General Lieb-Schultz-Mattis type theorems for quantum spin chains

DOI10.1007/s00220-021-04116-9zbMath1467.82023arXiv2004.06458OpenAlexW3017100276WikidataQ113906021 ScholiaQ113906021MaRDI QIDQ2035911

Yuji Tachikawa, Yoshiko Ogata, Hal Tasaki

Publication date: 2 July 2021

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

Full work available at URL: https://arxiv.org/abs/2004.06458

zbMATH Keywords

quantum spin chainsLieb-Schultz-Mattis type theorems

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Applications of functional analysis in statistical physics (46N55) Statistical mechanics in condensed matter (general) (82D03)

Related Items (5)

The split and approximate split property in 2D systems: stability and absence of superselection sectors ⋮ Rigorous index theory for one-dimensional interacting topological insulators ⋮ Ground state degeneracy on torus in a family of ZN toric code ⋮ Stability of the bulk gap for frustration-free topologically ordered quantum lattice systems ⋮ Classification of gapped ground state phases in quantum spin systems

Cites Work

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• On moduli spaces of flat connections with non-simply connected structure group
• Unitary representations of group extensions. I
• Irreducible multiplier corepresentations and generalized inducing
• Geometric aspects of quantum spin states
• Quantum information meets quantum matter. From quantum entanglement to topological phases of many-body systems
• Lieb-Schultz-Mattis theorem with a local twist for general one-dimensional quantum systems
• Lieb-Schultz-Mattis type theorems for quantum spin chains without continuous symmetry
• A many-body index for quantum charge transport
• A \(\mathbb{Z}_2\)-index of symmetry protected topological phases with time reversal symmetry for quantum spin chains
• Two soluble models of an antiferromagnetic chain
• A multi-dimensional Lieb-Schultz-Mattis theorem
• Projective unitary antiunitary representations of locally compact groups
• BOUNDEDNESS OF ENTANGLEMENT ENTROPY AND SPLIT PROPERTY OF QUANTUM SPIN CHAINS
• Almost commuting elements in compact Lie groups
• Physics and Mathematics of Quantum Many-Body Systems
• An area law for one-dimensional quantum systems
• A classification of pure states on quantum spin chains satisfying the split property with on-site finite group symmetries
• The split property and the symmetry breaking of the quantum spin chain.

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