Journal of Physics Conference Series

Heteroisotopic Feshbach resonances in collisions of cold Ca and Ca+

Marko Gacesa, Robin Côté

Published Jul 1, 2017• 0 citations

Abstract

We investigate ultracold collisions of heteroisotopic pairs of Ca with Ca + mediated by an external magnetic field. Based on the nuclear spin of Ca, namely I = 7/2 for 43 Ca and I = 0 for other isotopes, we identify different scattering dynamics and characterize magnetic Feshbach resonances in 43 Ca+ 43 Ca + and 43 Ca+ (40,42) Ca + collisions. Our results suggest that interisotopic Feshbach resonances could be used to control charge-exchange in ultracold atom-ion mixtures of Ca and its ion.

DOI: 10.1088/1742-6596/875/9/082007

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Journal of Physics Conference Series

Heteroisotopic Feshbach resonances in collisions of cold Ca and Ca+

Marko Gacesa, Robin Côté

Published Jul 1, 2017• 0 citations

Publisher

Abstract

DOI: 10.1088/1742-6596/875/9/082007

Related papers

Charge transfer in ultracold gases via Feshbach resonances

Marko Gacesa, Robin Côté

We investigate the prospects of using magnetic Feshbach resonance to control charge exchange in ultracold collisions of heteroisotopic combinations of atoms and ions of the same element. The proposed treatment, readily applicable to alkali or alkaline-earth metals, is illustrated on cold collisions of $^{9}\mathrm{Be}^{+}$ and $^{10}\mathrm{Be}$ . Feshbach resonances are characterized by quantum scattering calculations in a coupled-channel formalism that includes non-Born-Oppenheimer terms originating from the nuclear kinetic operator. Near a resonance predicted at 322 G, we find the charge exchange rate coefficient to rise from practically zero to values greater than ${10}^{\ensuremath{-}12}\phantom{\rule{4pt}{0ex}}{\mathrm{cm}}^{3}$/s. Our results suggest controllable charge exchange processes between different isotopes of suitable atom-ion pairs, with potential applications to quantum systems engineered to study charge diffusion in trapped cold atom-ion mixtures and emulate many-body physics.We investigate the prospects of using magnetic Feshbach resonance to control charge exchange in ultracold collisions of heteroisotopic combinations of atoms and ions of the same element. The proposed treatment, readily applicable to alkali or alkaline-earth metals, is illustrated on cold collisions of $^{9}\mathrm{Be}^{+}$ and $^{10}\mathrm{Be}$. Feshbach resonances are characterized by quantum scattering calculations in a coupled-channel formalism that includes non-Born-Oppenheimer terms originating from the nuclear kinetic operator. Near a resonance predicted at 322 G, we find the charge exchange rate coefficient to rise from practically zero to values greater than ${10}^{\ensuremath{-}12}\phantom{\rule{4pt}{0ex}}{\mathrm{cm}}^{3}$/s. Our results suggest controllable charge exchange processes between different isotopes of suitable atom-ion pairs, with potential applications to quantum systems engineered to study charge diffusion in trapped cold atom-ion mixtures and emulate many-body physics.

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Magnetically tunable Feshbach resonances exist in ultracold collisions between atoms in $^{2}\mathrm{S}$ and ${}^{3}{\mathrm{P}}_{0}$ 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 ${}^{3}{\mathrm{P}}_{1}$ 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 ${}^{3}{\mathrm{P}}_{0}$ 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 $^{87}\mathrm{Rb}+\mathrm{Yb}$ , $\mathrm{Cs}+\mathrm{Yb}$ , and $^{85}\mathrm{Rb}+\mathrm{Sr}$ are particularly promising combinations.Magnetically tunable Feshbach resonances exist in ultracold collisions between atoms in $^{2}\mathrm{S}$ and ${}^{3}{\mathrm{P}}_{0}$ 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 ${}^{3}{\mathrm{P}}_{1}$ 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 ${}^{3}{\mathrm{P}}_{0}$ 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 $^{87}\mathrm{Rb}+\mathrm{Yb}$, $\mathrm{Cs}+\mathrm{Yb}$, and $^{85}\mathrm{Rb}+\mathrm{Sr}$ are particularly promising combinations.

