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arXiv:1812.02810 · Physical Review A

Measurement of charge exchange between Na and Ca+ in a hybrid trap

Jonathan M. Kwolek, D. S. Goodman, Benjamin Slayton, R. Blümel, James E. Wells, Frank A. Narducci, W. W. Smith

Published May 24, 2019• 8 citations
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Abstract

We present measurements of the charge-exchange reaction rate between neutral sodium (Na) and ionized calcium (${\mathrm{Ca}}^{+}$) in a hybrid atom-ion trap, which is comprised of a Na magneto-optical trap concentric with a linear Paul trap. Once the Na and ${\mathrm{Ca}}^{+}$ are co-trapped, the reaction rate is measured by continuously quenching the reaction product ${\mathrm{Na}}^{+}$ from the ion trap, and then destructively measuring the decay of the remaining ion population. The reactants' electronic state and temperature are experimentally controlled, allowing us to determine the four individual reaction rates between $\text{Na}[S\phantom{\rule{4.pt}{0ex}}\text{or}\phantom{\rule{4.pt}{0ex}}P]$ and ${\text{Ca}}^{+}[S\phantom{\rule{4.pt}{0ex}}\text{or}\phantom{\rule{4.pt}{0ex}}D]$ at different collision energies. With the exception of the largest reaction-rate channel ($\text{Na}[P]+{\text{Ca}}^{+}[D]$), our rates are consistent with the classical Langevin rate limit. We have also found evidence of reactant collision-energy thresholds associated with two of the four entrance channels.

