期刊
PHYSICAL REVIEW LETTERS
卷 124, 期 10, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.124.100402
关键词
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资金
- European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme through the ERC Starting Grant WASCOSYS [636201]
- European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme through the ERC Advanced Grant QENOCOBA [742102]
- Deutsche Forschungsgemeinschaft (DFG) [EXC-2111-390814868]
We prove that matrix-product unitaries with on-site unitary symmetries are completely classified by the (chiral) index and the cohomology class of the symmetry group G, provided that we can add trivial and symmetric ancillas with arbitrary on-site representations of G. If the representations in both system and ancillas are fixed to be the same, we can define symmetry-protected indices (SPIs) which quantify the imbalance in the transport associated to each group element and greatly refines the classification. These SPIs are stable against disorder and measurable in interferometric experiments. Our results lead to a systematic construction of two-dimensional Floquet symmetry-protected topological phases beyond the standard classification, and thus shed new light on understanding nonequilibrium phases of quantum matter.
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