Structure and interactions of ultracold Yb ions and Rb atoms

Abstract

In order to study ultracold charge-transfer processes in hybrid atom-ion traps, we have mapped out the potential energy curves and molecular parameters for several low lying states of the Rb, Yb${}^{+}$ system. We employ both a multi-reference configuration interaction (MRCI) and a full configuration interaction (FCI) approach. Turning points, crossing points, potential minima and spectroscopic molecular constants are obtained for the lowest five molecular states. Long-range parameters, including the dispersion coefficients are estimated from our {\it ab initio} data. The separated-atom ionization potentials and atomic polarizability of the ytterbium atom (${\alpha }_d=128.4$ atomic units) are in good agreement with experiment and previous calculations. We present some dynamical calculations for (adiabatic) scattering lengths for the two lowest (Yb,Rb${}^{+}$) channels that were carried out in our work. However, we find that the pseudo potential approximation is rather limited in validity, and only applies to nK temperatures. The adiabatic scattering lengths for both the triplet and singlet channels indicate that both are large and negative in the FCI approximation.

8 pages, 3 figures, 5 tables

References in corpus (7)

• A trapped single ion inside a Bose-Einstein condensate
• Dynamics of a cold trapped ion in a Bose-Einstein condensate
• Controlling chemical reactions of a single particle
• Quantum theory of ultracold atom-ion collisions
• Cold heteronuclear atom-ion collisions
• Controlled collisions of a single atom and ion guided by movable trapping potentials
• Sympathetic cooling of the Ba${}^{+}$ ion by collisions with ultracold Rb atoms: theoretical prospects

Cited by in corpus (11)

• Cold hybrid ion-atom systems
• Formation of molecular ions by radiative association of cold trapped atoms and ions
• Interactions and chemical reactions in ionic alkali-metal and alkaline-earth-metal diatomic $A{B}^{+}$ and triatomic $A_2{B}^{+}$ systems
• Spin-orbit interactions and quantum spin dynamics in cold ion-atom collisions
• Ultracold magnetically tunable interactions without radiative charge transfer losses between Ca${}^{+}$, Sr${}^{+}$, Ba${}^{+}$, and Yb${}^{+}$ ions and Cr atoms
• Ultracold, radiative charge transfer in hybrid Yb ion - Rb atom traps
• Interactions and low energy collisions between an alkali ion and an alkali atom of different nucleus
• Long range interactions between alkali and alkaline-earth atoms
• Excitation-assisted nonadiabatic charge-transfer reaction in a mixed atom-ion system
• Laser controlled charge-transfer reaction at low temperatures
• Electric field dissociation of weakly bound molecular ions