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Motivated by the impressive recent advance in manipulating cold ytterbiumatoms we explore and substantiate the feasibility of realizing theCoqblin-Schrieffer model in a gas of cold fermionic $^{173}$Yb atoms. Makinguse of different AC polarizabillity of the electronic ground state (electronicconfiguration $^1S_0$) and the long lived metastable state (electronicconfiguration $^3P_0$), it is substantiated that the latter can be localizedand serve as a magnetic impurity while the former remains itinerant. Theexchange mechanism between the itinerant $^1S_0$ and the localized $^3P_0$atoms is analyzed and shown to be antiferromagnetic. The ensuing SU(6)symmetric Coqblin-Schrieffer Hamiltonian is constructed, and, using thecalculated exchange constant $J$, perturbative RG analysis yield the Kondotemperature $T_K$ that is experimentally accessible. A number of thermodynamicmeasurable observables are calculated in the weak coupling regime $T>T_K$(using perturbative RG analysis) and in the strong coupling regime $T<T_K$(employing known Bethe ansatz techniques).

Coqblin-Schrieffer Model for an Ultra-cold Gas of Ytterbium atoms with Metastable States