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Title: Quantum dimension as entanglement entropy in two dimensional conformal field theories
Authors: He, Song
Numasawa, Tokiro
Takayanagi, Tadashi  kyouindb  KAKEN_id
Watanabe, Kento
Author's alias: 高柳, 匡
Issue Date: 13-Aug-2014
Publisher: American Physical Society
Journal title: Physical Review D
Volume: 90
Issue: 4
Thesis number: 041701(R)
Abstract: We study the entanglement entropy of excited states in two-dimensional conformal field theories (CFTs). In particular, we consider excited states obtained by acting on a vacuum with primary operators. We show that the entanglement entropy increases by a finite constant amount under its time evolution. Moreover, in rational conformal field theories, we prove that this increase of the (both Renyi and von Neumann) entanglement entropy always coincides with the log of the quantum dimension of the primary operator.
Rights: © 2014 American Physical Society
URI: http://hdl.handle.net/2433/202097
DOI(Published Version): 10.1103/PhysRevD.90.041701
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