Correlation Effects in a Trapped Bose-Fermi Mixture: Exact Results
- URL: http://arxiv.org/abs/2311.12192v1
- Date: Mon, 20 Nov 2023 21:18:36 GMT
- Title: Correlation Effects in a Trapped Bose-Fermi Mixture: Exact Results
- Authors: Ofir E. Alon and Lorenz S. Cederbaum
- Abstract summary: Many-body properties of a fermionic impurity embedded in a Bose-Einstein condensate are analyzed.
harmonic-interaction model for Bose-Fermi mixtures is used.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Many-body properties of a fermionic impurity embedded in a Bose-Einstein
condensate are analyzed analytically using a solvable model, the
harmonic-interaction model for Bose-Fermi mixtures. The one-particle and
two-particle densities, reduced density matrices, and correlation functions of
the fermions and bosons, both in position and momentum spaces, are prescribed
in closed form. The various coherence lengths are analyzed. We show that the
first-order coherence lengths in position and momentum spaces are equal whereas
the second-order quantities can differ substantially. Illustrative examples
where the sole interaction is between the impurity and the condensate are
presented. Implications are briefly discussed.
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