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Entanglement entropy in inhomogeneous quenches in AdS(3)/CFT2
Vrije Univ Brussel, Theoret Nat Kunde, Pl Laan 2, B-1050 Brussels, Belgium.;Int Solvay Inst, Pl Laan 2, B-1050 Brussels, Belgium..
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Stockholm Univ, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden..
2018 (English)In: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 98, no 10, article id 106006Article in journal (Refereed) Published
Abstract [en]

We compute entanglement entropy and differential entropy in inhomogeneous holographic quenches in AdS(3)/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.

Place, publisher, year, edition, pages
American Physical Society, 2018. Vol. 98, no 10, article id 106006
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-239475DOI: 10.1103/PhysRevD.98.106006ISI: 000449518800008OAI: oai:DiVA.org:kth-239475DiVA, id: diva2:1265679
Note

QC 20181126

Available from: 2018-11-26 Created: 2018-11-26 Last updated: 2018-11-26Bibliographically approved

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