Exact theoretical description of two ultracold atoms in a single site of a 3D optical lattice using realistic interatomic interaction potentials

Abstract

A theoretical approach was developed for an exact numerical description of a pair of ultracold atoms interacting via a central potential that are trapped in a three-dimensional optical lattice. The coupling of center-of-mass and relative-motion coordinates is explicitly considered using a configuration-interaction (exact-diagonalization) technique. Deviations from the harmonic approximation are discussed for several heteronuclear alkali-metal atom pairs trapped in a single site of an optical lattice. The consequences are discussed for the analysis of a recent experiment [C. Ospelkaus et al, Phys. Rev. Lett. 97, 120402 (2006)] in which radio-frequency association was used to create diatomic molecules from a fermionic and a bosonic atom and to measure their binding energies close to a magnetic Feshbach resonance.

18 pages, 10 figures

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Cited by in corpus (18)

• Few-body physics with ultracold atomic and molecular systems in traps
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Precision Measurements on a Tunable Mott Insulator of Ultracold Atoms
• Coherent molecule formation in anharmonic potentials near confinement-induced resonances
• Inelastic Confinement-Induced Resonances in Low-Dimensional Quantum Systems
• Ab-initio determination of Bose-Hubbard parameters for two ultracold atoms in an optical lattice using a three-well potential
• Anharmonicity Induced Resonances for Ultracold Atoms and their Detection
• Theory of inelastic confinement-induced resonances due to the coupling of center-of-mass and relative motion
• Theoretical description of two ultracold atoms in finite 3D optical lattices using realistic interatomic interaction potentials
• Tunneling of two bosonic atoms from a one-dimensional anharmonic trap
• Laser control of ultracold molecule formation: The case of RbSr
• Observation of confinement-induced resonances in a 3D lattice
• Interaction dependent temperature effects in Bose-Fermi mixtures in optical lattices
• Spin dynamics dominated by superexchange via virtual molecules
• Analytical solution for the spectrum of two ultracold atoms in a completely anisotropic confinement
• Mimicking multi-channel scattering with single-channel approaches
• High-precision analysis of Feshbach resonances in a Mott insulator
• Quench dynamics of two interacting atoms in a one-dimensional anharmonic trap