One-dimensional three-body problem with Feshbach resonance interactions

Peder K. Sørensen, D. V. Fedorov, A. S. Jensen

Vladimir Yurovsky

Bound states and collisions of atoms with two-channel two-body interactions in harmonic waveguides are analyzed. The closed-channel contributions to two-atom bound states become dominant in the case of a weak resonance. At low energies and values of the nonresonant scattering length the problem can be approximated by a one-dimensional resonant model. The three-body problem becomes nonintegrable and the properties of triatomic molecules become different from those predicted by the integrable Lieb-Liniger-McGuire model.

Niket Thakkar

Wei Jiang, Mo Li

We investigate the decoherence dynamics caused by three-body interaction in one-dimensional sinlge-mode atomic waveguide. By using proper Feshbach resonance to modulate the relative interaction strength, the coherence can be recovered.

James R. Macdonald Lab

Christophe Mora, Reinhold Egger, Alexander O. Gogolin +1 more

We solve the three-body problem of a quasi-one-dimensional ultracold Fermi gas with parabolic confinement length a (perpendicular) and 3D scattering length a. On the two-body level, there is a Feshbach-type resonance at a (perpendicular)/a approximately 1.46, and a dimer state for arbitrary a (perpendicular)/a. The three-body problem is shown to be universal, and described by the atom-dimer scattering length a(ad) and a range parameter b(ad). In the dimer limit a (perpendicular)/a>>1, we find a repulsive zero-range atom-dimer interaction. For a (perpendicular)/a<<-1, however, the potential has long range, with a(ad)>0 and b(ad)>>a(ad). There is no trimer state, and despite a(ad)=0 at a( perpendicular)/a approximately 2.6, there is no resonance enhancement of the interaction.