DOI
10.1103/physreva.99.052703

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We present measurements of the charge-exchange reaction rate between neutral sodium (Na) and ionized calcium (Ca+{\mathrm{Ca}}^{+}Ca+) in a hybrid atom-ion trap, which is comprised of a Na magneto-optical trap concentric with a linear Paul trap. Once the Na and Ca+{\mathrm{Ca}}^{+}Ca+ are co-trapped, the reaction rate is measured by continuously quenching the reaction product Na+{\mathrm{Na}}^{+}Na+ from the ion trap, and then destructively measuring the decay of the remaining ion population. The reactants' electronic state and temperature are experimentally controlled, allowing us to determine the four individual reaction rates between Na[SorP]\text{Na}[S\phantom{\rule{4.pt}{0ex}}\text{or}\phantom{\rule{4.pt}{0ex}}P]Na[SorP] and Ca+[SorD]{\text{Ca}}^{+}[S\phantom{\rule{4.pt}{0ex}}\text{or}\phantom{\rule{4.pt}{0ex}}D]Ca+[SorD] at different collision energies. With the exception of the largest reaction-rate channel (Na[P]+Ca+[D]\text{Na}[P]+{\text{Ca}}^{+}[D]Na[P]+Ca+[D]), our rates are consistent with the classical Langevin rate limit. We have also found evidence of reactant collision-energy thresholds associated with two of the four entrance channels.
Interactions between neutral and ionized atoms are medium-range, and the spiraling nature of these collisions can lead to long interaction times and large cross-sections. The field of ion-neutral interactions is bolstered by methods from atomic physics, which allow us to accurately control and determine the quantum-states of the reactants. Trapping techniques allow us to study these interactions over a large range of energies, in order to observe interesting effects from the ultracold to hot temperature regimes. This control allows us to analyze and determine specific channels for the reaction, allowing for theoretical verification.\nThe hybrid-trap enables the concentric trapping of a sample of cold atoms and ions. This work discusses our exploration into the controlled reactions in the textNa−textCa+\\text{Na}-\\text{Ca}^+textNa−textCa+ system, including measurements of sympathetic cooling and charge-exchange rates which change as a function of energy and molecular state. The quantum-state distributions of Na in our magneto-optical trap is also explored, as well as its agreement and subsequent deviation based on a predictive model. The measurements of reaction rate reveal that there are reaction-energy thresholds in two separate reaction pathways, which can be attributed to either an endothermic reaction pathway or an activation barrier due to quantum-mechanical interactions.
We present measurements of the total elastic and resonant charge-exchange ion-atom collision rate coefficient kia{k}_{\mathrm{ia}}kia​ of cold sodium (Na) with optically dark low-energy Na+{\mathrm{Na}}^{+}Na+ ions in a hybrid ion-neutral trap. To determine kia{k}_{\mathrm{ia}}kia​, we measured the trap loading and loss rates from both a Na magneto-optical trap (MOT) and a linear radio-frequency quadrupole Paul trap. We found the total rate coefficient to be $7.4\ifmmode\pm\else\textpm\fi{}1.9\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}8}\phantom{\rule{0.28em}{0ex}}{\mathrm{cm}}^{3}/\mathrm{s}$ for the type-I Na MOT immersed within an $\ensuremath{\approx}140\ensuremath{-}\mathrm{K}$ ion cloud and $1.10\ifmmode\pm\else\textpm\fi{}0.25\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}7}\phantom{\rule{0.28em}{0ex}}{\mathrm{cm}}^{3}/\mathrm{s}$ for the type-II Na MOT within an $\ensuremath{\approx}1070\ensuremath{-}\mathrm{K}$ ion cloud. Our measurements show excellent agreement with previously reported theoretical fully quantal ab initio calculations. In the process of determining the total rate coefficient, we demonstrate that a MOT can be used to probe an optically dark ion cloud's spatial distribution within a hybrid trap.
An ion–neutral hybrid trap is built to study low-energy ion–atom collisions. The ion–neutral hybrid trap is combined with two spatially concentric traps: a linear Paul trap for the ionic species and a magneto-optical trap (MOT) for the neutral species. The total ion–atom collision rate coefficient between 87 Rb atoms and optically dark 87 Rb + ions is measured by monitoring the reduction of the steady-state MOT atoms by sequentially introducing various mechanisms, namely photoionization and ion–atom collisions. In contrast to other experiments, a concise experimental procedure is devised to obtain the loss rates of the MOT atoms due to photoionization and ion–atom collisions in one experimental cycle, and then the collision rate of cold 87 Rb atoms with 87 Rb + ions is deduced to m 3 / s with K measured by the time of flight of the ion signal. The measurements show good agreement with the collision rate derived from the Langevin model.
We present model-independent measurements of the excited-state population of atoms in a sodium (Na) magneto-optical trap (MOT) using a hybrid ion-neutral trap composed of a MOT and a linear Paul trap (LPT). We photoionize excited Na atoms trapped in the MOT and use two independent methods to measure the resulting ions: directly by trapping them in our LPT, and indirectly by monitoring changes in MOT fluorescence. By measuring the ionization rate via these two independent methods, we have enough information to directly determine the population of MOT atoms in the excited state. The resulting measurement reveals that there is a range of trapping-laser intensities where the excited-state population of atoms in our MOT follows the standard two-level model intensity dependence. However, an experimentally determined effective saturation intensity must be used instead of the theoretically predicted value from the two-level model. We measured the effective saturation intensity to be ${I}_{\mathrm{SE}}=22.9\ifmmode\pm\else\textpm\fi{}5.1\phantom{\rule{0.222222em}{0ex}}\mathrm{mW}/{\mathrm{cm}}^{2}$ for the type-I Na MOT and ${I}_{\mathrm{SE}}=49\ifmmode\pm\else\textpm\fi{}11\phantom{\rule{0.28em}{0ex}}\mathrm{mW}/{\mathrm{cm}}^{2}$ for the type-II Na MOT, approximately 1.7 and 3.6 times the theoretical estimate, respectively. Lastly, at large trapping-laser intensities, our experiment reveals a clear departure from the two-level model at a critical intensity that we believe is due to a state-mixing effect, the critical intensity of which can be determined by a simple power broadening model.
Cold ion-neutral reactive processes were studied in an hybrid trap down to average collision energies <E_coll>/k_B > 20 mK. The atomic ion-neutral systems Ca^+ + Rb and Ba^+ + Rb were studied, and the results interpreted with high-level quantum chemical and quantum scattering calculations. Three reactive processes were found to be in competition, namely non-radiative charge transfer induced by non-adiabatic couplings between potential energy surfaces, radiative charge transfer, and radiative association of molecular ions, which were observed using mass spectrometry. The role of light in these processes was investigated. Enhancement of reaction rate constants from electronically excited entrance channels was observed and rationalised using computed potential energy curves. The collision-energy dependence of the reaction rate constants was investigated, and was found to be in line with predictions of both classical and quantum models uncovering general effects in cold ion-neutral systems. Cold reactions in the molecular ion-neutral system N_2^+ + Rb were also investigated with average collision energies two orders of magnitude lower than previously realised. The reaction rate constant in this system was found to depend strongly on the Rb ^2P_3/2 population, with the rate constant from the corresponding excited entrance channel being significantly faster than the collision rate predicted by Langevin theory. A classical capture model was developed taking into account the charge permanent-quadrupole intermolecular force and was found to reproduce the observed rate. The implied near unit reaction probability was rationalised by a near electronic resonance of entrance and product channels. A detailed description of the implementation of the ion-neutral hybrid trap is given. A thorough comparison of the results from state-of-the-art experiments and theory reveals general features of light assisted cold ion-neutral reactions. \n
Cold ion-neutral chemistry: Measurement of charge-exchange reaction rates in the Na+Ca+\textrm{Na} + \textrm{Ca}^+Na+Ca+ system using a hybrid atom- ion trap