Properties of quasi-one-dimensional molecules with Feshbach resonance interaction

Abstract

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 non-resonant scattering length the problem can be approximated by a one-dimensional resonant model. Three-body problem becomes nonintegrable and the properties of triatomic molecules become different from those predicted by the integrable Lieb-Liniger-McGuire model.

7 pages, 5 figures

References in corpus (3)

• Adiabatic association of ultracold molecules via magnetic field tunable interactions
• Feshbach resonance scattering under cylindrical harmonic confinement
• Coherence length of an elongated condensate: a study by matter-wave interferometry

Cited by in corpus (6)

• Two-channel Feshbach physics in a structured continuum
• Conditions of Low Dimensionality for Strongly Interacting Atoms Under a Transverse Trap
• Effective low-dimensional Hamiltonian for strongly interacting atoms in a transverse trap
• Effects of nonintegrability on stabilization of Feshbach molecules in atom waveguides
• Entanglement between two fermionic atoms inside a cylindrical harmonic trap
• Faddeev equations in one-dimensional problems with resonant interactions