%0 Journal Article
%J Physical Review B
%D 2016
%T Kaleidoscope of quantum phases in a long-range interacting spin-1 chain
%A Zhe-Xuan Gong
%A Mohammad F. Maghrebi
%A Anzi Hu
%A Michael Foss-Feig
%A Philip Richerme
%A Christopher Monroe
%A A V Gorshkov
%X Motivated by recent trapped-ion quantum simulation experiments, we carry out a comprehensive study of the phase diagram of a spin-1 chain with XXZ-type interactions that decay as 1/rα, using a combination of finite and infinite-size DMRG calculations, spin-wave analysis, and field theory. In the absence of long-range interactions, varying the spin-coupling anisotropy leads to four distinct phases: a ferromagnetic Ising phase, a disordered XY phase, a topological Haldane phase, and an antiferromagnetic Ising phase. If long-range interactions are antiferromagnetic and thus frustrated, we find primarily a quantitative change of the phase boundaries. On the other hand, ferromagnetic (non-frustrated) long-range interactions qualitatively impact the entire phase diagram. Importantly, for α≲3, long-range interactions destroy the Haldane phase, break the conformal symmetry of the XY phase, give rise to a new phase that spontaneously breaks a U(1) continuous symmetry, and introduce an exotic tricritical point with no direct parallel in short-range interacting spin chains. We show that the main signatures of all five phases found could be observed experimentally in the near future.
%B Physical Review B
%V 93
%P 205115
%8 2016/05/11
%G eng
%U http://arxiv.org/abs/1510.02108
%N 20
%R http://dx.doi.org/10.1103/PhysRevB.93.205115