Built on

X. Dong, S. Harrison, S. Kachru, G. Torroba and H. Wang, “Aspects of holography for theories with hyperscaling violation,” JHEP 1206
Original
1905
Earlier work this paper cites.
L. Bombelli, R. K. Koul, J. Lee and R. D. Sorkin, “A Quantum Source of Entropy for Black Holes,” Phys. Rev. D 34
1986
Earlier work this paper cites.
R. Haag, “Local quantum physics: Fields, particles, algebras”, Berlin, Germany: Springer (1992)
1992
Earlier work this paper cites.
M. Srednicki, “Entropy and area,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
L. Susskind, “The World as a hologram,” J. Math. Phys. 36
1995
Earlier work this paper cites.
T. Banks, W. Fischler, S. H. Shenker and L. Susskind, “M theory as a matrix model: A Conjecture,” Phys. Rev. D 55
1997
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.
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 0608
2006
Earlier work this paper cites.
M. Headrick and T. Takayanagi, “A Holographic proof of the strong subadditivity of entanglement entropy,” Phys. Rev. D 76
Original
2007
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.

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2012

Holographic Mutual Information at Finite Temperature

Fischler, Willy, Kundu, Arnab, Kundu, Sandipan

Understand

Using the Ryu-Takayanagi conjectured formula for entanglement entropy in the context of gauge-gravity duality, we investigate properties of mutual information between two disjoint rectangular sub-systems in finite temperature relativistic conformal field theories in d-spacetime dimensions and non-relativistic scale-invariant theories in some generic examples.

In all these cases mutual information undergoes a transition beyond which it is identically zero.
We study this transition in detail and find universal qualitative features for the above class of theories which has holographic dual descriptions.
We also obtain analytical results for mutual information in the specific regime of the parameter space.

Built on

X. Dong, S. Harrison, S. Kachru, G. Torroba and H. Wang, “Aspects of holography for theories with hyperscaling violation,” JHEP 1206
Original
1905
Earlier work this paper cites.
L. Bombelli, R. K. Koul, J. Lee and R. D. Sorkin, “A Quantum Source of Entropy for Black Holes,” Phys. Rev. D 34
1986
Earlier work this paper cites.
R. Haag, “Local quantum physics: Fields, particles, algebras”, Berlin, Germany: Springer (1992)
1992
Earlier work this paper cites.
M. Srednicki, “Entropy and area,” Phys. Rev. Lett. 71
1993
Earlier work this paper cites.
L. Susskind, “The World as a hologram,” J. Math. Phys. 36
1995
Earlier work this paper cites.
T. Banks, W. Fischler, S. H. Shenker and L. Susskind, “M theory as a matrix model: A Conjecture,” Phys. Rev. D 55
1997
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.
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 0608
2006
Earlier work this paper cites.
M. Headrick and T. Takayanagi, “A Holographic proof of the strong subadditivity of entanglement entropy,” Phys. Rev. D 76
Original
2007
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.