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首页> 外文期刊>Physical review >Competition between three-sublattice order and superfluidity in the quantum three-state Potts model of ultracold bosons and fermions on a square optical lattice
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Competition between three-sublattice order and superfluidity in the quantum three-state Potts model of ultracold bosons and fermions on a square optical lattice

机译：正方形光学晶格上超冷玻色子和费米子的量子三态Potts模型中三子晶格序和超流之间的竞争

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摘要

We study a quantum version of the three-state Potts model that includes as special cases the effective models of bosons and fermions on the square lattice in the Mott-insulating limit. It can be viewed as a model of quantum permutations with amplitudes J_‖ and J_⊥ for identical and different colors, respectively. For J_‖ = J_⊥ ＞ 0 it is equivalent to the SU(3) Heisenberg model, which describes the Mott-insulating phase of 3-color fermions, while the parameter range J_⊥ ＜ min(0, - J_‖) can be realized in the Mott insulating phase of 3-color bosonic atoms. Using linear flavor wave theory, infinite projected entangled-pair states (iPEPS), and continuous-time quantum Monte Carlo simulations, we construct the full T = 0 phase diagram, and we explore the T ≠ 0 properties for J_⊥ ＜ 0. For dominant antiferromagnetic J_‖ interactions, a three-sublattice long-range ordered stripe state is selected out of the ground-state manifold of the antiferromagnetic Potts model by quantum fluctuations. Upon increasing |J_⊥|, this state is replaced by a uniform superfluid for J_⊥ ＜ 0, and by an exotic three-sublattice superfluid followed by a two-sublattice superfluid for J_⊥ ＞ 0. The transition out of the uniform superfluid (that can be realized with bosons) is shown to be a peculiar type of Kosterlitz-Thouless transition with three types of elementary vortices.
机译：我们研究了三态Potts模型的量子形式，其中包括在特殊情况下在Mott绝缘极限内方格上的玻色子和费米子的有效模型。可以将其视为分别针对相同和不同颜色，振幅分别为J_‖和J_⊥的量子排列模型。对于J_‖=J_⊥＞ 0，它等效于SU（3）Heisenberg模型，该模型描述了三色费米子的Mott绝缘相，而参数范围J_⊥＜min（0，-J_‖）可以是在3色玻色子原子的莫特绝缘相中实现。使用线性味波理论，无限投影纠缠对态（iPEPS）和连续时间量子蒙特卡洛模拟，我们构建了完整的T = 0相图，并探索了J_⊥＜0的T≠0性质。在主要反铁磁J_'相互作用中，通过量子涨落从反铁磁Potts模型的基态流形中选择了一个三子晶格的远距离有序条纹状态。当|J_⊥|增加时，该状态被J_⊥＜0的均匀超流体，奇异的三子格超流体和J_⊥＞ 0的两子格超流体所取代。可以用玻色子实现）是具有三种基本涡旋的一种独特的Kosterlitz-Thouless过渡。

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  • 来源
    《Physical review》 |2013年第15期|155106.1-155106.9|共9页
  • 作者

    Laura Messio; Philippe Corboz; Frederic Mila;

  • 作者单位

    Institut de Physique Theorique (IPhT), CEA, CNRS, URA 2306, F-91191 Gif-sur-Yvette, France;

    Theoretische Physik, ETH Zurich, 8093 Zurich, Switzerland;

    Institute of Theoretical Physics, Ecole Polytechnique Federate de Lausanne (EPFL), CH-1015 Lausanne, Switzerland;

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  • 原文格式 PDF
  • 正文语种 eng
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  • 关键词

    quantized spin models; computational techniques;

    机译：量化自旋模型计算技术;

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