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arXiv:1810.00608 · Physical Review A

Feshbach resonances in Na23+K39 mixtures and refined molecular potentials for the NaK molecule

Torsten Hartmann, Torben Schulze, Kai K. Voges, Philipp Gersema, Matthias W. Gempel, E. Tiemann, Alessandro Zenesini, Silke Ospelkaus

Published Mar 27, 2019• 18 citations
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Abstract

We present a detailed study of interspecies Feshbach resonances of the bosonic $^{23}\mathrm{Na}+^{39}\mathrm{K}$ mixture for magnetic fields up to $750\phantom{\rule{0.16em}{0ex}}\mathrm{G}$ in various collision channels. A total of 14 Feshbach resonances are reported, as well as four zero crossings of the scattering length and three inelastic two-body loss features. We use the observed magnetic-field locations of the resonant features together with the known data on $^{23}\mathrm{Na}+^{40}\mathrm{K}$ to refine the singlet and triplet ground-state potentials of NaK and achieve a consistent description of Feshbach resonances for both the Bose-Bose mixture of $^{23}\mathrm{Na}+^{39}\mathrm{K}$ and the Bose-Fermi mixture of $^{23}\mathrm{Na}+^{40}\mathrm{K}$. We also discuss the influence of the interplay between inelastic two-body and three-body processes on the observation of a Feshbach resonance.

DOI
10.1103/physreva.99.032711

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We present a detailed study of interspecies Feshbach resonances of the bosonic 23Na+39K^{23}\mathrm{Na}+^{39}\mathrm{K}23Na+39K mixture for magnetic fields up to 750G750\phantom{\rule{0.16em}{0ex}}\mathrm{G}750G in various collision channels. A total of 14 Feshbach resonances are reported, as well as four zero crossings of the scattering length and three inelastic two-body loss features. We use the observed magnetic-field locations of the resonant features together with the known data on 23Na+40K^{23}\mathrm{Na}+^{40}\mathrm{K}23Na+40K to refine the singlet and triplet ground-state potentials of NaK and achieve a consistent description of Feshbach resonances for both the Bose-Bose mixture of 23Na+39K^{23}\mathrm{Na}+^{39}\mathrm{K}23Na+39K and the Bose-Fermi mixture of 23Na+40K^{23}\mathrm{Na}+^{40}\mathrm{K}23Na+40K. We also discuss the influence of the interplay between inelastic two-body and three-body processes on the observation of a Feshbach resonance.
The ultracold mixture of 23Na^{23}\mathrm{Na}23Na and 87Rb^{87}\mathrm{Rb}87Rb atoms has become an important system for investigating physics in Bose-Bose atomic mixtures and for forming ultracold ground-state polar molecules. In this work, we provide an improved characterization of the most commonly used Feshbach resonance near 347.64 G between 23Na^{23}\mathrm{Na}23Na and 87Rb^{87}\mathrm{Rb}87Rb in their absolute ground states. We form Feshbach molecules using this resonance and measure their binding energies by dissociating them via magnetic-field modulation. We use the binding energies to refine the singlet and triplet potential-energy curves, using coupled-channel bound-state calculations. We then use coupled-channel scattering calculations on the resulting potentials to produce a high-precision mapping between magnetic field and scattering length. We also observe ten additional sss-wave Feshbach resonances for 23Na^{23}\mathrm{Na}23Na and 87Rb^{87}\mathrm{Rb}87Rb in different combinations of Zeeman sublevels of the F=1F=1F=1 hyperfine states. Some of the resonances show two-body inelastic decay due to spin exchange. We compare the resonance properties with coupled-channel scattering calculations that full take account of inelastic properties.
Three magnetic-field induced heteronuclear Feshbach resonances were identified in collisions between bosonic 87Rb^{87}\mathrm{R}\mathrm{b}87Rb and fermionic 40K^{40}\mathrm{K}40K atoms in their absolute ground states. Strong inelastic loss from an optically trapped mixture was observed at the resonance positions of 492, 512, and $543\ifmmode\pm\else\textpm\fi{}2\text{ }\text{ }\mathrm{G}$. The magnetic-field locations of these resonances place a tight constraint on the triplet and singlet cross-species scattering lengths, yielding $(\ensuremath{-}281\ifmmode\pm\else\textpm\fi{}15){a}_{0}$ and $(\ensuremath{-}54\ifmmode\pm\else\textpm\fi{}12){a}_{0}$, respectively. The width of the loss feature at 543 G is $3.7\ifmmode\pm\else\textpm\fi{}1.5\text{ }\text{ }\mathrm{G}$ wide; this broad Feshbach resonance should enable experimental control of the interspecies interactions.
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