Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2007-03-13
Phys. Rev. A 77, 032726 (2008)
Physics
Condensed Matter
Other Condensed Matter
9 pages, 7 figures, revised discussion of transfer efficiency
Scientific paper
10.1103/PhysRevA.77.032726
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.
Bongs Kai
Deuretzbacher Frank
Ospelkaus Christian
Ospelkaus Silke
Pfannkuche Daniela
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