Atom-molecule coherence in a one-dimensional system

Details Atom-molecule coherence in a one-dimensional system Atom-molecule coherence in a one-dimensional system

2005-05-30

arxiv.org/abs/cond-mat/0505706v3

Phys. Rev. Lett. 95, 130402 (2005)

Physics

Condensed Matter

Other Condensed Matter

5 pages, no figures, Revtex 4; (v2) added a reference to cond-mat/0505681 where related results are reported; (v3) Expression

Scientific paper

10.1103/PhysRevLett.95.130402

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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