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Topological Quantum Computing
Open Quantum Systems Decoherence
Quantum Simulation
C1-classification of gapped parent Hamiltonians of quantum spin chains
arXiv
Authors: Sven Bachmann, Yoshiko Ogata
Year
2014
Paper ID
8308
Status
Preprint
Abstract Read
~2 min
Abstract Words
77
Citations
N/A
Abstract
We consider the C1-classification of gapped Hamiltonians introduced in [Fannes-Nachtergaele-Werner, Nachtergaele] as parents Hamiltonians of translation invariant finitely correlated states. Within this family, we show that the number of edge modes, which is equal at the left and right edge, is the complete invariant. The construction proves that translation invariance of the `bulk' ground state does not need to be broken to establish C1-equivalence, namely that the spin chain does not need to be blocked.
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- We consider the C^1-classification of gapped Hamiltonians introduced in [Fannes-Nachtergaele-Werner, Nachtergaele] as parents Hamiltonians of translation invariant finitely...
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