论文标题

光学晶格中旋转碱和碱 - 地球原子的磁性

Magnetisms of spinor alkali and alkaline-earth atoms in optical lattices

论文作者

Tan, Hui, Han, Jinsen, Yuan, Jianmin, Li, Yongqiang

论文摘要

我们从理论上研究了三维光学晶格中自旋1(碱原子)和Spin-0(碱 - 地原子)玻色子的零温度磁有序。使用Spin-1玻色子的单模近似值,我们获得了一个有效的玻色式模型模型,用于描述光学晶格中的异核混合物。通过控制碱和碱 - 地球原子之间的种间相互作用,我们基于基于玻感动力学的均值场理论,绘制了具有阳性和负依赖性自旋相互作用的系统的完整相图。我们发现,根据依赖自旋依赖性的相互作用,自旋-1分量除了超流体外,还具有铁磁性和列神经绝缘阶段。以Spin-1 Alkali Bosons为Spin $ \ UPARROW $,将Spin-0碱性玻色子作为Spin $ \ downarrow $,我们观察到,该系统有利于填充$ n = 1 $的铁磁绝缘子,并在$ n = 2 $ n = 2 $中使用$ n = 1 $。有趣的是,由于碱和碱 - 地球原子之间的巨大失衡,我们观察到了两步的莫特构造 - 卵形相变。

We theoretically investigate zero-temperature magnetic ordering of mixtures of spin-1 (alkali atoms) and spin-0 (alkaline-earth atoms) bosons in a three-dimensional optical lattice. With the single-mode approximation for the spin-1 bosons, we obtain an effective Bose-Hubbard model for describing the heteronuclear mixtures in optical lattices. By controlling the interspecies interactions between alkali and alkaline-earth atoms, we map out complete phase diagrams of the system with both positive and negative spin-dependent interactions for spin-1 atoms, based on bosonic dynamical mean-field theory. We find that the spin-1 components feature ferromagnetic and nematic insulating phases, in addition to the superfluid, depending on spin-dependent interactions. Take the spin-1 alkali bosons as spin $\uparrow$, and spin-0 alkaline-earth bosons as spin $\downarrow$, we observe that the system favors ferromagnetic insulator at filling $n=1$, and unorder insulator at $n=2$. Interestingly, we observe a two-step Mott-insulating-superfluid phase transition, as a result of mass imbalance between alkali and alkaline-earth atoms.

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