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The weakening of fermionization of one dimensional spinor Bose gases induced by spin-exchange interaction

机译:自旋交换相互作用导致一维旋量玻色气体的铁离子化作用减弱

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We investigate the ground state density distributions of anti-ferromagnetic spin-1 Bose gases in a one dimensional harmonic potential in the full interacting regimes. The ground state is obtained by diagonalizing the Hamiltonian in the Hilbert space composed of the lowest eigenstates of noninteracting Bose gas and spin components. The study reveals that in the situation of a weak spin-dependent interaction the total density profiles evolve from a Gaussian-like distribution to a Fermi-like shell structure of N peaks with the increasing of spin-independent interaction. The increasing spin-exchange interaction always weakens the fermionization of the density distribution such that the total density profiles show the shell structure of less peaks and even show single peak structure in the limit of the strong spin-exchange interaction. The weakening of fermionization results from the formation of composite atoms induced by the spin-exchange interaction. It is also shown that phase separation occurs for the spinor Bose gas with a weak spin-exchange interaction, meanwhile the spin-independent interaction is strong.
机译:我们研究了在整个相互作用机制中一维谐波势中反铁磁自旋1 Bose气体的基态密度分布。基态是通过对希尔伯特空间中的哈密顿量进行对角化而得到的,希尔伯特空间由非相互作用的玻色气体和自旋分量的最低本征态组成。研究表明,在弱自旋依赖性相互作用的情况下,随着自旋无关相互作用的增加,总密度分布从高斯样分布演变为N峰的费米样壳结构。自旋交换相互作用的增加总是会削弱密度分布的铁离子化作用,因此在强自旋交换相互作用的范围内,总密度分布显示出较少峰的壳结构,甚至显示出单峰结构。铁离子化作用的减弱是由于自旋交换相互作用引起的复合原子的形成。还显示出自旋交换相互作用弱的自旋玻色气体发生相分离,而自旋独立相互作用很强。

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