String order and symmetries in quantum spin lattices

Autor(en)

David Pérez-Garcia, Michael M. Wolf, Maria Sanz, Frank Verstraete, J. Ignacio Cirac

Abstrakt

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.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Universidad Complutense De Madrid, Max-Planck-Institut für Quantenoptik, Universitat Autònoma de Barcelona

Journal

Physical Review Letters

Band

100

Anzahl der Seiten

4

ISSN

0031-9007

DOI

https://doi.org/10.1103/PhysRevLett.100.167202

Publikationsdatum

04-2008

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/03f7cc90-9aa6-49ed-b0ee-f92f3bfb201d