Theory of inelastic confinement-induced resonances due to the coupling of center-of-mass and relative motion

Abstract

A detailed study of the anharmonicity-induced resonances caused by the coupling of center-of-mass and relative motion is presented for a system of two ultracold atoms in single-well potentials. As has been confirmed experimentally, these inelastic confinement-induced resonances are of interest, since they can lead to coherent molecule formation, losses, and heating in ultracold atomic gases. A perturbative model is introduced to describe the resonance positions and the coupling strengths. The validity of the model and the behavior of the resonances for different confinement geometries are analyzed in comparison with exact numerical ab initio calculations. While such resonances have so far only been detected for large positive values of the $s$-wave scattering length, it is found that they are present also for negative $s$-wave scattering lengths, i. e. for attractive interactions. The possibility to coherently tune the resonances by a variation of the external confinement geometry might pave the way for coherent molecule association where magnetic Feshbach resonances are inaccessible.

14 pages, 10 figures

References in corpus (12)

• Fermionization of two distinguishable fermions
• Molecules of Fermionic Atoms in an Optical Lattice
• Scattering in Mixed Dimensions with Ultracold Gases
• Analytical solutions for the dynamics of two trapped interacting ultracold atoms
• Coherent molecule formation in anharmonic potentials near confinement-induced resonances
• Confinement-induced resonances for a two-component ultracold atom gas in arbitrary quasi-one-dimensional traps
• Heteronuclear molecules in an optical lattice: Theory and experiment
• Confinement-induced resonance in quasi-one-dimensional systems under transversely anisotropic confinement
• Matrix algorithm for solving Schroedinger equations with position-dependent mass or complex optical potentials
• Two ultracold atoms in a completely anisotropic trap
• Influence of a tight isotropic harmonic trap on photoassociation in ultracold homonuclear alkali gases
• Inelastic Confinement-Induced Resonances in Quantum Dots

Cited by in corpus (17)

• Formation of ultracold molecules by merging optical tweezers
• Quantum Register of Fermion Pairs
• Tunneling of two bosonic atoms from a one-dimensional anharmonic trap
• Observation of confinement-induced resonances in a 3D lattice
• Single-atom transistor as a precise magnetic field sensor
• Atom Pairing in Optical Superlattices
• Analytical solution for the spectrum of two ultracold atoms in a completely anisotropic confinement
• Spin dynamics dominated by superexchange via virtual molecules
• Confinement Induced Resonance with Weak Bare Interaction in a Quasi 3+0 Dimensional Ultracold Gas
• Quench dynamics of two interacting atoms in a one-dimensional anharmonic trap
• Universal energy-dependent pseudopotential for the two-body problem of confined ultracold atoms
• Universality and tails of long range interactions in one dimension
• Anharmonicity-Induced Criticality of Collective Excitation in a Trapped Bose-Einstein Condensate
• Dimer problem on a spherical surface
• Molecular excited state in the interaction quench dynamics of two different atoms in a two-dimensional anisotropic trap
• Confinement-Induced Resonances in Spherical Shell Traps
• Confinement-induced resonances for the creation of quasi-one-dimensional ultra cold gases of alkali--alkaline-earth dimers