Entanglement constant for conformal families
2015 (English)In: Physical Review D, ISSN 1550-7998, Vol. 92, no 6, 065010Article in journal (Refereed) Published
We show that in 1 + 1 dimensional conformal field theories, exciting a state with a local operator increases the Renyi entanglement entropies by a constant which is the same for every member of the conformal family. Hence, it is an intrinsic parameter that characterizes local operators from the perspective of quantum entanglement. In rational conformal field theories this constant corresponds to the logarithm of the quantum dimension of the primary operator. We provide several detailed examples for the second Renyi entropies and a general derivation.
Place, publisher, year, edition, pages
[Caputa, Pawel] KTH Royal Inst Technol, Nordita, SE-10691 Stockholm, Sweden. [Caputa, Pawel] Stockholm Univ, SE-10691 Stockholm, Sweden. [Veliz-Osorio, Alvaro] Univ Witwatersrand, Sch Phys, Mandelstam Inst Theoret Phys, ZA-2050 Johannesburg, South Africa., 2015. Vol. 92, no 6, 065010
Astronomy, Astrophysics and Cosmology
IdentifiersURN: urn:nbn:se:kth:diva-174217DOI: 10.1103/PhysRevD.92.065010ISI: 000361120500006ScopusID: 2-s2.0-84943594904OAI: oai:DiVA.org:kth-174217DiVA: diva2:860024
QC 201510092015-10-092015-10-022015-10-09Bibliographically approved