Entanglement entropy in inhomogeneous quenches in AdS3/CFT2

Tim De Jonckheere, Jonathan Lindgren

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2 Citations (Scopus)


We compute entanglement entropy and differential entropy in inhomogeneous holographic quenches in AdS3/CFT2. The quenches are arbitrarily inhomogeneous and modeled by an infalling shell of massless nonrotating matter where the final state is not dual to a static black hole but rather to a black hole with time-dependent stress-energy tensor modes. We study the entanglement entropy of an interval and differential entropy of a family of intervals analytically when the inhomogeneities have a perturbative amplitude and numerically for nonperturbative inhomogeneities. While we are in principle able to study these quantities for any inhomogeneities, we discuss two concrete examples: an oscillatory quench and a bilocal quench. Both cases display saturation towards a steady state but do not fully thermalize. Depending on the location and size of the interval, the entanglement entropy displays a variety of interesting phenomena such as plateau phases, bumps, and discontinuities in its first derivative with respect to time.

Original languageEnglish
Article number106006
Number of pages26
JournalPhys. Rev. D
Issue number10
Publication statusPublished - 8 Nov 2018

Bibliographical note

48 pages, 10 figures, v2: various improvements, agrees with published version


  • hep-th


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