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- W4224069107 abstract "We study frustration-free Hamiltonians of fractional quantum Hall (FQH) states from the point of view of the matrix product state (MPS) representation of their ground and excited states. There is a wealth of solvable models relating to FQH physics, which, however, is mostly derived and analyzed from the vantage point of first-quantized ``analytic clustering properties.'' In contrast, one obtains long-ranged frustration-free lattice models when these Hamiltonians are studied in an orbital basis, which is the natural basis for the MPS representation of FQH states. The connection between MPS-like states and frustration-free parent Hamiltonians is the central guiding principle in the construction of solvable lattice models, but thus far, only for short-range Hamiltonians and MPSs of finite bond dimension. The situation in the FQH context is fundamentally different. Here we expose the direct link between the infinite-bond-dimension MPS structure of Laughlin--conformal field theory (CFT) states and their parent Hamiltonians. While focusing on the Laughlin state, generalizations to other CFT-MPSs will become transparent." @default.
- W4224069107 created "2022-04-19" @default.
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- W4224069107 date "2022-04-15" @default.
- W4224069107 modified "2023-10-15" @default.
- W4224069107 title "Inner workings of fractional quantum Hall parent Hamiltonians: A matrix product state point of view" @default.
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- W4224069107 doi "https://doi.org/10.1103/physrevb.105.155124" @default.
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