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.

arXiv comment7 pages, 5 figures

References in corpus (21)

• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Formation and Propagation of Matter Wave Soliton Trains
• Formation of a Matter-Wave Bright Soliton
• Realization of Bose-Einstein condensates in lower dimensions
• Exploring phase coherence in a 2D lattice of Bose-Einstein condensates
• Confinement induced molecules in a 1D Fermi gas
• Atom-Atom Scattering Under Cylindrical Harmonic Confinement: Numerical and Analytical Studies of the Confinement Induced Resonance
• Precise determination of ${}^6$Li cold collision parameters by radio-frequency spectroscopy on weakly bound molecules
• Propagation of Bose-Einstein condensates in a magnetic waveguide
• Momentum spectroscopy of 1D phase fluctuations in Bose-Einstein condensates
• Feshbach Resonances in Fermionic Lithium-6
• Strongly inhibited transport of a 1D Bose gas in a lattice
• Interference of Bose-Einstein Condensates on an Atom Chip
• Self-consistent model of ultracold atomic collisions and Feshbach resonances in tight harmonic traps
• Adiabatic association of ultracold molecules via magnetic field tunable interactions
• Effective interactions, Fermi-Bose duality, and ground states of ultracold atomic vapors in tight de Broglie waveguides
• Pseudopotential model of ultracold atomic collisions in quasi-one- and two-dimensional traps
• Feshbach resonance scattering under cylindrical harmonic confinement
• Coherence length of an elongated condensate: a study by matter-wave interferometry
• One-dimensional Bose chemistry: effects of non-integrability
• A pseudo-potential analog for zero-range photoassociation and Feshbach resonance

Cited by in corpus (10)

• Universal few-body physics and cluster formation
• Two-channel Feshbach physics in a structured continuum
• Optical Feshbach resonances of Alkaline-Earth atoms in a 1D or 2D optical lattice
• Conditions of Low Dimensionality for Strongly Interacting Atoms Under a Transverse Trap
• Effective low-dimensional Hamiltonian for strongly interacting atoms in a transverse trap
• Shifts and widths of Feshbach resonances in atomic waveguides
• Bound and scattering states in harmonic waveguides in the vicinity of free space Feshbach resonances
• 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