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Helium atoms in the metastable $2^{3}S_{1}$ state ( ${\mathrm{He}}^{*}$ ) have unique advantages for ultracold atomic experiments. However, there is no known accessible Feshbach resonance in ${\mathrm{He}}^{*}$ which could be used to manipulate the scattering length and hence unlock several new experimental possibilities. Previous experimental and theoretical studies for ${\mathrm{He}}^{*}$ have produced contradictory results. We aimed to resolve this discrepancy with a theoretical search for Feshbach resonances, using a close-coupled model of ${\mathrm{He}}^{*}$ collisions in the presence of an external magnetic field. Several resonances were detected and the existing literature discrepancy was resolved. Although none of the resonances identified are readily experimentally usable, an interesting non-Feshbach scattering length variation with magnetic field was observed in heteronuclear collisions, at field strengths that are experimentally accessible.Helium atoms in the metastable $2^{3}S_{1}$ state (${\mathrm{He}}^{*}$) have unique advantages for ultracold atomic experiments. However, there is no known accessible Feshbach resonance in ${\mathrm{He}}^{*}$ which could be used to manipulate the scattering length and hence unlock several new experimental possibilities. Previous experimental and theoretical studies for ${\mathrm{He}}^{*}$ have produced contradictory results. We aimed to resolve this discrepancy with a theoretical search for Feshbach resonances, using a close-coupled model of ${\mathrm{He}}^{*}$ collisions in the presence of an external magnetic field. Several resonances were detected and the existing literature discrepancy was resolved. Although none of the resonances identified are readily experimentally usable, an interesting non-Feshbach scattering length variation with magnetic field was observed in heteronuclear collisions, at field strengths that are experimentally accessible.

arXiv:2105.12940Physical Review ASep 20, 20215 citations

^{9}\mathrm{Be}^{+}

and

^{10}\mathrm{Be}

. Feshbach resonances are characterized by quantum scattering calculations in a coupled-channel formalism that includes non-Born-Oppenheimer terms originating from the nuclear kinetic operator. Near a resonance predicted at 322 G, we find the charge exchange rate coefficient to rise from practically zero to values greater than ${10}^{\ensuremath{-}12}\phantom{\rule{4pt}{0ex}}{\mathrm{cm}}^{3}$/s. Our results suggest controllable charge exchange processes between different isotopes of suitable atom-ion pairs, with potential applications to quantum systems engineered to study charge diffusion in trapped cold atom-ion mixtures and emulate many-body physics.

^{40}\mathrm{Ca}^{+}+\mathrm{Na}

system. The presence of several resonances at experimentally accessible magnetic fields should allow the atom-ion interaction to be precisely tuned. A fully quantum-mechanical study of charge-exchange processes shows that charge-exchange rates should remain small even in the presence of resonance effects. Most of our results can be cast in a system-independent form and are important for the realization of charge-neutral ultracold systems.

We perform extensive magnetic Feshbach spectroscopy of an ultracold mixture of fermionic

^{40}\mathrm{K}

and bosonic

^{87}\mathrm{Rb}

atoms. The magnetic-field locations of 13 interspecies resonances are used to construct a quantum collision model able to predict accurate collisional parameters for all $\mathrm{K}\text{\ensuremath{-}}\mathrm{Rb}$ isotopic pairs. In particular, we determine the interspecies

s

-wave singlet and triplet scattering lengths for the $^{40}\mathrm{K}\text{\ensuremath{-}}^{87}\mathrm{Rb}$ mixture as $(\ensuremath{-}108\ifmmode\pm\else\textpm\fi{}3){a}_{0}$ and $(\ensuremath{-}205\ifmmode\pm\else\textpm\fi{}5){a}_{0}$, respectively. We also predict accurate scattering lengths and the position of Feshbach resonances for the other $\mathrm{K}\text{\ensuremath{-}}\mathrm{Rb}$ isotopic pairs. We discuss the consequences of our results for current and future experiments with ultracold $\mathrm{K}\text{\ensuremath{-}}\mathrm{Rb}$ mixtures.

Magnetically tunable Feshbach resonances exist in ultracold collisions between atoms in

^{2}\mathrm{S}

and

{}^{3}{\mathrm{P}}_{0}

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

{}^{3}{\mathrm{P}}_{1}

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

{}^{3}{\mathrm{P}}_{0}

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

^{87}\mathrm{Rb}+\mathrm{Yb}

\mathrm{Cs}+\mathrm{Yb}

, and

^{85}\mathrm{Rb}+\mathrm{Sr}

are particularly promising combinations.

Helium atoms in the metastable

2^{3}S_{1}

state (

{\mathrm{He}}^{*}

) have unique advantages for ultracold atomic experiments. However, there is no known accessible Feshbach resonance in

{\mathrm{He}}^{*}

which could be used to manipulate the scattering length and hence unlock several new experimental possibilities. Previous experimental and theoretical studies for

{\mathrm{He}}^{*}

have produced contradictory results. We aimed to resolve this discrepancy with a theoretical search for Feshbach resonances, using a close-coupled model of

{\mathrm{He}}^{*}

collisions in the presence of an external magnetic field. Several resonances were detected and the existing literature discrepancy was resolved. Although none of the resonances identified are readily experimentally usable, an interesting non-Feshbach scattering length variation with magnetic field was observed in heteronuclear collisions, at field strengths that are experimentally accessible.