Title | Kaleidoscope of quantum phases in a long-range interacting spin-1 chain |

Publication Type | Journal Article |

Year of Publication | 2016 |

Authors | Gong, Z-X, Maghrebi, MF, Hu, A, Foss-Feig, M, Richerme, P, Monroe, C, Gorshkov, AV |

Journal | Physical Review B |

Volume | 93 |

Issue | 20 |

Pages | 205115 |

Date Published | 2016/05/11 |

Abstract | 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. |

URL | http://arxiv.org/abs/1510.02108 |

DOI | 10.1103/PhysRevB.93.205115 |