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arXiv:1102.0572 · Physical Review A

Feshbach spectroscopy and analysis of the interaction potentials of ultracold sodium

Steven Knoop, T. Schuster, R. Scelle, A. Trautmann, J. Appmeier, Markus K. Oberthaler, Eite Tiesinga, E. Tiemann

Published Apr 8, 2011• 146 citations
arXivHTMLPDF

Abstract

We have studied magnetic Feshbach resonances in an ultracold sample of Na prepared in the absolute hyperfine ground state. We report on the observation of three $s$-, eight $d$-, and three $g$-wave Feshbach resonances, including a more precise determination of two known $s$-wave resonances, and one $s$-wave resonance at a magnetic field exceeding 200 mT. Using a coupled-channels calculation we have improved the sodium ground-state potentials by taking into account these new experimental data and derived values for the scattering lengths. In addition, a description of the molecular states leading to the Feshbach resonances in terms of the asymptotic-bound-state model is presented.

DOI
10.1103/physreva.83.042704

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We have studied magnetic Feshbach resonances in an ultracold sample of Na prepared in the absolute hyperfine ground state. We report on the observation of three sss-, eight ddd-, and three ggg-wave Feshbach resonances, including a more precise determination of two known sss-wave resonances, and one sss-wave resonance at a magnetic field exceeding 200 mT. Using a coupled-channels calculation we have improved the sodium ground-state potentials by taking into account these new experimental data and derived values for the scattering lengths. In addition, a description of the molecular states leading to the Feshbach resonances in terms of the asymptotic-bound-state model is presented.
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We have observed 26 interspecies Feshbach resonances at fields up to 2050 G in ultracold 6Li+23Na{}^{6}\text{Li}+{}^{23}\text{Na}6Li+23Na mixtures for different spin-state combinations. Applying the asymptotic bound-state model to assign the resonances, we found that most resonances have ddd-wave character. This analysis serves as guidance for a coupled-channel calculation, which uses modified interaction potentials to describe the positions of the Feshbach resonances well within the experimental uncertainty and to calculate their widths. The scattering length derived from the improved interaction potentials is experimentally confirmed and deviates from previously reported values in sign and magnitude. We give prospects for 7Li+23Na{}^{7}\text{Li}+{}^{23}\text{Na}7Li+23Na and predict broad Feshbach resonances suitable for tuning.
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We perform Feshbach spectroscopy in an ultracold mixture of 23Na^{23}\mathrm{Na}23Na and 40K^{40}\mathrm{K}40K with different spin-state combinations. We observed 24 new interspecies Feshbach resonances at magnetic fields up to 350 G. A full coupled-channel calculation is performed to assign these resonances. Among them, 12 resonances are identified as ddd-wave Feshbach resonances. These ddd-wave Feshbach resonances are about 5 G systematically smaller than the predictions based on the previous model potential. Taking into account these experimental results, we improve the Born-Oppenheimer potentials between Na and K and achieve good agreement between the theory and experiment for all the observed Feshbach resonances.
We explore the scattering properties of ultracold ground-state Cs atoms at magnetic fields between 450 G (45 mT) and 1000 G. We identify 17 new Feshbach resonances, including two very broad ones near 549 G and 787 G. We measure the binding energies of several different dimer states by magnetic field modulation spectroscopy. We use least-squares fitting to these experimental results, together with previous measurements at lower field, to determine a new 6-parameter model of the long-range interaction potential, designated M2012. Coupled-channels calculations using M2012 provide an accurate mapping between the s-wave scattering length and the magnetic field over the entire range of fields considered. This mapping is crucial for experiments that rely on precise tuning of the scattering length, such as those on Efimov physics.
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