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

• URL: http://arxiv.org/abs/2102.08656v2
• Date: Sat, 12 Jun 2021 13:47:27 GMT
• Title: State selective cooling of $\mathrm{SU}(N)$ Fermi-gases
• Authors: Aaron Merlin M\"uller, Mikl\'os Lajk\'o, Florian Schreck, Fr\'ed\'eric Mila and Ji\v{r}\'i Min\'a\v{r}
• Abstract summary: We investigate a species selective cooling process of a trapped $mathrmSU(N)$ Fermi gas using entropy redistribution. 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 $mathrmSU(N_A)$ Fermi gas only.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 ${}^{87}{\rm Sr}$ and ${}^{173}{\rm Yb}$ for specificity, we provide a quantitative discussion of how the state selective trapping can be achieved with readily available experimental techniques.

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