Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT

doi:http://dx.doi.org/10.1007/JHEP08(2017)126

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	Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT
	Zhang, JJ; He, S; Lin, FL; 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.
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2017
期号	8 页码:126
关键词	Ads-cft Correspondence Conformal Field Theory Holography And Condensed Matter Physics (Ads/cmt)
DOI	http://dx.doi.org/10.1007/JHEP08(2017)126
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.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/21984]
专题	理论物理研究所_理论物理所1978-2010年知识产出
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.
推荐引用方式 GB/T 7714	Zhang, JJ,He, S,Lin, FL,et al. Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT[J]. JOURNAL OF HIGH ENERGY PHYSICS,2017(8):126.
APA	Zhang, JJ,He, S,Lin, FL,He, S ,&He, S .(2017).Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT.JOURNAL OF HIGH ENERGY PHYSICS(8),126.
MLA	Zhang, JJ,et al."Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT".JOURNAL OF HIGH ENERGY PHYSICS .8(2017):126.