, 1998 · 1998
Earlier work this paper cites.
U. H. Danielsson, E. Keski-Vakkuri and M. Kruczenski, Black hole formation in AdS and thermalization on the boundary , JHEP 02
2000
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.
N. Linden and A. Winter, A new inequality for the von neumann entropy , Communications in Mathematical Physics 259
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.
S. Ryu and T. Takayanagi, Aspects of Holographic Entanglement Entropy , JHEP 08
2006
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani and T. Takayanagi, A Covariant holographic entanglement entropy proposal , JHEP 07
Original
2007
Earlier work this paper cites.
M. Headrick and T. Takayanagi, A Holographic proof of the strong subadditivity of entanglement entropy , Phys. Rev. D76
Original
2007
Earlier work this paper cites.
D. Grumiller and P. Romatschke, On the collision of two shock waves in AdS(5) , JHEP 08
Original
2008
Earlier work this paper cites.
S. Bhattacharyya, V. E. Hubeny, R. Loganayagam, G. Mandal, S. Minwalla, T. Morita et al., Local Fluid Dynamical Entropy from Gravity , JHEP 06
Original
2008
Earlier work this paper cites.
J. Abajo-Arrastia, J. Aparicio and E. Lopez, Holographic Evolution of Entanglement Entropy , JHEP 11
Original
2010
Earlier work this paper cites.
Springer New York, 2010
S. Wagon, Mathematica® in Action: Problem Solving Through Visualization and Computation · 2010
Earlier work this paper cites.
M. Headrick, Entanglement Renyi entropies in holographic theories , Phys. Rev. D82
Original
2010
Earlier work this paper cites.
V. Balasubramanian, A. Bernamonti, J. de Boer, N. Copland, B. Craps, E. Keski-Vakkuri et al., Thermalization of Strongly Coupled Field Theories , Phys. Rev. Lett. 106
Original
2011
Earlier work this paper cites.
V. Balasubramanian, A. Bernamonti, J. de Boer, N. Copland, B. Craps, E. Keski-Vakkuri et al., Holographic Thermalization , Phys. Rev. D84
Original
2011
Earlier work this paper cites.
V. Balasubramanian, A. Bernamonti, N. Copland, B. Craps and F. Galli, Thermalization of mutual and tripartite information in strongly coupled two dimensional conformal field theories , Phys. Rev. D84
Original
2011
Earlier work this paper cites.
P. M. Chesler and L. G. Yaffe, Holography and colliding gravitational shock waves in asymptotically AdS5 spacetime , Phys. Rev. Lett. 106
Original
2011
Earlier work this paper cites.
V. Cardoso et al., NR/HEP: roadmap for the future , Class. Quant. Grav. 29
Original
2012
Earlier work this paper cites.
M. P. Heller, D. Mateos, W. van der Schee and D. Trancanelli, Strong Coupling Isotropization of Non-Abelian Plasmas Simplified , Phys. Rev. Lett. 108
Original
2012
Earlier work this paper cites.
M. P. Heller, R. A. Janik and P. Witaszczyk, The characteristics of thermalization of boost-invariant plasma from holography , Phys. Rev. Lett. 108
Original
2012
Earlier work this paper cites.
D. Bernard and B. Doyon, Energy flow in non-equilibrium conformal field theory , J. Phys. A45
Original
2012
Earlier work this paper cites.
J. M. (http://mathematica.stackexchange.com/users/50/j m), Updating wagon’s findallcrossings2d[] function , 2012
2012
Earlier work this paper cites.
A. Allais and E. Tonni, Holographic evolution of the mutual information , JHEP 01
Original
2012
Earlier work this paper cites.
J. Cadney, N. Linden and A. Winter, Infinitely many constrained inequalities for the von neumann entropy , IEEE Transactions on Information Theory 58
2012
Earlier work this paper cites.
R. Callan, J.-Y. He and M. Headrick, Strong subadditivity and the covariant holographic entanglement entropy formula , JHEP 06
Original
2012
Earlier work this paper cites.
Y.-Z. Li, S.-F. Wu, Y.-Q. Wang and G.-H. Yang, Linear growth of entanglement entropy in holographic thermalization captured by horizon interiors and mutual information , JHEP 09
Original
2013
Earlier work this paper cites.
M. Nozaki, T. Numasawa and T. Takayanagi, Holographic Local Quenches and Entanglement Density , JHEP 05
Original
2013
Earlier work this paper cites.

