Entanglement through conformal interfaces

Details Entanglement through conformal interfaces Entanglement through conformal interfaces

2008-09-26

arxiv.org/abs/0809.4548v3

JHEP0812:001,2008

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, no figures; (v2) a reference added, minor changes; (v3) results and comments on special cases added

Scientific paper

10.1088/1126-6708/2008/12/001

We 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.

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