Collisions of trapped ions with ultracold atoms in the [YbRb]$^+$ system

Details Collisions of trapped ions with ultracold atoms in the [YbRb]$^+$ system Collisions of trapped ions with ultracold atoms in the [YbRb]$^+$ system

2011-07-06

arxiv.org/abs/1107.1141v1

Physics

Atomic Physics

7 pages, 4 figures, 4 tables

Scientific paper

We investigate the ultracold elastic scattering for the quasi-molecular ion of ytterbium and rubidium system, based on {\it ab initio} calculations, including both asymptotic ionic channels. This structure has an important role in the design of hybrid ion-atom traps and quantum control of charge transfer processes. The dissociation energies and molecular constants for the lowest electronic states were calculated along with the long-range dispersion forces in order to estimate the scattering lengths. The separated-atom ionization potentials and atomic polarizability of the ytterbium atom ($\alpha_d=128.5$ atomic units) are in good agreement with experiment and previous calculations. Using phase shift analysis and the semiclassical approximation, for the Rb$^+$ channel the scattering length is $a_s \approx +2815\ a_{0}$. With the Yb$^+$ ion colliding with the Rb atom we have the complications of singlet/triplet and the presence of nearly-degenerate charge transfer states introducing uncertainty. For the triplet channel, the adiabatic scattering length is estimated at $a_s \approx -680\ a_{0} $, while the singlet value is $a_{s} \approx -690 \ a_{0} $. We also find that the pseudopotential has a strong linear variation near zero energy and is not well represented by the single-parameter scattering length. Thus, for calculations of scattering processes at low ($\mu$K) temperatures it is essential to take this variation into account.

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