Similar

D. Bernard and B. Doyon, Time-reversal symmetry and fluctuation relations in non-equilibrium quantum steady states , J. Phys. A46
Original
2013
Cited alongside, same era.
T. Hartman and J. Maldacena, Time Evolution of Entanglement Entropy from Black Hole Interiors , JHEP 05
Original
2013
Cited alongside, same era.
V. E. Hubeny, H. Maxfield, M. Rangamani and E. Tonni, Holographic entanglement plateaux , JHEP 08
Original
2013
Cited alongside, same era.
P. Hayden, M. Headrick and A. Maloney, Holographic Mutual Information is Monogamous , Phys. Rev. D87
Original
2013
Cited alongside, same era.
H. Liu and S. J. Suh, Entanglement Tsunami: Universal Scaling in Holographic Thermalization , Phys. Rev. Lett. 112

Then

V. Ziogas, Holographic mutual information in global Vaidya-BTZ spacetime , JHEP 09
Original
2015
Later among the works it cites.
D. A. Roberts, D. Stanford and L. Susskind, Localized shocks , JHEP 03
Original
2015
Later among the works it cites.
M. Alishahiha, M. R. M. Mozaffar and M. R. Tanhayi, On the Time Evolution of Holographic n-partite Information , JHEP 09
Original
2015
Later among the works it cites.
Cambridge University Press, 2015
R. Stanley, Catalan Numbers · 2015
Later among the works it cites.
N. Lashkari, C. Rabideau, P. Sabella-Garnier and M. Van Raamsdonk, Inviolable energy conditions from entanglement inequalities , JHEP 06
Original
2015
Later among the works it cites.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

2014

Cited alongside, same era.

H. Liu and S. J. Suh, Entanglement growth during thermalization in holographic systems , Phys. Rev. D89

2014

Cited alongside, same era.

M. Alishahiha, A. Faraji Astaneh and M. R. Mohammadi Mozaffar, Thermalization in backgrounds with hyperscaling violating factor , Phys. Rev. D90

2014

Cited alongside, same era.

P. Caputa, M. Nozaki and T. Takayanagi, Entanglement of local operators in large-N conformal field theories , PTEP 2014

2014

Cited alongside, same era.

J. F. Pedraza, Evolution of nonlocal observables in an expanding boost-invariant plasma , Phys. Rev. D90

2014

Cited alongside, same era.

H.-C. Chang, A. Karch and A. Yarom, An ansatz for one dimensional steady state configurations , J. Stat. Mech. 1406

2014

Cited alongside, same era.

V. Keranen, H. Nishimura, S. Stricker, O. Taanila and A. Vuorinen, Dynamics of gravitational collapse and holographic entropy production , Phys. Rev. D90

Original

2014

Cited alongside, same era.

S. H. Shenker and D. Stanford, Black holes and the butterfly effect , JHEP 03

2014

Cited alongside, same era.

E. Megias, Out-of-equilibrium energy flow and steady state configurations in AdS/CFT , PoS EPS-HEP2015

2015

Later among the works it cites.

E. Berti, V. Cardoso, L. C. B. Crispino, L. Gualtieri, C. Herdeiro and U. Sperhake, Numerical Relativity and High Energy Physics: Recent Developments , Int. J. Mod. Phys. D25

2016

Later among the works it cites.

M. Guo, C. Niu, Y. Tian and H. Zhang, Applied AdS/CFT with Numerics , PoS Modave2015

2016

Later among the works it cites.

