One dimensional gapped quantum phases and enriched fusion categories
نویسندگان
چکیده
In this work, we use Ising chain and Kitaev to check the validity of an earlier proposal in arXiv:2011.02859 that enriched fusion (higher) categories provide a unified categorical description all gapped/gapless quantum liquid phases, including symmetry-breaking topological orders, SPT/SET orders certain gapless phases. particular, show explicitly that, each gapped phase realized by these two models, spacetime observables form category braided category. We also study descriptions boundaries models. end, classification 1-dimensional (the spatial dimension) phases with finite onsite symmetry.
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2022
ISSN: ['1127-2236', '1126-6708', '1029-8479']
DOI: https://doi.org/10.1007/jhep03(2022)022