We study the formation of quantum droplets in the mixture of a single-component Bose-Einstein condensate (BEC), and a two-species Fermi superfluid across a wide Feshbach resonance. With repulsive boson-boson and attractive boson-fermion interactions, we show that quantum droplets can be stabilized by attractive fermion-fermion interactions in the Bardeen-Cooper-Schieffer (BCS) side of the resonance, and can also exist in deep BEC regime under weak boson-fermion interactions. We map out the phase diagram for stable droplets with respect to the boson-boson and boson-fermion interactions, and discuss the role of different types of quantum fluctuations in the relevant regions of the BCS-BEC crossover. Our work reveals the impact of fermion pairing on the formation of quantum droplets in Bose-Fermi mixtures, and provides a useful guide for future experiments.

中文翻译：

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玻色-费米超流体混合物中的量子液滴

我们研究了单组分玻色-爱因斯坦凝聚物 (BEC) 和跨越宽 Feshbach 共振的两种费米超流体的混合物中量子液滴的形成。通过排斥性玻色子和吸引性玻色子 - 费米子相互作用，我们表明量子液滴可以通过共振的 Bardeen-Cooper-Schieffer (BCS) 一侧的吸引性费米子 - 费米子相互作用来稳定，并且也可以存在于深 BEC 状态下弱玻色子-费米子相互作用。我们绘制了关于玻色子-玻色子和玻色子-费米子相互作用的稳定液滴的相图，并讨论了不同类型的量子涨落在 BCS-BEC 交叉相关区域中的作用。我们的工作揭示了费米子配对对玻色-费米混合物中量子液滴形成的影响，