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Creators/Authors contains: "Wen, Xiao"

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  1. ; (, Physical Review B)
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  2. ; (, Physical Review B)
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  3. ; ; ; (, Communications in Mathematical Physics)
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  4. ; (, Physical Review B)
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  5. ; (, Physical Review B)
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  6. ; ; ; ; ; (, Transportation Research Part C: Emerging Technologies)
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  7. ; ; (, Journal of High Energy Physics)
    A bstract In this work, we use Ising chain and Kitaev chain to check the validity of an earlier proposal in arXiv:2011.02859 that enriched fusion (higher) categories provide a unified categorical description of all gapped/gapless quantum liquid phases, including symmetry-breaking phases, topological orders, SPT/SET orders and CFT-type gapless quantum phases. In particular, we show explicitly that, in each gapped phase realized by these two models, the spacetime observables form a fusion category enriched in a braided fusion category such that its monoidal center is trivial. We also study the categorical descriptions of the boundaries of these models. In the end, we obtain a classification of and the categorical descriptions of all 1-dimensional (spatial dimension) gapped quantum phases with a bosonic/fermionic finite onsite symmetry. 
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  8. (, Physical Review B)
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  9. ; (, Physical Review B)
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  10. (, Physical Review Research)
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