For alkaline-earth atoms in a mixed-dimensional optical lattice, two tight-binding Kondo models are derived from exact two-body scattering, with parameters controllable by confinement; the common projection approximation is shown to fail at surprisingly small scattering lengths.
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Tight-Binding Kondo Model and Spin-Exchange Collision Rate of Alkaline-Earth Atoms in a Mixed-Dimensional Optical Lattice
For alkaline-earth atoms in a mixed-dimensional optical lattice, two tight-binding Kondo models are derived from exact two-body scattering, with parameters controllable by confinement; the common projection approximation is shown to fail at surprisingly small scattering lengths.