Kosaki-Longo index and classification of charges in 2D quantum spin models

DOI10.1063/1.4818272zbMath1295.81119arXiv1303.4420OpenAlexW2010917489MaRDI QIDQ5407662

Pieter Naaijkens

Publication date: 7 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4420

zbMATH Keywords

superselection sectorsanyonsmodular tensor categorytoric codevon Neumann factorquasiparticle excitationsinterchange statisticsVerlinde's \(S\)-matrix

Mathematics Subject Classification ID

Quantum computation (81P68) Applications of selfadjoint operator algebras to physics (46L60) Topological field theories in quantum mechanics (81T45) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (10)

The split and approximate split property in 2D systems: stability and absence of superselection sectors ⋮ An algebraic quantum field theoretic approach to toric code with gapped boundary ⋮ On Landauer's principle and bound for infinite systems ⋮ On gapped phases with a continuous symmetry and boundary operators ⋮ Kitaev’s Quantum Double Model from a Local Quantum Physics Point of View ⋮ On the stability of charges in infinite quantum spin systems ⋮ Spatial decay of Kubo's canonical correlation functions ⋮ Homological codes and abelian anyons ⋮ Subfactors and quantum information theory ⋮ A converse to Lieb-Robinson bounds in one dimension using index theory

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