### 摘要

We evaluate one-interval Rényi 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 Rényi 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 Rényi entropy in the short-interval expansion. Therefore, the highly excited state does not look thermal when comparing its Rényi entropy to the thermal state one. As the Rényi 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.

原文 | 英語 |
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文章編號 | 116 |

期刊 | Journal of High Energy Physics |

卷 | 2016 |

發行號 | 11 |

DOIs | |

出版狀態 | 已發佈 - 2016 十一月 1 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

## 指紋 深入研究「Thermality and excited state Rényi entropy in two-dimensional CFT」主題。共同形成了獨特的指紋。

## 引用此

*Journal of High Energy Physics*,

*2016*(11), [116]. https://doi.org/10.1007/JHEP11(2016)116