The entanglement entropy of solvable lattice models

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21 Citations (Scopus)

Abstract

We consider the spin ?/2 analogue of the XXZ quantum spin chain. We compute the entanglement entropy S associated with splitting the infinite chain into two semi-infinite pieces. In the scaling limit, we find . Here ? is the correlation length and c? = 3?/(?+2) is the central charge associated with the Wess-Zumino-Witten (WZW) model at level ?. ln(g) is the boundary entropy of the WZW model. Our result extends previous observations and suggests that this is a simple and perhaps rather general way both of extracting the central charge of the ultraviolet conformal field theory (CFT) associated with the scaling limit of a solvable lattice model, and of matching lattice and CFT boundary conditions. © IOP Publishing Ltd and SISSA.

Original languageEnglish
Pages (from-to)9-15
Number of pages7
JournalJournal of Statistical Mechanics: Theory and Experiment
Issue number3
DOIs
Publication statusPublished - 1 Mar 2006

Keywords

  • Algebraic structures of integrable models
  • Entanglement in extended quantum systems (theory)
  • Integrable spin chains (vertex models)
  • Solvable lattice models

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