Heteronuclear molecules in an optical lattice: Theory and experiment

2007/03/31 by F. Deuretzbacher, Frank Deuretzbacher, Kim Plassmeier +9 · 2 citations
Chemistry · Physics and Astronomy · #Anharmonicity #Atomic physics #Cold Atom Physics and Bose-Einstein Condensates #Feshbach resonance #Heteronuclear molecule #Lattice (music) #Molecule #Optical lattice #Physics #Pseudopotential #Quantum mechanics #Quantum, superfluid, helium dynamics #Spectroscopy and Laser Applications #Superfluidity #cond-mat.other #physics.atom-ph

paper · pdf · doi:10.1103/physreva.77.032726

published as Phys. Rev. A 77, 032726 (2008) · 9 pages, 7 figures, revised discussion of transfer efficiency

openalex publication_date 2008/03/31 · arxiv created 2008/04/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 ⁴⁰K and ⁸⁷Rb [C. Ospelkaus et al., Phys. Rev. Lett. 97, 120402 (2006)]. We treat the interaction in terms of a regularized \ensuremathδ 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.

Citations

• Holstein model and Peierls instability in one-dimensional boson-fermion lattice gases
• Formation of Quantum-Degenerate Sodium Molecules
• Three-Boson Problem near a Narrow Feshbach Resonance
• High-Temperature Atomic Superfluidity in Lattice Bose-Fermi Mixtures
• Observation of resonance condensation of fermionic atom pairs
• Strongly interacting atoms and molecules in a 3D optical lattice
• Bose-Fermi Mixtures in a Three-Dimensional Optical Lattice
• p-wave Cooper pairing of fermions in mixtures of dilute Fermi and Bose gases
• Localization of Bosonic Atoms by Fermionic Impurities in a Three-Dimensional Optical Lattice
• Emergence of a molecular Bose–Einstein condensate from a Fermi gas
• Atom-Molecule Rabi Oscillations in a Mott Insulator
• Preparation of a quantum state with one molecule at each site of an optical lattice
• Weakly Bound Dimers of Fermionic Atoms
• High-precision calculations of van der Waals coefficients for heteronuclear alkali-metal dimers
• Production of three-body Efimov molecules in an optical lattice
• Production of Long-Lived UltracoldLi2Molecules from a Fermi Gas
• Repulsively bound atom pairs in an optical lattice
• Bose-Einstein Condensation of Molecules
• Observation of Bose-Einstein Condensation of Molecules

Cited by

• Small mass- and trap-imbalanced two-component Fermi systems
• Role of interspecies interactions in the preparation of a low-entropy gas of polar molecules in a lattice