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- W3171180886 abstract "We extend the classification of approximately locality-preserving unitaries (ALPUs) on spin chains recently obtained by [1] to take a local symmetry action of a finite symmetry group G into account. We classify such equivariant ALPUs up to strongly continuous deformation and allowing to `stack' with auxiliary spin chains. We find that the equivalence classes are uniquely labelled by a chiral index taking values in a discrete subset of $mathbb{R}$, and a cohomology index taking values in the second cohomology group $H^2(G, U(1))$. We discuss the relation of this cohomology index to the index for one-dimensional symmetry protected topological (SPT) phases, which also takes values in $H^2(G, U(1))$." @default.
- W3171180886 created "2021-06-22" @default.
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- W3171180886 date "2021-06-03" @default.
- W3171180886 modified "2023-09-27" @default.
- W3171180886 title "Classification of equivariant approximately locality-preserving unitaries on spin chains" @default.
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