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arXiv:2110.15906 · Physical Review A

Feshbach resonances and molecule formation in ultracold mixtures of Rb and Yb(P3) atoms

Bijit Mukherjee, Matthew D. Frye, Jeremy M. Hutson

Published Feb 7, 2022• 6 citations
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Abstract

We have investigated magnetically tunable Feshbach resonances in ultracold collisions of Rb with Yb in its metastable ${}^{3}{P}_{2}$ and ${}^{3}{P}_{0}$ states, using coupled-channel scattering and bound-state calculations. For the ${}^{3}{P}_{2}$ state, we find sharp resonances when both atoms are in their lowest Zeeman sublevels. However, these resonances are decayed by inelastic processes that produce Yb atoms in ${}^{3}{P}_{1}$ and ${}^{3}{P}_{0}$ states. The molecules that might be produced by magnetoassociation at the ${}^{3}{P}_{2}$ thresholds can decay by similar pathways and would have lifetimes no more than a few microseconds. For the ${}^{3}{P}_{0}$ state, by contrast, there are resonances that are promising for magnetoassociation. There are resonances due to both rotating and nonrotating molecular states that are significantly stronger than the analogous resonances for $\mathrm{Yb}{(}^{1}S$). The ones due to rotating states are denser in magnetic field; in contrast to $\mathrm{Yb}{(}^{1}S$), they exist even for bosonic isotopes of $\mathrm{Yb}{(}^{3}{P}_{0}$).

DOI
10.1103/physreva.105.023306

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We have investigated magnetically tunable Feshbach resonances arising from the interaction of Li(2S{}^{2}S2S) with metastable Yb(3P2{}^{3}{P}_{2}3P2​) and (3P0{}^{3}{P}_{0}3P0​). For Yb(3P2{}^{3}{P}_{2}3P2​), all the resonance features are strongly suppressed by inelastic collisions that produce Yb in its lower-lying 3P1{}^{3}{P}_{1}3P1​ and 3P0{}^{3}{P}_{0}3P0​ states. For Yb(3P0{}^{3}{P}_{0}3P0​), sharp resonances exist but they are extremely narrow (widths less than 1 mG).
Magnetically tunable Feshbach resonances exist in ultracold collisions between atoms in 2S^{2}\mathrm{S}2S and 3P0{}^{3}{\mathrm{P}}_{0}3P0​ states, such as an alkali-metal atom colliding with Yb or Sr in a clock state. We investigate the mechanisms of these resonances and identify the terms in the collision Hamiltonian responsible for them. They involve indirect coupling between the open and closed channels, via intermediate channels involving atoms in 3P1{}^{3}{\mathrm{P}}_{1}3P1​ states. The resonance widths are generally proportional to the square of the magnetic field and are strongly enhanced when the magnitude of the background scattering length is large. For any given pair of atoms, the scattering length can be tuned discretely by choosing different isotopes of the 3P0{}^{3}{\mathrm{P}}_{0}3P0​ atom. For each combination of an alkali-metal atom and either Yb or Sr, we consider the prospects of finding an isotopic combination that has both a large background scattering length and resonances at a high but experimentally accessible field. We conclude that 87Rb+Yb^{87}\mathrm{Rb}+\mathrm{Yb}87Rb+Yb, Cs+Yb\mathrm{Cs}+\mathrm{Yb}Cs+Yb, and 85Rb+Sr^{85}\mathrm{Rb}+\mathrm{Sr}85Rb+Sr are particularly promising combinations.
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