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题名: Quantum dimension as entanglement entropy in two dimensional conformal field theories
作者: He, S ;  Numasawa, T ;  Takayanagi, T ;  Watanabe, K
刊名: PHYSICAL REVIEW D
出版日期: 2014
卷号: 90, 期号:4, 页码:41701
学科分类: Physics
DOI: 10.1103/PhysRevD.90.041701
通讯作者: He, S (reprint author), Kyoto Univ, Yukawa Inst Theoret Phys, Sakyo Ku, Kitashirakawa Oiwakecho, Kyoto 6068502, Japan.
部门归属: [He, Song ;  Numasawa, Tokiro ;  Takayanagi, Tadashi ;  Watanabe, Kento] Kyoto Univ, Yukawa Inst Theoret Phys, Sakyo Ku, Kyoto 6068502, Japan ;  [He, Song] Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China ;  [Takayanagi, Tadashi] Univ Tokyo, Kavli Inst Phys & Math Universe, Kashiwa, Chiba 2778582, Japan
英文摘要: 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.
资助者: JSPS postdoctoral fellowship; National Natural Science Foundation of China [11305235]; JSPS [25287058, 24654057]; Japan Ministry of Education, Culture, Sports, Science and Technology (MEXT)
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000341106500001
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/15681
Appears in Collections:理论物理所2014年知识产出 _期刊论文

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Recommended Citation:
He, S,Numasawa, T,Takayanagi, T,et al. Quantum dimension as entanglement entropy in two dimensional conformal field theories[J]. PHYSICAL REVIEW D,2014,90(4):41701.
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