Spin structures of spin-1 bosonic atoms trapped in an optical lattice with harmonic confinement
Spin structures of spin-1 bosonic atoms trapped in an optical lattice with harmonic confinement
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被谐波限制的光学晶格中捕获的自旋 1 玻色子原子的自旋结构
DOI：
10.1103/physreva.76.023606
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发表时间：
2007
影响因子：
2.9
通讯作者：
M. Jack
中科院分区：
文献类型：
--
作者：
M. Yamashita;M. Jack
研究了禁闭在一维光学晶格中的自旋为1的玻色子原子的基态性质。我们发展了一种基于Gutzveler近似的高效数值方法来计算由简谐禁闭势引起的非均匀磁相。研究了从超流体到Mott绝缘体的量子相变，分别考虑了反铁磁相互作用和铁磁相互作用。结果表明，晶格格位上的局域自旋分布随形成特征结构的相互作用强度的变化而变化，这与格位上的平均原子数密切相关。对于反铁磁的情况，我们发现从超流的极性凝聚体到Mott绝缘体的磁区存在交叉，每个磁区由一个自旋-单重态对或一个自旋组成。
We study the ground-state properties of spin-1 bosonic atoms trapped in a one-dimensional optical lattice with harmonic confinement. We have developed a highly efficient numerical method based on the Gutzwiller approximation to clarify the inhomogeneous magnetic phases induced by the harmonic confining potential. A quantum phase transition from a superfluid to a Mott insulator is examined for the respective cases with antiferromagnetic and ferromagnetic interactions. It is shown that the profile of local spins over the lattice sites changes as a function of the interaction strength forming the characteristic structures, which closely correlates with the average number of atoms at the sites. For antiferromagnetic cases, we find that there is a crossover from a superfluid polar condensate to Mott-insulator domains consisting of either a spin-singlet pair or a single spin at each site.