Entanglement through conformal interfaces

dc.creatorSakai, Kazuhiro
dc.creatorSatoh, Yuji
dc.date2008-09-26
dc.date2008-11-17
dc.date.accessioned2026-07-07T12:15:44Z
dc.date.available2026-07-07T12:15:44Z
dc.descriptionWe consider entanglement through permeable interfaces in the c=1 (1+1)-dimensional conformal field theory. We compute the partition functions with the interfaces inserted. By the replica trick, the entanglement entropy is obtained analytically. The entropy scales logarithmically with respect to the size of the system, similarly to the universal scaling of the ordinary entanglement entropy in (1+1)-dimensional conformal field theory. Its coefficient, however, is not constant but controlled by the permeability, the dependence on which is expressed through the dilogarithm function. The sub-leading term of the entropy counts the winding numbers, showing an analogy to the topological entanglement entropy which characterizes the topological order in (2+1)-dimensional systems.
dc.description14 pages, no figures; (v2) a reference added, minor changes; (v3) results and comments on special cases added
dc.identifierhttps://arxiv.org/abs/0809.4548
dc.identifierhttp://arxiv.org/abs/0809.4548
dc.identifierJHEP0812:001,2008
dc.identifierdoi:10.1088/1126-6708/2008/12/001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211580
dc.subjectHigh Energy Physics - Theory
dc.subjectStrongly Correlated Electrons
dc.subjectQuantum Physics
dc.titleEntanglement through conformal interfaces
dc.typetext

Files

Collections