Local characterization of one-dimensional topologically ordered states
We consider one-dimensional Hamiltonian systems whose ground states display symmetry-protected topological order. We show that ground states within the topological phase cannot be connected with each other through local operations and classical communication between a bipartition of the system. Our...
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| Veröffentlicht in: | Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2013-09, Vol.88 (12), Article 125117 |
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| container_title | Physical review. B, Condensed matter and materials physics |
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| creator | Cui, Jian Amico, Luigi Fan, Heng Gu, Mile Hamma, Alioscia Vedral, Vlatko |
| description | We consider one-dimensional Hamiltonian systems whose ground states display symmetry-protected topological order. We show that ground states within the topological phase cannot be connected with each other through local operations and classical communication between a bipartition of the system. Our claim is demonstrated by analyzing the entanglement spectrum and Renyi entropies of different physical systems that provide examples for symmetry-protected topological phases. Specifically, we consider the spin-1/2 cluster-Ising model and a class of spin-1 models undergoing quantum phase transitions to the Haldane phase. Our results provide a probe for symmetry-protected topological order. Since the picture holds even at the system's local scale, our analysis can serve as a local experimental test for topological order. |
| doi_str_mv | 10.1103/PhysRevB.88.125117 |
| format | Article |
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| ispartof | Physical review. B, Condensed matter and materials physics, 2013-09, Vol.88 (12), Article 125117 |
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| language | eng |
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| source | American Physical Society Journals |
| subjects | Communication systems Condensed matter Entanglement Entropy (Information) Ground state Phase transformations Pictures Topology |
| title | Local characterization of one-dimensional topologically ordered states |
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