We extract the shear viscosity to entropy density ratio eta/s of cold fermionic atoms in the unitarity limit from experimental data on the damping of collective excitations. We find that near the critical temperature eta/s is roughly equal to 1/2 in units of h/k(B). With the possible exception of the quark gluon plasma, this value is closer to the conjectured lower bound 1/(4 pi) than any other known liquid.
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