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• W2061598596 abstract "We study a dilute mixture of degenerate bosons and fermions across a Feshbach resonance of the Fermi-Fermi scattering length ${a}_{F}$. This scattering length is renormalized by the boson-induced interaction between fermions and its value is crucial to determine the phase diagram of the system. For the mixture in a box and a positive Bose-Fermi scattering length, we show that there are three possibilities: A single uniform mixed phase, a purely fermionic phase coexisting with a mixed phase, and a purely fermionic phase coexisting with a purely bosonic one. As $1∕{a}_{F}$ is increased from a negative value to the Feshbach resonance $(1∕{a}_{F}=0)$, the region of pure separation increases and the other two regions are strongly reduced. Above the Feshbach resonance $(1∕{a}_{F}>0)$, pairs of Fermi atoms become Bose-condensed molecules. We find that these molecules are fully spatially separated from the bosonic atoms when $1∕{a}_{F}$ exceeds a critical value. For a negative Bose-Fermi scattering length we deduce the condition for collapse, which coincides with the onset of dynamical instability of the fully mixed phase. We consider also the mixture in a harmonic trap and determine the conditions for partial demixing, full demixing, and collapse. The experimental implications of our results are investigated by analyzing mixtures of $^{6}mathrm{Li}text{ensuremath{-}}^{23}mathrm{Na}$ and $^{40}mathrm{K}text{ensuremath{-}}^{87}mathrm{Rb}$ atoms." @default.
• W2061598596 created "2016-06-24" @default.
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• W2061598596 date "2007-01-25" @default.
• W2061598596 modified "2023-09-23" @default.
• W2061598596 title "Fermi-Bose mixture across a Feshbach resonance" @default.
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• W2061598596 doi "https://doi.org/10.1103/physreva.75.013623" @default.
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