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Sheikh-Jabbari, MM; Yavartanoo, H; Sheikh-Jabbari, MM (reprint author), Inst Res Fundamental Sci IPM, Sch Phys, POB 19395-5531, Tehran 1953833511, Iran.
Excitation entanglement entropy in two dimensional conformal field theories
Source PublicationPHYSICAL REVIEW D
Language英语
AbstractWe 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.
2016
Volume94Issue:12Pages:126006
Subject AreaAstronomy & Astrophysics ; Physics
DOIhttp://dx.doi.org/10.1103/PhysRevD.94.126006
Indexed BySCI
Funding OrganizationAllameh Tabatabaii Prize Grant of Boniad Melli Nokhbegan of Iran ; Allameh Tabatabaii Prize Grant of Boniad Melli Nokhbegan of Iran ; Allameh Tabatabaii Prize Grant of Boniad Melli Nokhbegan of Iran ; Allameh Tabatabaii Prize Grant of Boniad Melli Nokhbegan of Iran ; SarAmadan grant of Iranian vice presidency in science and technology ; SarAmadan grant of Iranian vice presidency in science and technology ; SarAmadan grant of Iranian vice presidency in science and technology ; SarAmadan grant of Iranian vice presidency in science and technology ; ICTP Network Project [NET-68] ; ICTP Network Project [NET-68] ; ICTP Network Project [NET-68] ; ICTP Network Project [NET-68] ; ICTP Simons fellowship ; ICTP Simons fellowship ; ICTP Simons fellowship ; ICTP Simons fellowship
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/21461
Collection理论物理所科研产出_SCI期刊论文
Corresponding AuthorSheikh-Jabbari, MM (reprint author), Inst Res Fundamental Sci IPM, Sch Phys, POB 19395-5531, Tehran 1953833511, Iran.
Recommended Citation
GB/T 7714
Sheikh-Jabbari, MM,Yavartanoo, H,Sheikh-Jabbari, MM . Excitation entanglement entropy in two dimensional conformal field theories[J]. PHYSICAL REVIEW D,2016,94(12):126006.
APA Sheikh-Jabbari, MM,Yavartanoo, H,&Sheikh-Jabbari, MM .(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.
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