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arXiv 2102.08656cond-mat.quant-gascond-mat.str-elquant-ph
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$\mathrm{SU}(N)$费米气体的态选择冷却

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

Aaron Merlin Müller, Miklós Lajkó, Florian Schreck, Frédéric Mila, Jiří Minář

摘要:

利用熵重分布理论研究了光晶格绝热加载过程中囚禁$\mathrm{SU}(N)$费米气体的组分选择性冷却过程。使用高温膨胀的哈伯德模型,我们表明,当一个子集$N_A < N$的单原子水平经历了更强的捕获势在一定区域的空间,凹坑,它导致改善冷却相比,只有一个$\mathrm{SU}(N_A)$费米气体。我们发现,当所有原子水平的经验相同的潜在的酒窝外,我们量化的冷却各种$N_A$通过评估的依赖性的最终熵密度和温度作为初始熵的函数时,达到最佳性能。此外,考虑到${}^{87}{\rm Sr}$和${}^{173}{\rm Yb}$的特异性,我们提供了一个定量的讨论,状态选择性捕获可以实现与现成的实验技术。

英文摘要:

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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