%0 Journal Article
%T Topological phases with long-range interactions
%A Zhe-Xuan Gong
%A Mohammad F. Maghrebi
%A Anzi Hu
%A Michael L. Wall
%A Michael Foss-Feig
%A Alexey V. Gorshkov
%J Physics
%D 2015
%I arXiv
%X Topological phases of matter are primarily studied in quantum many-body systems with short-range interactions. Whether various topological phases can survive in the presence of long-range interactions, however, is largely unknown. Here we show that a paradigmatic example of a symmetry-protected topological phase, the Haldane phase of an antiferromagnetic spin-1 chain, surprisingly remains intact in the presence of arbitrarily slowly decaying power-law interactions. The influence of long-range interactions on the topological order is largely quantitative, and we expect similar results for more general systems. Our conclusions are based on large-scale matrix-product-state simulations and two complementary effective-field-theory calculations. The striking agreement between the numerical and analytical results rules out finite-size effects. The topological phase considered here should be experimentally observable in a recently developed trapped-ion quantum simulator.
%U http://arxiv.org/abs/1505.03146v1