  We propose a novel realization of Kondo physics with ultracold atomic gases.
It is based on a Fermi sea of two different hyperfine states of one atom
species forming bound states with a different species, which is spatially
confined in a trapping potential. We show that different situations displaying
Kondo physics can be realized when Feshbach resonances between the species are
tuned by a magnetic field and the trapping frequency is varied. We illustrate
that a mixture of ${}^{40}$K and ${}^{23}$Na atoms can be used to generate a
Kondo correlated state and that momentum resolved radio frequency spectroscopy
can provide unambiguous signatures of the formation of Kondo resonances at the
Fermi energy. We discuss how tools of atomic physics can be used to investigate
open questions for Kondo physics, such as the extension of the Kondo screening
cloud.
