### Abstract

We study the Rényi entropies of N disjoint intervals in the conformal field theories describing the free compactified boson and the Ising model. They are computed as the 2N-point function of twist fields, by employing the partition function of the model on a particular class of Riemann surfaces. The results are written in terms of Riemann theta functions. The prediction for the free boson in the decompactification regime is checked against exact results for the harmonic chain. For the Ising model, matrix product state computations agree with the conformal field theory result once the finite size corrections have been taken into account.

Language | English |
---|---|

Article number | P01008 |

Number of pages | 61 |

Journal | Journal of Statistical Mechanics: Theory and Experiment |

Volume | 2014 |

Issue number | 1 |

DOIs | |

Publication status | Published - 17 Jan 2014 |

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### Keywords

- conformal field theory
- entanglement in extended quantum systems (theory)
- ladders and planes (theory)
- spin chains
- Renyi entropies

### Cite this

*Journal of Statistical Mechanics: Theory and Experiment*,

*2014*(1), [P01008]. https://doi.org/10.1088/1742-5468/2014/01/P01008

}

*Journal of Statistical Mechanics: Theory and Experiment*, vol. 2014, no. 1, P01008. https://doi.org/10.1088/1742-5468/2014/01/P01008

**On Rényi entropies of disjoint intervals in conformal field theory.** / Coser, Andrea; Tagliacozzo, Luca; Tonni, Erik.

Research output: Contribution to journal › Article

TY - JOUR

T1 - On Rényi entropies of disjoint intervals in conformal field theory

AU - Coser, Andrea

AU - Tagliacozzo, Luca

AU - Tonni, Erik

PY - 2014/1/17

Y1 - 2014/1/17

N2 - We study the Rényi entropies of N disjoint intervals in the conformal field theories describing the free compactified boson and the Ising model. They are computed as the 2N-point function of twist fields, by employing the partition function of the model on a particular class of Riemann surfaces. The results are written in terms of Riemann theta functions. The prediction for the free boson in the decompactification regime is checked against exact results for the harmonic chain. For the Ising model, matrix product state computations agree with the conformal field theory result once the finite size corrections have been taken into account.

AB - We study the Rényi entropies of N disjoint intervals in the conformal field theories describing the free compactified boson and the Ising model. They are computed as the 2N-point function of twist fields, by employing the partition function of the model on a particular class of Riemann surfaces. The results are written in terms of Riemann theta functions. The prediction for the free boson in the decompactification regime is checked against exact results for the harmonic chain. For the Ising model, matrix product state computations agree with the conformal field theory result once the finite size corrections have been taken into account.

KW - conformal field theory

KW - entanglement in extended quantum systems (theory)

KW - ladders and planes (theory)

KW - spin chains

KW - Renyi entropies

UR - http://www.scopus.com/inward/record.url?scp=84893511664&partnerID=8YFLogxK

U2 - 10.1088/1742-5468/2014/01/P01008

DO - 10.1088/1742-5468/2014/01/P01008

M3 - Article

VL - 2014

JO - Journal of Statistical Mechanics: Theory and Experiment

T2 - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

SN - 1742-5468

IS - 1

M1 - P01008

ER -