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

Abstract

Motivated by the impressive recent advance in manipulating cold ytterbium atoms we explore and substantiate the feasibility of realizing the Coqblin-Schrieffer model in a gas of cold fermionic ${}^{173}$Yb atoms. Making use of different AC polarizabillity of the electronic ground state (electronic configuration ${}^1{S}_0$) and the long lived metastable state (electronic configuration ${}^3{P}_0$), it is substantiated that the latter can be localized and serve as a magnetic impurity while the former remains itinerant. The exchange mechanism between the itinerant ${}^1{S}_0$ and the localized ${}^3{P}_0$ atoms is analyzed and shown to be antiferromagnetic. The ensuing SU(6) symmetric Coqblin-Schrieffer Hamiltonian is constructed, and, using the calculated exchange constant $J$, perturbative RG analysis yield the Kondo temperature $T_K$ that is experimentally accessible. A number of thermodynamic measurable 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).

17 pages, 11 eps figures, exchange interaction corrected

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Cited by in corpus (16)

• Non-Hermitian Kondo effect in ultracold alkaline-earth atoms
• Localized magnetic moments with tunable spin exchange in a gas of ultracold fermions
• Interaction Control of Ultracold Alkaline-Earth Atoms
• Phase diagram and dynamics of the SU($\mathbf{N}$) symmetric Kondo lattice model
• Thermoelectric Transport through SU(N) Kondo Impurity
• Multipolar Kondo Effect in ${}^1$S${}_0$-${}^3$P${}_2$ Mixture of ${}^{173}$Yb Atoms
• Nonlinear Seebeck effect of SU($N$) Kondo impurity
• One-dimensional two-orbital SU(N) ultracold fermionic quantum gases at incommensurate filling: a low-energy approach
• Poor man's scaling: anisotropic Kondo and Coqblin--Schrieffer models
• Orbital ordering of ultracold alkaline-earth atoms in optical lattices
• Effects of strong electron interactions and resonance scattering on power output of nano-devices
• Poor man's scaling: $XYZ$ Coqblin--Schrieffer model revisited
• Kondo Effect in a Spin-3/2 Fermi Gas
• The role of spin-flip assisted or orbital mixing tunneling on transport through strongly correlated multilevel quantum dot
• Laser Manipulation of Spin-Exchange Interaction Between Alkaline-Earth Atoms in ${}^1$S${}_0$ and ${}^3$P${}_2$ States
• Fractional shot noise of an SU(N) Kondo system