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Classification of gapped ground state phases in quantum spin systems

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arxiv 2110.04675 v1 pith:YI5OYUAU submitted 2021-10-10 math-ph math.MP

Yoshiko Ogata This is my paper · ORCID
classification math-phmath.MP
keywords classificationgappedgroundphasesproblemsquantumstatealgebraic
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Recently, classification problems of gapped ground state phases attract a lot of attention in quantum statistical mechanics. We explain about our operator algebraic approach to these problems.

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  1. Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry

    cond-mat.str-el 2024-12 conditional novelty 6.0 of 10

    Anomaly-free fusion category symmetries have a canonical trivial phase, and the three Rep†(D8) symmetry-protected topological phases are explicitly realized by Q-system lattice models connected by an S3 duality.

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