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Atom-molecule coherence in a one-dimensional system.

R Citro1, E Orignac

  • 1Dipartimento di Fisica E. R. Caianiello and Laboratorio Regionale SUPERMAT C. N. R., Università degli Studi di Salerno, Via S. Allende, I-84081 Baronissi (Sa), Italy.

Physical Review Letters
|October 4, 2005
PubMed
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We found coherence between molecular and fermionic states in one-dimensional systems. This leads to identical order parameters for Bose-Einstein condensation and BCS pairing, with exponential decay in correlations.

Area of Science:

  • Condensed Matter Physics
  • Quantum Gases
  • Many-Body Physics

Background:

  • One-dimensional (1D) systems exhibit unique quantum phenomena.
  • Feshbach resonances enable control over atomic interactions and molecule formation.
  • Luttinger liquid theory describes interacting 1D fermionic systems.

Purpose of the Study:

  • Investigate the low-energy physics of 1D fermionic atoms forming bosonic molecules via Feshbach resonance.
  • Explore the development of coherence between molecular and fermionic states.
  • Analyze the impact on excitation spectra and correlation functions.

Main Methods:

  • Theoretical modeling of one-dimensional fermionic atoms with a narrow Feshbach resonance.
  • Analysis of the coherence between molecule and fermion Luttinger liquids.

Related Experiment Videos

  • Examination of spin excitation spectra and charge density wave correlations.

    • Main Results:

    • Coherence develops between molecule and fermion Luttinger liquids at low energy.
    • A gap opens in the spin excitation spectrum.
    • Order parameters for molecular Bose-Einstein condensation and atomic BCS pairing become identical.
    • Both bosonic and fermionic charge density wave correlations exhibit exponential decay.

    Conclusions:

    • The system transitions to a state with unique correlations, distinct from standard Luttinger liquids.
    • A Luther-Emery point is identified, allowing description via noninteracting pseudofermions.
    • The study provides insights into the threshold behavior of density-density response functions.