State selective cooling of SU(N) Fermi gases

We investigate a species selective cooling process of trapped $\mathrm{SU}(N)$ Fermi gas using entropy redistribution during adiabatic loading an optical lattice. Using high-temperature expansion the Hubbard model, we show that when subset $N_A < N$ single-atom levels experiences stronger trapping potential in certain region space, dimple, it leads to improvement as compared $\mathrm{SU}(N_A)$ only. optimal performance is achieved all atomic experience same outside dimple and quantify for various $N_A$ by evaluating dependence final densities temperatures functions initial entropy. Furthermore, considering ${}^{87}{\rm Sr}$ ${}^{173}{\rm Yb}$ specificity, provide quantitative discussion how state can be with readily available experimental techniques.