By analyzing breathing mode of a Bose-Einstein condensate repulsively interacting with a polarized fermionic cloud, we further the understanding of a Bose-Fermi mixture recently realized by Lous et al. [{Phys. Rev. Lett.} 120, 243403]. We show that a hydrodynamic description of a domain wall between bosonic and fermionic atoms reproduces experimental data of Huang et al. [{Phys. Rev. A} 99, 041602(R)]. Two different types of interaction renormalization are explored, based on lowest order constrained variational and perturbation techniques. In order to replicate nonmonotonic behavior of the oscillation frequency observed in the experiment, temperature effects have to be included. We find that the frequency down-shift is caused by the fermion-induced compression and rethermalization of the bosonic species as the system is quenched into the strongly interacting regime.

中文翻译：

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浸入费米海中的玻色-爱因斯坦凝聚物的呼吸模式

通过分析与极化铁离子云排斥相互作用的玻色-爱因斯坦凝聚物的呼吸模式，我们进一步了解了Lous等人最近实现的玻色-费米混合物。[{物理 Rev.Lett。} 120，243403]。我们表明，在玻色子和铁离子原子之间的畴壁的流体力学描述再现了黄等人的实验数据。[{物理 修订版A} 99，041602（R）]。基于最低阶约束变分和摄动技术，探索了两种不同类型的交互重新规格化。为了复制实验中观察到的振荡频率的非单调行为，必须包括温度影响。