An effective Hamiltonian for the Bose system in the mixture of ultracold atomic clouds of bosons and fermions is obtained by integrating out the Fermi degrees of freedom. An instability of the Bose system is found in the case of attractive interaction between components that is in good agreement with an experiment on the bosonic 87 Rb and fermionic 40 K mixture.

Journal of Experimental and Theoretical Physics LettersAug 1, 200424 citations

Experiments with Feshbach molecules in a Bose-Fermi mixture

Michele Lynn Olsen

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Bulletin of the American Physical Society

Experiments with mixtures of bosonic/fermionic isotopes of Rb

David M. Feldbaum, Mark Hausmann, Vieira David, Zhao Xinxin

Published May 18, 2005• 0 citations

OpenAlex

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Michele Lynn Olsen

Jan 1, 20087 citations

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.

We determine the interspecies

s

-wave triplet scattering length

{a}_{3}

for all K-Rb isotopic mixtures by measuring the elastic cross section for collisions between

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

and

^{87}\mathrm{R}\mathrm{b}

in different temperature regimes. The positive value ${a}_{3}=+{163}_{\ensuremath{-}12}^{+57}{a}_{0}$ ensures the stability against collapse of binary $^{41}\mathrm{K}\ensuremath{-}^{87}\mathrm{R}\mathrm{b}$ Bose-Einstein condensates. For the fermion-boson mixture $^{40}\mathrm{K}\ensuremath{-}^{87}\mathrm{R}\mathrm{b}$, we obtain a large and negative scattering length which implies an efficient sympathetic cooling of the fermionic species down to the degenerate regime.