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Atom-molecule coherence in a one-dimensional system

R. Citro·E. Orignac
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Abstract

We study a model of one-dimensional fermionic atoms that can bind in pairs to form bosonic molecules. We show that at low energy, a coherence develops between the molecule and fermion Luttinger liquids. At the same time, a gap opens in the spin excitation spectrum. The coherence implies that the order parameters for the molecular Bose-Einstein Condensation and the atomic BCS pairing become identical. Moreover, both bosonic and fermionic charge density wave correlations decay exponentially, in contrast with a usual Luttinger liquid. We exhibit a Luther-Emery point where the systems can be described in terms of noninteracting pseudofermions. At this point, we provide closed form expressions for the density-density response functions.

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R. Citro, E. Orignac. 2005-10-02. Atom-molecule coherence in a one-dimensional system. https://doi.org/10.1103/physrevlett.95.130402

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