String order and symmetries in quantum spin lattices
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 o...
| Autores: | , , , , |
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| Formato: | artículo |
| Fecha de publicación: | 2008 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/50312 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/50312 |
| Access Level: | acceso abierto |
| Palavra-chave: | 530.145 Teoría de los quanta 2210.23 Teoría Cuántica |
| Resumo: | 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. |
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