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Higher structures in matrix product states
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DOI：10.1103/PhysRevB.109.115152.png)
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摘要
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For a parameterized family of invertible states (short-range-entangled states) in (1 + 1) dimensions, we discuss a generalization of the Berry phase. Using translationally invariant, infinite matrix product states (MPSs), we introduce a gerbe structure, a higher generalization of complex line bundles, as an underlying mathematical structure describing topological properties of a parameterized family of MPSs. Furthermore, we introduce a generalization of a quantum mechanical inner product, which we call the triple inner product, defined for three matrix product states. The triple inner product proves to extract a topological invariant, the Dixmier-Douady class over the parameter space.
Keyword:
BOUNDARY-CONDITIONS
QUANTIZATION
INVARIANT
FUSION
期刊
IF:
3.7
论文数:
15.4W
被引数:
41.0W
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