On Rényi entropies of disjoint intervals in conformal field theory

Andrea Coser, Luca Tagliacozzo, Erik Tonni

Research output: Contribution to journalArticle

44 Citations (Scopus)

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.

LanguageEnglish
Article numberP01008
Number of pages61
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2014
Issue number1
DOIs
Publication statusPublished - 17 Jan 2014

Fingerprint

Rényi Entropy
Conformal Field Theory
Bosons
Ising Model
Disjoint
entropy
intervals
Riemann Function
Ising model
Interval
Matrix Product
Theta Functions
bosons
Exact Results
Riemann Surface
Twist
Partition Function
Harmonic
Prediction
partitions

Keywords

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

Cite this

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

In: Journal of Statistical Mechanics: Theory and Experiment, Vol. 2014, No. 1, P01008, 17.01.2014.

Research output: Contribution to journalArticle

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