Description
We theoretically study magnetic and orbital correlations in ultracold Fermi gases of alkaline-earth(-like) atoms in one-dimensional state-dependent optical lattices. In particular, with the calculated parameters in the two-orbital Hubbard model realized with ${}^{87}$Sr, ${}^{171}$Yb, and ${}^{173}$Yb atoms, we employ exact diagonalization and matrix product state approaches. We calculate spatial correlation functions in the spin and orbital sectors and construct effective diagrams in the space of variable densities of atomic components in different orbital states. We also examine antiferro-orbital and antiferromagnetic couplings in the strong-coupling limit. For small systems with the fixed number of particles, we study the evolution of correlation functions with temperature.
Presenter name | Valeriia Bilokon |
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