M. Rangamani, M. Rozali and A. Vincart-Emard, Dynamics of Holographic Entanglement Entropy Following a Local Quench , JHEP 04

2016

Later among the works it cites.

J. R. David, S. Khetrapal and S. P. Kumar, Universal corrections to entanglement entropy of local quantum quenches , JHEP 08

2016

Later among the works it cites.

C. Ecker, D. Grumiller, P. Stanzer, S. A. Stricker and W. van der Schee, Exploring nonlocal observables in shock wave collisions , JHEP 11

2016

Later among the works it cites.

D. Bernard and B. Doyon, Conformal field theory out of equilibrium: a review , J. Stat. Mech. 1606

2016

Later among the works it cites.

M. Spillane and C. P. Herzog, Relativistic Hydrodynamics and Non-Equilibrium Steady States , J. Stat. Mech. 1610

2016

Later among the works it cites.

A. Lucas, K. Schalm, B. Doyon and M. J. Bhaseen, Shock waves, rarefaction waves, and nonequilibrium steady states in quantum critical systems , Phys. Rev. D94

2016

Later among the works it cites.

P. Calabrese and J. Cardy, Quantum quenches in 1+1 dimensional conformal field theories , J. Stat. Mech. 1606

2016

Later among the works it cites.

M. R. Tanhayi, Thermalization of Mutual Information in Hyperscaling Violating Backgrounds , JHEP 03

2016

Later among the works it cites.

H. Casini, H. Liu and M. Mezei, Spread of entanglement and causality , JHEP 07

2016

Later among the works it cites.

S. Mirabi, M. R. Tanhayi and R. Vazirian, On the Monogamy of Holographic n n -partite Information , Phys. Rev. D93

2016

Later among the works it cites.

N. Bao and A. Chatwin-Davies, The Complexity of Identifying Ryu-Takayanagi Surfaces in AdS3/CFT2 , JHEP 11

2016

Later among the works it cites.

A. Prudenziati, Strong subadditivity and holography , Phys. Rev. D93

2016

Later among the works it cites.

C. Lancien, S. Di Martino, M. Huber, M. Piani, G. Adesso and A. Winter, Should Entanglement Measures be Monogamous or Faithful? , Phys. Rev. Lett. 117

2016

Later among the works it cites.

C. P. Herzog, M. Spillane and A. Yarom, The holographic dual of a Riemann problem in a large number of dimensions , JHEP 08

2016

Later among the works it cites.

E. Megias, Far-from-equilibrium energy flow and entanglement entropy , in 5th International Conference on New Frontiers in Physics Kolymbari, Crete, Greece, July 6-14, 2016 , 2016 · 2016

Later among the works it cites.

S. Kundu and J. F. Pedraza, Spread of entanglement for small subsystems in holographic CFTs , Phys. Rev. D95

2017

Closest in time.

M. Rozali and A. Vincart-Emard, Comments on Entanglement Propagation , JHEP 06

2017

Closest in time.

J. Erdmenger, M. Flory, M.-N. Newrzella, M. Strydom and J. M. S. Wu, Quantum Quenches in a Holographic Kondo Model , JHEP 04

2017

Closest in time.

M. Mezei, On entanglement spreading from holography , JHEP 05

2017

Closest in time.

M. Mezei and D. Stanford, On entanglement spreading in chaotic systems , JHEP 05

2017

Closest in time.

“CDF Player.” https://en.wikipedia.org/wiki/CDF_Player , accessed 11th April 2017

2017

Closest in time.

A. Bohrdt, C. B. Mendl, M. Endres and M. Knap, Scrambling and thermalization in a diffusive quantum many-body system , New J. Phys. 19

2017

Closest in time.

P. M. Chesler and L. G. Yaffe, Horizon formation and far-from-equilibrium isotropization in supersymmetric Yang-Mills plasma , Phys. Rev. Lett. 102

2053

Closest in time.