English

AdS plane waves, entanglement and mutual information

High Energy Physics - Theory 2014-07-23 v2

Abstract

AdSAdS plane wave backgrounds are dual to CFT excited states with energy momentum density T++=QT_{++}=Q. Building on previous work on entanglement entropy in these and nonconformal brane plane wave backgrounds, we first describe a phenomenological scaling picture for entanglement in terms of "entangling partons". We then study aspects of holographic mutual information in these backgrounds for two strip shaped subsystems, aligned parallel or orthogonal to the flux. We focus on the wide (Qld1Ql^d\gg 1) and narrow (Qld1Ql^d\ll 1) strip regimes. In the wide strip regime, mutual information exhibits growth with the individual strip sizes and a disentangling transition as the separation between the strips increases, whose behaviour is distinct from the ground and thermal states. In the narrow strip case, our calculations have parallels with "entanglement thermodynamics" for these AdSAdS plane wave deformations. We also discuss some numerical analysis.

Keywords

Cite

@article{arxiv.1405.3553,
  title  = {AdS plane waves, entanglement and mutual information},
  author = {Debangshu Mukherjee and K. Narayan},
  journal= {arXiv preprint arXiv:1405.3553},
  year   = {2014}
}

Comments

Latex, 28pgs, 5 eps figs, v2: minor modifications

R2 v1 2026-06-22T04:14:09.110Z