A method is proposed to produce atomic ensembles with sub-Poissonian atom number distributions. The method consists in removing the excess atoms using the interatomic interactions induced by Rydberg dressing. The selective removal of atoms occurs via spontaneous decay into untrapped states using an electromagnetically induced transparency scheme. Ensembles with the desired number of atoms can be produced almost deterministically. Numerical simulations predict a strong reduction of the atom number fluctuations, with the variance twenty times less than the Poisson noise level (the predicted Fano factor is $F\simeq 0.05$). Strikingly, the method is suitable for both fermions and bosons. It solves the problem of the atom number fluctuations in bosons, whose weak interactions have usually been an obstacle to control the number of atoms.

中文翻译：

---

利用Rydberg敷料和电磁感应透明性的亚泊松原子数分布

提出了一种产生具有亚泊松原子数分布的原子集合体的方法。该方法包括利用由里德堡敷料引起的原子间相互作用去除多余的原子。使用电磁感应的透明方案，原子自发地衰减为未捕获的状态，从而有选择地去除原子。具有所需原子数的集合几乎可以确定地产生。数值模拟预测原子数波动会大大降低，其方差比泊松噪声水平小二十倍（预测的Fano因子为$F\simeq 0.05$）。令人惊讶的是，该方法适用于费米子和玻色子。它解决了玻色子中原子数波动的问题，玻色子的弱相互作用通常是控制原子数的障碍。