Order Parameter for Symmetry-Protected Phases in One Dimension

Autor(en)

Jutho Haegeman, David Pérez-Garcia, J. Ignacio Cirac, Norbert Schuch

Abstrakt

We introduce an order parameter for symmetry-protected phases in one dimension which allows us to directly identify those phases. The order parameter consists of stringlike operators and swaps, but differs from conventional string order operators in that it only depends on the symmetry but not on the state. We verify our framework through numerical simulations for the SO(3) invariant spin-1 bilinear-biquadratic model which exhibits a dimerized and a Haldane phase, and find that the order parameter not only works very well for the dimerized and the Haldane phase, but it also returns a distinct signature for gapless phases. Finally, we discuss possible ways to measure the order parameter in experiments with cold atoms.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Universidad Complutense De Madrid, Max-Planck-Institut für Quantenoptik, California Institute of Technology (Caltech)

Journal

Physical Review Letters

Band

109

Anzahl der Seiten

5

ISSN

0031-9007

DOI

https://doi.org/10.1103/PhysRevLett.109.050402

Publikationsdatum

2012

Peer-reviewed

Ja

ÖFOS 2012

103026 Quantenoptik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/ab99f3ae-edfd-4d97-bfba-e9845f23b03c