SPT indices emerging from translation invariance in two-dimensional quantum spin systems

DOI10.1007/s00220-023-04875-7arXiv2202.11758OpenAlexW4391023004WikidataQ129728626 ScholiaQ129728626MaRDI QIDQ6143303

Tijl Jappens

Publication date: 23 January 2024

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

Full work available at URL: https://arxiv.org/abs/2202.11758

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

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• Operator methods in mathematical physics. Conference on operator theory, analysis and mathematical physics (OTAMP) 2010, Bedlewo, Poland
• A classification of invertible phases of bosonic quantum lattice systems in one dimension
• An -valued index of symmetry-protected topological phases with on-site finite group symmetry for two-dimensional quantum spin systems
• Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms
• A classification of pure states on quantum spin chains satisfying the split property with on-site finite group symmetries

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