Feshbach resonances of harmonically trapped atoms
arXiv:1005.5306 · doi:10.1103/PhysRevA.83.030701
Abstract
Employing a short-range two-channel description we derive an analytic model of atoms in isotropic and anisotropic harmonic traps at a Feshbach resonance. On this basis we obtain a new parameterization of the energy-dependent scattering length which differs from the one previously employed. We validate the model by comparison to full numerical calculations for Li-Rb and explain quantitatively the experimental observation of a resonance shift and trap-induced molecules in exited bands. Finally, we analyze the bound state admixture and Landau-Zener transition probabilities.
arXiv comment4 pages, 2 figures; revised version with extension to anisotropic traps and new paragraph on trap-induced molecules in excited bands
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- Two-channel Bose-Hubbard model of atoms at a Feshbach resonance
- Non-perturbative theoretical description of two atoms in an optical lattice with time-dependent perturbations
- Fermionic vs. bosonic two-site Hubbard models with a pair of interacting cold atoms