2006/01/31 by Robert Weston
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Quantum Information and Cryptography #Quantum many-body systems #cond-mat.stat-mech #hep-th #math-ph #math.MP #msc:81R10 #msc:81T40 #msc:82B23 #quant-ph
paper · pdf · doi:10.1088/1742-5468/2006/03/l03002
published as J.Stat.Mech.0603:L03002,2006 · 6 pages; connection with boundary entropy of Affleck and Ludwig added in revised version and notation slightly changed
arxiv created 2006/03/15 · openalex publication_date 2006/03/31 · arxiv updated 2011/02/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
We consider the spin κ/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 ξ is the correlation length and c κ = 3κ/(κ+2) is the central charge associated with the Wess–Zumino–Witten (WZW) model at level κ. 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.