Production of three-body Efimov molecules in an optical lattice
arXiv:cond-mat/0410765 · doi:10.1103/PhysRevA.72.022714
Abstract
We study the possibility of associating meta-stable Efimov trimers from three free Bose atoms in a tight trap realised, for instance, via an optical lattice site or a microchip. The suggested scheme for the production of these molecules is based on magnetically tunable Feshbach resonances and takes advantage of the Efimov effect in three-body energy spectra. Our predictions on the energy levels and wave functions of three pairwise interacting 85Rb atoms rely upon exact solutions of the Faddeev equations and include the tightly confining potential of an isotropic harmonic atom trap. The magnetic field dependence of these energy levels indicates that it is the lowest energetic Efimov trimer state that can be associated in an adiabatic sweep of the field strength. We show that the binding energies and spatial extents of the trimer molecules produced are comparable, in their magnitudes, to those of the associated diatomic Feshbach molecule. The three-body molecular state follows Efimov's scenario when the pairwise attraction of the atoms is strengthened by tuning the magnetic field strength.
21 pages, 8 figures (final version)
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Cited by in corpus (16)
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Atom Interferometers
- Molecule formation in ultracold atomic gases
- Excited Thomas-Efimov levels in ultracold gases
- Symmetries of Three Harmonically-Trapped Particles in One Dimension
- Level crossing in the three-body problem for strongly interacting fermions in a harmonic trap
- Heteronuclear molecules in an optical lattice: Theory and experiment
- Feshbach resonances in ultracold 85Rb
- A two-channel R-matrix analysis of magnetic field induced Feshbach resonances
- Efimov Trimer Formation via Ultracold Four-body Recombination
- Collisional relaxation of Feshbach molecules and three-body recombination in 87Rb Bose-Einstein condensates
- Three-fermion problems in optical lattices
- Multichannel quantum-defect theory for magnetic Feshbach resonances in heteronuclear group I systems
- Trimer superfluid and supersolid on two-dimensional optical lattices
- Trimer superfluid induced by photoassocation on the state-dependent optical lattice
- Classification of zero-energy resonances by dissociation of Feshbach molecules