标题： 自旋交换相互作用引起的二维自旋玻色气体费米子化的减弱 显示英文标题

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

摘要： 我们研究了一维谐波势中反铁磁自旋-1玻色气体在全部相互作用区域的基态密度分布。 基态是通过在由非相互作用玻色气体最低本征态和自旋分量组成的希尔伯特空间中对角化哈密顿量得到的。 研究表明，在自旋依赖相互作用较弱的情况下，随着自旋无关相互作用的增加，总密度分布从高斯分布演化为具有$N$个峰的费米类似壳层结构。 而自旋交换相互作用的增加总是会削弱密度分布的费米化，使得总密度分布呈现出较少峰的壳层结构，甚至在强自旋交换相互作用极限下表现出单峰结构。 费米化的减弱是由于自旋交换相互作用诱导的复合原子的形成。 还表明，对于具有弱自旋交换相互作用的同时强自旋无关相互作用的自旋简并玻色气体会发生相分离。 显示英文摘要

摘要： We investigate the ground state density distributions of anti-ferromagnetic spin-1 Bose gases in 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 weak spin-dependent interaction the total density profiles evolve from Gaussian-like distribution to a Fermi-like shell structure of $N$ peaks with the increasing of spin-independent interaction. While the increasing spin-exchange interaction always weaken the fermionization of density distribution such that the total density profiles show shell structure of less peaks and even show single peak structure in the limit of strong spin-exchange interaction. The weakening of fermionization results from the formation of composite atoms induced by spin-exchange interaction. It is also shown that phase separation occurs for the spinor Bose gas with weak spin-exchange interaction, meanwhile strong spin-independent interaction.