Density-functional theory for the spin-1 bosons in a one-dimensional harmonic trap

Density-functional theory for the spin-1 bosons in a one-dimensional harmonic trap
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一维谐波陷阱中自旋 1 玻色子的密度泛函理论

DOI:
10.1103/physreva.88.023626
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发表时间:
2013-04
期刊:
影响因子:
2.9
通讯作者:
Zhang, Yunbo
Zhang, Yunbo
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Wang, Hongmei;Zhang, Yunbo

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提出了具有密度-密度排斥相互作用和反铁磁自旋交换相互作用的一维基态自旋1玻色子的密度泛函理论。通过求解基于局域密度近似和Bethe近似的均匀系统的Kohn-Sham方程,得到了不同相互作用参数下自旋单重态配对玻色子和不同总极化度的极化玻色子的密度分布.中心密度的非单调性归因于密度相互作用和自旋交换之间的竞争。结果表明,在强相互作用下,成对玻色子和极化玻色子的密度分布分别接近玻色-玻色对的Tonks-Girardeau气体和标量玻色子的密度分布。给出了强相互作用下的径向极化相图,并找到了临界极化,为在实验上直接观察旋量气体中的奇异单重态配对铺平了道路。
We propose the density-functional theory for one-dimensional harmonically trapped spin-1 bosons in the ground state with repulsive density-density interaction and antiferromagnetic spin-exchange interaction. The density distributions of spin-singlet-paired bosons and polarized bosons with different total polarization for various interaction parameters are obtained by solving the Kohn-Sham equations, which are derived based on the local density approximation and the Bethe ansatz exact results for a homogeneous system. Nonmonotonicity of the central densities is attributed to the competition between the density interaction and spin-exchange. The results reveal the phase separation of the paired and polarized bosons, the density profiles of which respectively approach the Tonks-Girardeau gases of Bose-Bose pairs and scalar bosons in the case of strong interaction. We give the radius-polarization phase diagram at strong interaction and find the critical polarization, which paves the way to directly observe the exotic singlet pairing in spinor gas experimentally.
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