Thermality and excited state renyi entropy in two-dimensional cft
文献类型：期刊论文
| 作者 | Lin, Feng-Li1; Wang, Huajia2; Zhang, Jia-ju3,4,5 |
| 刊名 | Journal of high energy physics
 |
| 出版日期 | 2016-11-21 |
| 期号 | 11页码:19 |
| 关键词 | Conformal field theory Ads-cft correspondence Holography and condensed matter physics (ads/cmt) |
| ISSN号 | 1029-8479 |
| DOI | 10.1007/jhep11(2016)116 |
| 通讯作者 | Lin, feng-li(fengli.lin@gmail.com) |
| 英文摘要 | We evaluate one-interval renyi entropy and entanglement entropy for the excited states of two-dimensional conformal field theory (cft) on a cylinder, and examine their differences from the ones for the thermal state. we assume the interval to be short so that we can use operator product expansion (ope) of twist operators to calculate renyi entropy in terms of sum of one-point functions of ope blocks. we find that the entanglement entropy for highly excited state and thermal state behave the same way after appropriate identification of the conformal weight of the state with the temperature. however, there exists no such universal identification for the renyi entropy in the short-interval expansion. therefore, the highly excited state does not look thermal when comparing its renyi entropy to the thermal state one. as the renyi entropy captures the higher moments of the reduced density matrix but the entanglement entropy only the average, our results imply that the emergence of thermality depends on how refined we look into the entanglement structure of the underlying pure excited state. |
| WOS关键词 | STATISTICAL-MECHANICS |
| WOS研究方向 | Physics |
| WOS类目 | Physics, Particles & Fields |
| 语种 | 英语 |
| WOS记录号 | WOS:000399296500001 |
| 出版者 | SPRINGER |
| URI标识 | http://www.irgrid.ac.cn/handle/1471x/2177467 |
| 专题 | 高能物理研究所 |
| 通讯作者 | Lin, Feng-Li |
| 作者单位 | 1.Natl Taiwan Normal Univ, Dept Phys, Taipei 11677, Taiwan 2.Univ Illinois, Dept Phys, Urbana, IL 61801 USA 3.Univ Milano Bicocca, Dipartimento Fis, Piazza Sci 3, I-20126 Milan, Italy 4.Chinese Acad Sci, Inst High Energy Phys, Theoret Phys Div, 19B Yuquan Rd, Beijing 100049, Peoples R China 5.Chinese Acad Sci, Theoret Phys Ctr Sci Facil, 19B Yuquan Rd, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Lin, Feng-Li,Wang, Huajia,Zhang, Jia-ju. Thermality and excited state renyi entropy in two-dimensional cft[J]. Journal of high energy physics,2016(11):19. |
| APA | Lin, Feng-Li,Wang, Huajia,&Zhang, Jia-ju.(2016).Thermality and excited state renyi entropy in two-dimensional cft.Journal of high energy physics(11),19. |
| MLA | Lin, Feng-Li,et al."Thermality and excited state renyi entropy in two-dimensional cft".Journal of high energy physics .11(2016):19. |
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来源：高能物理研究所
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