String order and symmetries in quantum spin lattices.

@article{PrezGarca2008StringOA,
  title={String order and symmetries in quantum spin lattices.},
  author={D. P{\'e}rez-Garc{\'i}a and M. Wolf and M. Sanz and F. Verstraete and J. Cirac},
  journal={Physical review letters},
  year={2008},
  volume={100 16},
  pages={
          167202
        }
}
We show that the existence of string order in a given quantum state is intimately related to the presence of a local symmetry by proving that both concepts are equivalent within the framework of finitely correlated states. Once this connection is established, we provide a complete characterization of local symmetries in these states. The results allow us to understand in a straightforward way many of the properties of string order parameters, like their robustness or fragility under… Expand

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