can be reached. Cooling into highly sought-after quantum phases (such as an antiferromagnet) can thus be achieved. We show that this procedure is robust against variations of the experimental conditions.

DOI: 10.1103/physreva.79.061601

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s

, can typically be reduced by a factor of 10 such that entropies lower than

s/{k}_{B}\ensuremath{\sim}0.2

s

, can typically be reduced by a factor of 10 such that entropies lower than

s/k_B \sim 0.2

T/{T}_{F}~0.003

and an entropy per particle of

s~0.02 {k}_{B}

We investigate a species selective cooling process of a trapped

\mathrm{SU}(N)

Fermi gas using entropy redistribution during adiabatic loading of an optical lattice. Using high-temperature expansion of the Hubbard model, we show that when a subset

{N}_{A}<N

of the single-atom levels experiences a stronger trapping potential in a certain region of space, the dimple, it leads to improvement in cooling as compared to an

\mathrm{SU}({N}_{A})

Fermi gas only. We show that optimal performance is achieved when all atomic levels experience the same potential outside the dimple and we quantify the cooling for various

{N}_{A}

by evaluating the dependence of the final entropy densities and temperatures as functions of the initial entropy. Furthermore, considering

^{87}\mathrm{Sr}

and

^{173}\mathrm{Yb}

for specificity, we provide a quantitative discussion of how the state selective trapping can be achieved with readily available experimental techniques.

\sim 0.03k_B

per particle) by trapping fermions in a corral formed from another species of atoms. The Fermi system can then be used as a heat sink, or it can be adiabatically evolved into other desired states. In particular, we suggest methods for generating antiferromagnetism using this technique.