RT Journal Article
T1 String order and symmetries in quantum spin lattices
A1 Pérez García, David
A1 Wolf, M.M.
A1 Sanz, M.
A1 Verstraete, F.
A1 Cirac, J.I.
AB 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 perturbations and their typical disappearance beyond strictly one-dimensional lattices. We propose and discuss an alternative definition, ideally suited for detecting phase transitions, and generalizations to two and more spatial dimensions.
PB The American Physical Society
SN 0031-9007
YR 2008
FD 2008-04-25
LK https://hdl.handle.net/20.500.14352/50312
UL https://hdl.handle.net/20.500.14352/50312
LA eng
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NO DFG
DS Docta Complutense
RD 2 may 2024