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arXiv:cond-mat/0406208 · Physical Review Letters

Observation of Heteronuclear Feshbach Resonances in a Mixture of Bosons and Fermions

S. Inouye, J. Goldwin, M. L. Olsen, Christopher Ticknor, John L. Bohn, D. S. Jin

Published Oct 25, 2004• 307 citations
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Abstract

Three magnetic-field induced heteronuclear Feshbach resonances were identified in collisions between bosonic $^{87}\mathrm{R}\mathrm{b}$ and fermionic $^{40}\mathrm{K}$ atoms in their absolute ground states. Strong inelastic loss from an optically trapped mixture was observed at the resonance positions of 492, 512, and $543\ifmmode\pm\else\textpm\fi{}2\text{ }\text{ }\mathrm{G}$. The magnetic-field locations of these resonances place a tight constraint on the triplet and singlet cross-species scattering lengths, yielding $(\ensuremath{-}281\ifmmode\pm\else\textpm\fi{}15){a}_{0}$ and $(\ensuremath{-}54\ifmmode\pm\else\textpm\fi{}12){a}_{0}$, respectively. The width of the loss feature at 543 G is $3.7\ifmmode\pm\else\textpm\fi{}1.5\text{ }\text{ }\mathrm{G}$ wide; this broad Feshbach resonance should enable experimental control of the interspecies interactions.

DOI
10.1103/physrevlett.93.183201

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Three magnetic-field induced heteronuclear Feshbach resonances were identified in collisions between bosonic 87Rb^{87}\mathrm{R}\mathrm{b}87Rb and fermionic 40K^{40}\mathrm{K}40K atoms in their absolute ground states. Strong inelastic loss from an optically trapped mixture was observed at the resonance positions of 492, 512, and 543\ifmmode±\else\textpm\fi2  G543\ifmmode\pm\else\textpm\fi{}2\text{ }\text{ }\mathrm{G}543\ifmmode±\else\textpm\fi2  G. The magnetic-field locations of these resonances place a tight constraint on the triplet and singlet cross-species scattering lengths, yielding (\ensuremath−281\ifmmode±\else\textpm\fi15)a0(\ensuremath{-}281\ifmmode\pm\else\textpm\fi{}15){a}_{0}(\ensuremath−281\ifmmode±\else\textpm\fi15)a0​ and (\ensuremath−54\ifmmode±\else\textpm\fi12)a0(\ensuremath{-}54\ifmmode\pm\else\textpm\fi{}12){a}_{0}(\ensuremath−54\ifmmode±\else\textpm\fi12)a0​, respectively. The width of the loss feature at 543 G is 3.7\ifmmode±\else\textpm\fi1.5  G3.7\ifmmode\pm\else\textpm\fi{}1.5\text{ }\text{ }\mathrm{G}3.7\ifmmode±\else\textpm\fi1.5  G wide; this broad Feshbach resonance should enable experimental control of the interspecies interactions.
We report the experimental preparations of the absolute ground states of 87 Rb and 40 K atoms (| F = 1, m F = 1〉 + | F = 9/2, m F = −9/2〉) by means of the radio-frequency and microwave adiabatic rapid passages, and the observation of magnetic Feshbach resonances in an ultracold mixture of bosonic 87 Rb and fermionic 40 K atoms between 0 T and 6.0 × 10 −2 T, including 7 homonuclear and 4 heteronuclear Feshbach resonances. The resonances are identified by the abrupt trap loss of atoms induced by the strong inelastic three-body collisions. These Feshbach resonances should enable the experimental control of interspecies interactions.
We report on the observation of five Feshbach resonances in collisions between ultracold 7Li^{7}\mathrm{Li}7Li and 87Rb^{87}\mathrm{Rb}87Rb atoms in the absolute ground-state mixture where both species are in their $\ensuremath{\mid}f,{m}_{f}⟩=\ensuremath{\mid}1,1⟩$ hyperfine states. The resonances appear as trap losses for the 7Li^{7}\mathrm{Li}7Li cloud induced by inelastic heteronuclear three-body collisions. The magnetic field values where they occur are important quantities for an accurate determination of the interspecies interaction potentials. Results of coupled channels calculations based on the observed resonances are presented and refined potential parameters are given. A very broad Feshbach resonance centered around 649G649\phantom{\rule{0.3em}{0ex}}\mathrm{G}649G should allow for fine-tuning of the interaction strength in future experiments.
We perform extensive magnetic Feshbach spectroscopy of an ultracold mixture of fermionic 40K^{40}\mathrm{K}40K and bosonic 87Rb^{87}\mathrm{Rb}87Rb 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 sss-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.
We present a detailed study of interspecies Feshbach resonances of the bosonic 23Na+39K^{23}\mathrm{Na}+^{39}\mathrm{K}23Na+39K mixture for magnetic fields up to 750G750\phantom{\rule{0.16em}{0ex}}\mathrm{G}750G in various collision channels. A total of 14 Feshbach resonances are reported, as well as four zero crossings of the scattering length and three inelastic two-body loss features. We use the observed magnetic-field locations of the resonant features together with the known data on 23Na+40K^{23}\mathrm{Na}+^{40}\mathrm{K}23Na+40K to refine the singlet and triplet ground-state potentials of NaK and achieve a consistent description of Feshbach resonances for both the Bose-Bose mixture of 23Na+39K^{23}\mathrm{Na}+^{39}\mathrm{K}23Na+39K and the Bose-Fermi mixture of 23Na+40K^{23}\mathrm{Na}+^{40}\mathrm{K}23Na+40K. We also discuss the influence of the interplay between inelastic two-body and three-body processes on the observation of a Feshbach resonance.
We control the interspecies interaction in a two-species atomic quantum mixture by tuning the magnetic field at a Feshbach resonance. The mixture is composed by fermionic 40K^{40}\mathrm{K}40K and bosonic 87Rb^{87}\mathrm{Rb}87Rb. We observe effects of the large attractive and repulsive interaction energy across the resonance, such as collapse or a reduced spatial overlap of the mixture, and we accurately locate the resonance position and width. Understanding and controlling instabilities in this mixture opens the way to a variety of applications, including formation of heteronuclear molecular quantum gases.
We report on the observation of two Feshbach resonances in collisions between ultracold 6Li^{6}\mathrm{Li}6Li and 87Rb^{87}\mathrm{Rb}87Rb atoms in their respective hyperfine ground states $\ensuremath{\mid}F,{m}_{F}⟩=\ensuremath{\mid}1∕2,1∕2⟩$ and \ensuremath{\mid}1,1⟩. The resonances show up as trap losses for the 6Li^{6}\mathrm{Li}6Li cloud induced by inelastic Li-Rb-Rb three-body collisions. The magnetic field values where they occur represent important benchmarks for an accurate determination of the interspecies interaction potentials. A broad Feshbach resonance located at 1066.92G1066.92\phantom{\rule{0.3em}{0ex}}\mathrm{G}1066.92G opens interesting prospects for the creation of ultracold heteronuclear molecules. We furthermore observe a strong enhancement of the narrow ppp-wave Feshbach resonance in collisions of 6Li^{6}\mathrm{Li}6Li atoms at 158.55G158.55\phantom{\rule{0.3em}{0ex}}\mathrm{G}158.55G in the presence of a dense 87Rb^{87}\mathrm{Rb}87Rb cloud. The effect of the 87Rb^{87}\mathrm{Rb}87Rb cloud is to introduce Li-Li-Rb three-body collisions occurring at a higher rate than Li-Li-Li collisions.