Excitation entanglement entropy in two dimensional conformal field theories

doi:http://dx.doi.org/10.1103/PhysRevD.94.126006

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	Excitation entanglement entropy in two dimensional conformal field theories
	Sheikh-Jabbari, MM ; Yavartanoo, H
刊名	PHYSICAL REVIEW D
	2016
卷号	94 期号:12 页码:126006
关键词	COADJOINT ORBITS GEOMETRY CHARGES GRAVITY
DOI	http://dx.doi.org/10.1103/PhysRevD.94.126006
英文摘要	We analyze how excitations affect the entanglement entropy for an arbitrary entangling interval in a 2d conformal field theory (CFT) using the holographic entanglement entropy techniques as well as direct CFT computations. We introduce the excitation entanglement entropy.hS, the difference between the entanglement entropy generic excitations and their arbitrary conformal descendants denoted through h. The excitation entanglement entropy, unlike the entanglement entropy, is a finite quantity (independent of the cutoff), and hence a good physical observable. We show that the excitation entanglement entropy for any given interval is uniquely specified by a local second order differential equation sourced by the one point function of the energy momentum tensor computed in the excited background state, and two boundary and smoothness conditions. We analyze low and high temperature behavior of the excitation entanglement entropy and show that Delta S-h grows as a function of temperature. We prove an "integrated positivity" for the excitation entanglement entropy, that although Delta S-h can be positive or negative, its average value is always positive. We also discuss the mutual and multipartite information and (strong) subadditivity inequality in the presence of generic excitations and their conformal descendants.
学科主题	Astronomy & Astrophysics ; Physics
语种	英语
资助机构	Allameh Tabatabaii Prize Grant of Boniad Melli Nokhbegan of Iran ; SarAmadan grant of Iranian vice presidency in science and technology ; ICTP Network Project [NET-68] ; ICTP Simons fellowship
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/23136]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.[Yavartanoo, H.] Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.[Sheikh-Jabbari, M. M.] Inst Res Fundamental Sci IPM, Sch Phys, POB 19395-5531, Tehran 1953833511, Iran
推荐引用方式 GB/T 7714	Sheikh-Jabbari, MM,Yavartanoo, H. Excitation entanglement entropy in two dimensional conformal field theories[J]. PHYSICAL REVIEW D,2016,94(12):126006.
APA	Sheikh-Jabbari, MM,&Yavartanoo, H.(2016).Excitation entanglement entropy in two dimensional conformal field theories.PHYSICAL REVIEW D,94(12),126006.
MLA	Sheikh-Jabbari, MM,et al."Excitation entanglement entropy in two dimensional conformal field theories".PHYSICAL REVIEW D 94.12(2016):126006.