



01535nas a2200193   4500008004100000245005200041210005100093260001500144300001100159490000700170520099900177100001901176700002701195700001301222700002201235700002301257700002501280856003601305       2016                        eng d00aTopological phases with long-range interactions0 aTopological phases with longrange interactions  c2016/01/08  a0411020 v933 a  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.
1 aGong, Zhe-Xuan1 aMaghrebi, Mohammad, F.1 aHu, Anzi1 aWall, Michael, L.1 aFoss-Feig, Michael1 aGorshkov, Alexey, V.  uhttp://arxiv.org/abs/1505.03146