2026-06-29T01:27:32Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/503122023-08-26T01:04:52Zcom_20.500.14352_14col_20.500.14352_15

String order and symmetries in quantum spin lattices Pérez García, David Wolf, M.M. Sanz, M. Verstraete, F. Cirac, J.I. 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. 2023-06-20T09:45:32Z 2023-06-20T09:45:32Z 2023-06-20T09:45:32Z 2008-04-25 journal article https://hdl.handle.net/20.500.14352/50312 0031-9007 10.1103/PhysRevLett.100.167202 eng DFG (No. FOR 635, MAP and NIM) EU project SCALA (MTM2005-00082) open access The American Physical Society