Atom-molecule coherence in a one-dimensional system

dc.creatorCitro, R.
dc.creatorOrignac, E.
dc.date2005-05-30
dc.date2005-10-02
dc.date.accessioned2026-07-07T06:20:20Z
dc.date.available2026-07-07T06:20:20Z
dc.descriptionWe 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.
dc.description5 pages, no figures, Revtex 4; (v2) added a reference to cond-mat/0505681 where related results are reported; (v3) Expression of correlation functions given in terms of generalized hypergeometric functions
dc.identifierhttps://arxiv.org/abs/cond-mat/0505706
dc.identifierhttp://arxiv.org/abs/cond-mat/0505706
dc.identifierPhys. Rev. Lett. 95, 130402 (2005)
dc.identifierdoi:10.1103/PhysRevLett.95.130402
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95300
dc.subjectOther Condensed Matter
dc.subjectSuperconductivity
dc.titleAtom-molecule coherence in a one-dimensional system
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