arXiv:1912.07395 · Physical Review Research

Beyond Born-Oppenheimer approximation in ultracold atomic collisions

Eberhard Tiemann, Philipp Gersema, Kai K. Voges, Torsten Hartmann, Alessandro Zenesini, Silke Ospelkaus

Published Mar 26, 2020• 20 citations

Abstract

This work observes deviations from the Born-Oppenheimer approximation already from ultracold diatomic collisions of K. To improve the potential energy curves, the most recent available data from all inter- and intra-isotope combinations of K as well as three newly measured $\mathit{\text{d}}$-wave Feshbach resonances in ${}^{39}\text{K}$ are used.

DOI: 10.1103/physrevresearch.2.013366

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arXiv:1912.07395 · Physical Review Research

Beyond Born-Oppenheimer approximation in ultracold atomic collisions

Eberhard Tiemann, Philipp Gersema, Kai K. Voges, Torsten Hartmann, Alessandro Zenesini, Silke Ospelkaus

Published Mar 26, 2020• 20 citations

arXiv HTML PDF

Abstract

\mathit{\text{d}}

-wave Feshbach resonances in

{}^{39}\text{K}

are used.

DOI: 10.1103/physrevresearch.2.013366

Related papers

Beyond Born-Oppenheimer approximation in ultracold atomic collisions

E. Tiemann, Philipp Gersema, Kai K. Voges +3 more

We report on deviations beyond the Born-Oppenheimer approximation in potassium interatomic potentials. Identifying three previously unknown d-wave Feshbach resonances, we significantly improve the understanding of the K39 interatomic potentials. Combining these observations with the most recent data on known inter- and intraisotope Feshbach resonances, we show that Born-Oppenheimer corrections can be determined from atomic collisional properties alone and that significant differences between the homo- and heteronuclear cases appear.We report on deviations beyond the Born-Oppenheimer approximation in potassium interatomic potentials. Identifying three previously unknown d-wave Feshbach resonances, we significantly improve the understanding of the K39 interatomic potentials. Combining these observations with the most recent data on known inter- and intraisotope Feshbach resonances, we show that Born-Oppenheimer corrections can be determined from atomic collisional properties alone and that significant differences between the homo- and heteronuclear cases appear.

Jan 1, 202014 citations

Born-Oppenheimer approximation for mass scaling of cold-collision properties

Stephan Falke, E. Tiemann, Christian Lisdat

Asymptotic levels of the $A$ $^{1}\ensuremath{\Sigma}_{u}^{+}$ state of the two isotopomers $^{39}\mathrm{K}_{2}$ and $^{39}\mathrm{K}^{41}\mathrm{K}$ up to the dissociation limit are investigated with a Doppler-free high resolution laser-spectroscopic experiment in a molecular beam. The observed level structure can be reproduced correctly only if a mass dependent correction term is introduced for the interaction potential. The applied relative correction in the depth of the potential is ${10}^{\ensuremath{-}6}$, which is in the order of magnitude expected for corrections of the Born-Oppenheimer approximation. A similar change in ground state potentials might lead to significant changes of mass-scaled properties describing cold collisions like the $s$ -wave scattering length.Asymptotic levels of the $A$ $^{1}\ensuremath{\Sigma}_{u}^{+}$ state of the two isotopomers $^{39}\mathrm{K}_{2}$ and $^{39}\mathrm{K}^{41}\mathrm{K}$ up to the dissociation limit are investigated with a Doppler-free high resolution laser-spectroscopic experiment in a molecular beam. The observed level structure can be reproduced correctly only if a mass dependent correction term is introduced for the interaction potential. The applied relative correction in the depth of the potential is ${10}^{\ensuremath{-}6}$, which is in the order of magnitude expected for corrections of the Born-Oppenheimer approximation. A similar change in ground state potentials might lead to significant changes of mass-scaled properties describing cold collisions like the $s$-wave scattering length.

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High-resolution Fourier transform spectroscopy was used to record fluorescence progressions of KLi formed in a heat pipe. Lithium isotope effects were used to derive the adiabatic correction to the Born-Oppenheimer potential for the electronic ground state over a wide range of internuclear separations. With a short extrapolation from the experimentally determined potential functions of the coupled states $X\text{ }{^{1}\ensuremath{\Sigma}}^{+}$ and $a\text{ }{^{3}\ensuremath{\Sigma}}^{+}$ toward their common atomic asymptote, we have improved the modeling of recently observed Feshbach resonances for the fermionic atom pair $^{6}\text{L}\text{i}$ and $^{40}\text{K}$ . Predictions for cold collisions between different isotopologues are presented using mass scaling with or without Born-Oppenheimer corrections. Predictions for Feshbach resonance positions differ by up to 0.5 G within reach of current experimental verification.High-resolution Fourier transform spectroscopy was used to record fluorescence progressions of KLi formed in a heat pipe. Lithium isotope effects were used to derive the adiabatic correction to the Born-Oppenheimer potential for the electronic ground state over a wide range of internuclear separations. With a short extrapolation from the experimentally determined potential functions of the coupled states $X\text{ }{^{1}\ensuremath{\Sigma}}^{+}$ and $a\text{ }{^{3}\ensuremath{\Sigma}}^{+}$ toward their common atomic asymptote, we have improved the modeling of recently observed Feshbach resonances for the fermionic atom pair $^{6}\text{L}\text{i}$ and $^{40}\text{K}$. Predictions for cold collisions between different isotopologues are presented using mass scaling with or without Born-Oppenheimer corrections. Predictions for Feshbach resonance positions differ by up to 0.5 G within reach of current experimental verification.

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Bulletin of the American Physical SocietyJun 4, 20130 citations

\mathit{\text{d}}

-wave Feshbach resonances in

{}^{39}\text{K}

are used.

Asymptotic levels of the

A

$^{1}\ensuremath{\Sigma}_{u}^{+}$ state of the two isotopomers

^{39}\mathrm{K}_{2}

and

^{39}\mathrm{K}^{41}\mathrm{K}

up to the dissociation limit are investigated with a Doppler-free high resolution laser-spectroscopic experiment in a molecular beam. The observed level structure can be reproduced correctly only if a mass dependent correction term is introduced for the interaction potential. The applied relative correction in the depth of the potential is ${10}^{\ensuremath{-}6}$, which is in the order of magnitude expected for corrections of the Born-Oppenheimer approximation. A similar change in ground state potentials might lead to significant changes of mass-scaled properties describing cold collisions like the

s

-wave scattering length.

^{39}\mathrm{K}

and

^{41}\mathrm{K}

. The

s

-wave scattering lengths as functions of the magnetic field strength for collisions between atoms in identical and different hyperfine states are obtained. Several Feshbach resonances are located and characterized for both isotopes. Comparison with experiments, where such data are available, show excellent agreement. We also study weakly bound molecular states of the

{\mathrm{K}}_{2}

molecule in close relation to the calculated Feshbach resonances. Another objective of the present work is to study inelastic collisions in which the hyperfine states of the colliding atoms are changed. From this type of calculation we obtain transition rates as functions of the magnetic field strength. Finally, we discuss how such transition rates might be of importance for experimental work.

^{6}\text{L}\text{i}

and

^{40}\text{K}

. Predictions for cold collisions between different isotopologues are presented using mass scaling with or without Born-Oppenheimer corrections. Predictions for Feshbach resonance positions differ by up to 0.5 G within reach of current experimental verification.