Four-body problem and BEC-BCS crossover in a quasi-one-dimensional cold fermion gas
C. Mora, A. Komnik, R. Egger, A. O. Gogolin
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 aaa displays a confinement-induced resonance. We compute the dimer-dimer scattering length add, and show that this quantity completely determines the many-body solution of the associated BEC-BCS crossover phenomenon in terms of bosonic dimers.
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