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He, S; Lin, FL; Zhang, JJ; 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.
Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT
Source PublicationJOURNAL OF HIGH ENERGY PHYSICS
Language英语
KeywordAds-cft Correspondence Conformal Field Theory Holography And Condensed Matter Physics (Ads/cmt)
AbstractWe 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.
2017
Issue8Pages:126
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1007/JHEP08(2017)126
Funding OrganizationMax-Planck fellowship in Germany ; Max-Planck fellowship in Germany ; Max-Planck fellowship in Germany ; Max-Planck fellowship in Germany ; National Natural Science Foundation of China [11305235] ; National Natural Science Foundation of China [11305235] ; National Natural Science Foundation of China [11305235] ; National Natural Science Foundation of China [11305235] ; Taiwan Ministry of Science and Technology [103-2112-M-003-001-MY3, 103-2811-M-003-024] ; Taiwan Ministry of Science and Technology [103-2112-M-003-001-MY3, 103-2811-M-003-024] ; Taiwan Ministry of Science and Technology [103-2112-M-003-001-MY3, 103-2811-M-003-024] ; Taiwan Ministry of Science and Technology [103-2112-M-003-001-MY3, 103-2811-M-003-024] ; ERC Starting Grant [637844-HBQFTNCER] ; ERC Starting Grant [637844-HBQFTNCER] ; ERC Starting Grant [637844-HBQFTNCER] ; ERC Starting Grant [637844-HBQFTNCER]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/21984
Collection理论物理所科研产出_SCI论文
Corresponding AuthorHe, 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.
Recommended Citation
GB/T 7714
He, S,Lin, FL,Zhang, JJ,et al. Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT[J]. JOURNAL OF HIGH ENERGY PHYSICS,2017(8):126.
APA He, S,Lin, FL,Zhang, JJ,He, S ,&He, S .(2017).Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT.JOURNAL OF HIGH ENERGY PHYSICS(8),126.
MLA He, S,et al."Subsystem eigenstate thermalization hypothesis for entanglement entropy in CFT".JOURNAL OF HIGH ENERGY PHYSICS .8(2017):126.
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