硬壁阱中双组分费米气体的精确结果
Exact results of two-component Fermi gas in a hard wall trap
摘要:
研究了无限深势阱中一维二元超冷费米气体的基态性质。用Bethe精确解计算了系统的多体波函数。在此基础上,我们计算了不同相互作用强度下系统的单粒子约化密度矩阵和双粒子密度关联。发现强相互作用二组分费米气体的动量密度分布与自由无自旋费米气体的动量密度分布不同,但它们的位置密度分布相似。这种相互作用的系统可以通过实验使用超冷原子来实现。
英文摘要:
We investigate the ground state properties of a one-dimensional two-component ultra-cold Fermi gas in an infinite potential well. Exact Bethe ansatz solution is used to calculate the many-body wave function of the system. Then we evaluate the single-particle reduced density matrix and two-particle density density correlations of the system for different interaction strengths. We find that the momentum density distributions of the strongly interacting two-component Fermi gas is distinct from that of free spinless Fermi gas although their position density distributions are similar. This interacting system may be experimentally accessible using ultra-cold atoms.
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