Four-body problem and BEC-BCS crossover in a quasi-one-dimensional cold fermion gas

C. Mora; A. Komnik; R. Egger; A. O. Gogolin

doi:10.1103/PhysRevLett.95.080403

Four-body problem and BEC-BCS crossover in a quasi-one-dimensional cold fermion gas

Statistical Mechanics 2007-05-23 v2 Superconductivity Atomic Physics Quantum Physics

Authors: C. Mora , A. Komnik , R. Egger , A. O. Gogolin

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Abstract

The four-body problem for an interacting two-species Fermi gas is solved analytically in a confined quasi-one-dimensional geometry, where the two-body atom-atom scattering length $a_{aa}$ displays a confinement-induced resonance. We compute the dimer-dimer scattering length $a_{dd}$ , and show that this quantity completely determines the many-body solution of the associated BEC-BCS crossover phenomenon in terms of bosonic dimers.

Keywords

four-body problem BEC-BCS crossover quasi-one-dimensional fermion gas confinement-induced resonance dimer-dimer scattering length

Cite

@article{arxiv.cond-mat/0501641,
  title  = {Four-body problem and BEC-BCS crossover in a quasi-one-dimensional cold fermion gas},
  author = {C. Mora and A. Komnik and R. Egger and A. O. Gogolin},
  journal= {arXiv preprint arXiv:cond-mat/0501641},
  year   = {2007}
}

Comments

5 pages, 1 figure, published in Phys. Rev. Lett., breathing mode calculation added

Four-body problem and BEC-BCS crossover in a quasi-one-dimensional cold fermion gas

Abstract

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