Local characterization of one-dimensional topologically ordered states

Journal article

We consider one-dimensional Hamiltonian systems whose ground states display symmetry-protected topological order. We show that ground states within the topological phase cannot be connected with each other through local operations and classical communication between a bipartition of the system. Our claim is demonstrated by analyzing the entanglement spectrum and Rényi entropies of different physical systems that provide examples for symmetry-protected topological phases. Specifically, we consider the spin-1/2 cluster-Ising model and a class of spin-1 models undergoing quantum phase transitions to the Haldane phase. Our results provide a probe for symmetry-protected topological order. Since the picture holds even at the system's local scale, our analysis can serve as a local experimental test for topological order. © 2013 American Physical Society.

Authors: Cui, J; Amico, L; Fan, H; Gu, M; Hamma, A

• Publication status: Published
• Journal: Physical Review B
• Volume: 88
• Issue: 12
• Publication date: 2013-09-11
• DOI: 10.1103/PhysRevB.88.125117
• EISSN: 1550-235X
• ISSN: 1098-0121
• Language: English