中国科学院理论物理研究所机构知识库
Advanced  
ITP OpenIR  > 理论物理所2017年知识产出  > 期刊论文
题名: Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT
作者: He, S ;  Lin, FL ;  Zhang, JJ
刊名: JOURNAL OF HIGH ENERGY PHYSICS
出版日期: 2017
期号: 8, 页码:126
关键词: AdS-CFT Correspondence ;  Conformal Field Theory ;  Holography and condensed matter physics (AdS/CMT)
学科分类: Physics
DOI: http://dx.doi.org/10.1007/JHEP08(2017)126
通讯作者: He, S (reprint author), Max Planck Inst Gravitat Phys, Albert Einstein Inst, Muhlenberg 1, D-14476 Golm, Germany. ;  He, S (reprint author), Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, 55 Zhong Guan Cun East Rd, Beijing 100190, Peoples R China.
文章类型: Article
英文摘要: We investigate a weak version of subsystem eigenstate thermalization hypothesis (ETH) for a two-dimensional large central charge conformal field theory by comparing the local equivalence of high energy state and thermal state of canonical ensemble. We evaluate the single-interval Renyi entropy and entanglement entropy for a heavy primary state in short interval expansion. We verify the results of Renyi entropy by two different replica methods. We find nontrivial results at the eighth order of short interval expansion, which include an in finite number of higher order terms in the large central charge expansion. We then evaluate the relative entropy of the reduced density matrices to measure the difference between the heavy primary state and thermal state of canonical ensemble, and find that the aforementioned nontrivial eighth order results make the relative entropy unsuppressed in the large central charge limit. By using Pinsker's and Fannes-Audenaert inequalities, we can exploit the results of relative entropy to yield the lower and upper bounds on trace distance of the excited-state and thermal-state reduced density matrices. Our results are consistent with subsystem weak ETH, which requires the above trace distance is of power-law suppression by the large central charge. However, we are unable to pin down the exponent of power-law suppression. As a byproduct we also calculate the relative entropy to measure the difference between the reduced density matrices of two different heavy primary states.
类目[WOS]: Physics, Particles & Fields
关键词[WOS]: FIELD-THEORIES ;  STRING THEORY ;  QUANTUM ;  SYSTEMS ;  GRAVITY
项目资助者: Max-Planck fellowship in Germany ;  National Natural Science Foundation of China [11305235] ;  Taiwan Ministry of Science and Technology [103-2112-M-003-001-MY3, 103-2811-M-003-024] ;  ERC Starting Grant [637844-HBQFTNCER]
语种: 英语
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/21984
Appears in Collections:理论物理所2017年知识产出_期刊论文

Files in This Item: Download All
File Name/ File Size Content Type Version Access License
Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT - He, Lin, Zhang - 2017.pdf(627KB)----开放获取View Download

Recommended Citation:
He, S,Lin, FL,Zhang, JJ. Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT[J]. JOURNAL OF HIGH ENERGY PHYSICS,2017(8):126.
Service
 Recommend this item
 Sava as my favorate item
 Show this item's statistics
 Export Endnote File
Google Scholar
 Similar articles in Google Scholar
 [He, S]'s Articles
 [Lin, FL]'s Articles
 [Zhang, JJ]'s Articles
CSDL cross search
 Similar articles in CSDL Cross Search
 [He, S]‘s Articles
 [Lin, FL]‘s Articles
 [Zhang, JJ]‘s Articles
Related Copyright Policies
Null
Social Bookmarking
  Add to CiteULike  Add to Connotea  Add to Del.icio.us  Add to Digg  Add to Reddit 
文件名: Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT - He, Lin, Zhang - 2017.pdf
格式: Adobe PDF
此文件暂不支持浏览
所有评论 (0)
暂无评论
 
评注功能仅针对注册用户开放,请您登录
您对该条目有什么异议,请填写以下表单,管理员会尽快联系您。
内 容:
Email:  *
单位:
验证码:   刷新
您在IR的使用过程中有什么好的想法或者建议可以反馈给我们。
标 题:
 *
内 容:
Email:  *
验证码:   刷新

Items in IR are protected by copyright, with all rights reserved, unless otherwise indicated.

 

 

Valid XHTML 1.0!
Copyright © 2007-2018  中国科学院理论物理研究所 - Feedback
Powered by CSpace