String order and symmetries in quantum spin lattices



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Pérez García, David and Wolf, M.M. and Sanz, M. and Verstraete, F. and Cirac, J.I. (2008) String order and symmetries in quantum spin lattices. Physical Review Letters, 100 . pp. 167202-1. ISSN 0031-9007

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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.

Item Type:Article
Subjects:Sciences > Physics > Quantum theory
ID Code:17827
Deposited On:21 Jan 2013 15:09
Last Modified:09 Dec 2014 09:01

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