Heteronuclear molecules in an optical lattice: Theory and experiment

Abstract

We study properties of two different atoms at a single optical lattice site at a heteronuclear atomic Feshbach resonance. We calculate the energy spectrum, the efficiency of rf association and the lifetime as a function of magnetic field and compare the results with the experimental data obtained for K-40 and Rb-87 [C. Ospelkaus et al., Phys. Rev. Lett. 97, 120402 (2006)]. We treat the interaction in terms of a regularized delta function pseudopotential and consider the general case of particles with different trap frequencies, where the usual approach of separating center-of-mass and relative motion fails. We develop an exact diagonalization approach to the coupling between center-of-mass and relative motion and numerically determine the spectrum of the system. At the same time, our approach allows us to treat the anharmonicity of the lattice potential exactly. Within the pseudopotential model, the center of the Feshbach resonance can be precisely determined from the experimental data.

9 pages, 7 figures, revised discussion of transfer efficiency

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• Ab-initio determination of Bose-Hubbard parameters for two ultracold atoms in an optical lattice using a three-well potential
• Impenetrable Mass-Imbalanced Particles in One-Dimensional Harmonic Traps
• Exact theoretical description of two ultracold atoms in a single site of a 3D optical lattice using realistic interatomic interaction potentials
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• Theory of inelastic confinement-induced resonances due to the coupling of center-of-mass and relative motion
• Small mass- and trap-imbalanced two-component Fermi systems
• Theoretical description of two ultracold atoms in finite 3D optical lattices using realistic interatomic interaction potentials
• Scattering and binding of different atomic species in a one-dimensional optical lattice
• Magnetic Feshbach resonances in ultracold collisions between Cs and Yb atoms
• Phase gate and readout with an atom/molecule hybrid platform
• Observation of bound state self-interaction in a nano-eV atom collider
• Laser control of ultracold molecule formation: The case of RbSr
• Proposal for the formation of ultracold deeply-bound RbSr dipolar molecules by all-optical methods
• Feshbach resonances in a nonseparable trap
• Heteronuclear quantum gas mixtures
• The Role of Interspecies Interactions in the Preparation of a Low-entropy Gas of Polar Molecules in a Lattice
• High-precision analysis of Feshbach resonances in a Mott insulator
• Analytical solutions for two heteronuclear atoms in a ring trap
• Mass-imbalanced atoms in a hard-wall trap: an exactly solvable model with emergent $D_6$ symmetry
• Impact of overlapping resonances on magnetoassociation of cold molecules in tight traps