RT Journal Article
T1 Order Parameter for Symmetry-Protected Phases in One Dimension
A1 Haegeman, Jutho
A1 Pérez García, David
A1 Cirac, Ignacio
A1 Schuch, Norbert
AB 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.
PB American Physical Society
SN 0031-9007
YR 2012
FD 2012-08-03
LK https://hdl.handle.net/20.500.14352/42453
UL https://hdl.handle.net/20.500.14352/42453
LA eng
NO Unión Europea. FP7
NO Comunidad de Madrid
NO The Alexander von Humboldt Foundation
NO The Caltech Institute for Quantum Information and Matter
NO NSF Physics Frontiers Center
NO Gordon and Betty Moore Foundation
DS Docta Complutense
RD 6 abr 2025