State selective cooling of $\mathrm{SU}(N)$ Fermi-gases

Abstract

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 a $\mathrm{SU}(N_A)$ 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.

arXiv comment8+3 pages, 4+1 figures

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Cited by in corpus (3)

• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• Unit-density SU(3) Fermi-Hubbard Model with Spin Flavor Imbalance