Research output: Contribution to journal › Article

**Thermalization of mutual and tripartite information in strongly coupled two dimensional CFTs.** / Balasubramanian, Vijay; Bernamonti, Alice; Copland, Neil; Craps, Ben; Galli, Federico.

Research output: Contribution to journal › Article

Balasubramanian, V, Bernamonti, A, Copland, N, Craps, B & Galli, F 2011, 'Thermalization of mutual and tripartite information in strongly coupled two dimensional CFTs', *Physical Review D. Particles, Fields, Gravitation, and Cosmology*, vol. 84, no. 10, 105017.

Balasubramanian, V., Bernamonti, A., Copland, N., Craps, B., & Galli, F. (2011). Thermalization of mutual and tripartite information in strongly coupled two dimensional CFTs. *Physical Review D. Particles, Fields, Gravitation, and Cosmology*, *84*(10), [105017].

Balasubramanian V, Bernamonti A, Copland N, Craps B, Galli F. Thermalization of mutual and tripartite information in strongly coupled two dimensional CFTs. Physical Review D. Particles, Fields, Gravitation, and Cosmology. 2011;84(10). 105017.

@article{60d48bc3cad54fcba60704af1946533f,

title = "Thermalization of mutual and tripartite information in strongly coupled two dimensional CFTs",

abstract = "The mutual and tripartite information between pairs and triples of disjoint regions in a quantum field theory are sensitive probes of the spread of correlations in an equilibrating system. We compute these quantities in strongly coupled 2d CFTs with a gravity dual following the homogenous deposition of energy. The injected energy is modeled in AdS space as an infalling shell, and the information shared by disjoint intervals is computed in terms of geodesic lengths in this background. For given widths and separation of the intervals, the mutual information typically starts at its vacuum value, then increases in time to reach a maximum, and then declines to the value at thermal equilibrium. A simple causality argument qualitatively explains this behavior. The tripartite information is generically non-zero and time-dependent throughout the process. This contrasts with (but does not contradict) the time-independent tripartite information one finds after a 2d quantum quench in the limit of large time and distance scales compared to the initial inverse mass gap.",

keywords = "field theory : conformal, space : anti-de sitter, gravitation : duality, mass : gap, dimensions : 2, strong coupling, correlation",

author = "Vijay Balasubramanian and Alice Bernamonti and Neil Copland and Ben Craps and Federico Galli",

year = "2011",

language = "English",

volume = "84",

journal = "Physical Review D. Particles, Fields, Gravitation, and Cosmology",

issn = "1550-7998",

publisher = "American Physical Society",

number = "10",

}

TY - JOUR

T1 - Thermalization of mutual and tripartite information in strongly coupled two dimensional CFTs

AU - Balasubramanian, Vijay

AU - Bernamonti, Alice

AU - Copland, Neil

AU - Craps, Ben

AU - Galli, Federico

PY - 2011

Y1 - 2011

N2 - The mutual and tripartite information between pairs and triples of disjoint regions in a quantum field theory are sensitive probes of the spread of correlations in an equilibrating system. We compute these quantities in strongly coupled 2d CFTs with a gravity dual following the homogenous deposition of energy. The injected energy is modeled in AdS space as an infalling shell, and the information shared by disjoint intervals is computed in terms of geodesic lengths in this background. For given widths and separation of the intervals, the mutual information typically starts at its vacuum value, then increases in time to reach a maximum, and then declines to the value at thermal equilibrium. A simple causality argument qualitatively explains this behavior. The tripartite information is generically non-zero and time-dependent throughout the process. This contrasts with (but does not contradict) the time-independent tripartite information one finds after a 2d quantum quench in the limit of large time and distance scales compared to the initial inverse mass gap.

AB - The mutual and tripartite information between pairs and triples of disjoint regions in a quantum field theory are sensitive probes of the spread of correlations in an equilibrating system. We compute these quantities in strongly coupled 2d CFTs with a gravity dual following the homogenous deposition of energy. The injected energy is modeled in AdS space as an infalling shell, and the information shared by disjoint intervals is computed in terms of geodesic lengths in this background. For given widths and separation of the intervals, the mutual information typically starts at its vacuum value, then increases in time to reach a maximum, and then declines to the value at thermal equilibrium. A simple causality argument qualitatively explains this behavior. The tripartite information is generically non-zero and time-dependent throughout the process. This contrasts with (but does not contradict) the time-independent tripartite information one finds after a 2d quantum quench in the limit of large time and distance scales compared to the initial inverse mass gap.

KW - field theory : conformal

KW - space : anti-de sitter

KW - gravitation : duality

KW - mass : gap

KW - dimensions : 2

KW - strong coupling

KW - correlation

M3 - Article

VL - 84

JO - Physical Review D. Particles, Fields, Gravitation, and Cosmology

JF - Physical Review D. Particles, Fields, Gravitation, and Cosmology

SN - 1550-7998

IS - 10

M1 - 105017

ER -

ID: 2119754