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

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

2008-07-14

arxiv.org/abs/0807.2154v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, 6 pages

Scientific paper

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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