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arXiv · 0807.2154

Exact results of two-component Fermi gas in a hard wall trap

Bo-Bo Wei·Jun-Peng Cao·Shi-Jian Gu·Hai-Qing Lin
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Abstract

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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Bo-Bo Wei, Jun-Peng Cao, Shi-Jian Gu, Hai-Qing Lin. 2008-07-14. Exact results of two-component Fermi gas in a hard wall trap. https://arxiv.org/abs/0807.2154

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