Spectral gap, and split property in quantum spin chains

DOI10.1063/1.3285046zbMath1417.82006arXiv0808.1537OpenAlexW2079590151MaRDI QIDQ3580902

Taku Matsui

Publication date: 13 August 2010

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

Full work available at URL: https://arxiv.org/abs/0808.1537

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of functional analysis in quantum physics (46N50)

Related Items (7)

The split and approximate split property in 2D systems: stability and absence of superselection sectors ⋮ LOCALIZED ENDOMORPHISMS IN KITAEV'S TORIC CODE ON THE PLANE ⋮ Haag duality and the distal split property for cones in the toric code ⋮ Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms ⋮ Automorphic equivalence preserves the split property ⋮ BOUNDEDNESS OF ENTANGLEMENT ENTROPY AND SPLIT PROPERTY OF QUANTUM SPIN CHAINS ⋮ Quasi-locality bounds for quantum lattice systems. II: perturbations of frustration-free spin models with gapped ground states

Cites Work

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