Multi-channel modelling of the formation of vibrationally cold polar KRb molecules

Abstract

We describe the theoretical advances that influenced the experimental creation of vibrationally and translationally cold polar ${}^{40}$K${}^{87}$Rb molecules \cite{nphys08,science08}. Cold molecules were created from very-weakly bound molecules formed by magnetic field sweeps near a Feshbach resonance in collisions of ultra-cold ${}^{40}$K and ${}^{87}$Rb atoms. Our analysis include the multi-channel bound-state calculations of the hyperfine and Zeeman mixed X${}^1{\Sigma }^{+}$ and a${}^3{\Sigma }^{+}$ vibrational levels. We find excellent agreement with the hyperfine structure observed in experimental data. In addition, we studied the spin-orbit mixing in the intermediate state of the Raman transition. This allowed us to investigate its effect on the vibrationally-averaged transition dipole moment to the lowest ro-vibrational level of the X${}^1{\Sigma }^{+}$ state. Finally, we obtained an estimate of the polarizability of the initial and final ro-vibrational states of the Raman transition near frequencies relevant for optical trapping of the molecules.

arXiv comment14 pages, 9 figures

References in corpus (7)

• A High Phase-Space-Density Gas of Polar Molecules
• Optical Production of Ultracold Polar Molecules
• Exploring an ultracold Fermi-Fermi mixture: Interspecies Feshbach resonances and scattering properties of 6Li and 40K
• Ultracold dense gas of deeply bound heteronuclear molecules
• Heteronuclear molecules in an optical dipole trap
• The coupling of the X${}^1{\Sigma }^{+}$ and a${}^3{\Sigma }^{+}$ states of KRb
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• Dispersion interactions and reactive collisions of ultracold polar molecules
• Electric field-dependent dynamic polarizability and "magic" conditions for optical trapping of polar molecules
• Universalities in ultracold reactions of alkali polar molecules
• Prospects for Narrow-line Cooling of KRb Molecules in Rovibrational Ground State
• Singlet Pathway to the Ground State of Ultracold Polar Molecules
• High Resolution Molecular Spectroscopy for Producing Ultracold Absolute Ground-State ${}^{23}$Na${}^{87}$Rb Molecules
• Multi-channel modeling and two photon coherent transfer paths in NaK
• The twofold diabatization of the KRb $(1\sim 2{)}^1\Pi$ complex in the framework of \emph{ab initio} and deperturbation approaches
• External field control of spin-dependent rotational decoherence of ultracold polar molecules