



@article {1191,
	title = {Topological phases with long-range interactions},
	journal = {Physical Review B},
	volume = {93},
	year = {2016},
	month = {2016/01/08},
	pages = {041102},
	abstract = {  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.
},
	doi = {10.1103/PhysRevB.93.041102},
	url = {http://arxiv.org/abs/1505.03146},
	author = {Zhe-Xuan Gong and Mohammad F. Maghrebi and Anzi Hu and Michael L. Wall and Michael Foss-Feig and Alexey V. Gorshkov}
}
