Thermalization of mutual and tripartite information in strongly coupled two dimensional conformal field theories

Details Thermalization of mutual and tripartite information in strongly coupled two dimensional conformal field theories Thermalization of mutual and tripartite information in strongly coupled two dimensional conformal field theories

2011-10-03

arxiv.org/abs/1110.0488v2

PhysRevD.84.105017,2011

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 8 figures, v2: cosmetic changes to match the published version

Scientific paper

10.1103/PhysRevD.84.105017

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 two-dimensional conformal field theories with a gravity dual following the homogenous deposition of energy. The injected energy is modeled in anti-de Sitter 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 two-dimensional quantum quench in the limit of large time and distance scales compared to the initial inverse mass gap.

Affiliated with

Also associated with

No associations

Rating

Thermalization of mutual and tripartite information in strongly coupled two dimensional conformal field theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Thermalization of mutual and tripartite information in strongly coupled two dimensional conformal field theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Thermalization of mutual and tripartite information in strongly coupled two dimensional conformal field theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-267018