The entanglement entropy of solvable lattice models

DOI10.1088/1742-5468/2006/03/L03002zbMath1456.82324arXivmath-ph/0601038MaRDI QIDQ4968356

Robert A. Weston

Publication date: 12 July 2019

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0601038

zbMATH Keywords

solvable lattice modelsintegrable spin chains (vertex models)algebraic structures of integrable modelsentanglement in extended quantum systems (theory)

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Entanglement content of quantum particle excitations. I: Free field theory, Branch point twist field correlators in the massive free Boson theory, Entanglement spectrum degeneracy and the Cardy formula in 1+1 dimensional conformal field theories, Corrections to scaling for block entanglement in massive spin chains, Entanglement negativity in extended systems: a field theoretical approach, Entanglement entropy of non-unitary integrable quantum field theory, Entanglement content of quantum particle excitations. II: Disconnected regions and logarithmic negativity, Negativity spectrum in 1D gapped phases of matter

Cites Work

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• A finite entanglement entropy and the c-theorem
• Infinite-dimensional Lie algebras, theta functions and modular forms
• One-dimensional configuration sums in vertex models and affine Lie algebra characters
• Geometric and renormalized entropy in conformal field theory
• Density Matrix Renormalization Group Method for 2D Classical Models
• Universal noninteger ‘‘ground-state degeneracy’’ in critical quantum systems