Polarizing the medium: Fermion-mediated interactions between bosons

@article{Zheng2020PolarizingTM,
  title={Polarizing the medium: Fermion-mediated interactions between bosons},
  author={D. Zheng and Chun-Rong Ye and Lin Wen and Renyuan Liao},
  journal={arXiv: Quantum Gases},
  year={2020}
}
We consider a homogeneous mixture of bosons and polarized fermions. We find that long-range and attractive fermion-mediated interactions between bosons have dramatic effects on the properties of the bosons. We construct the phase diagram spanned by boson-fermion mass ratio and boson-fermion scattering parameter. It consists of stable region of mixing and unstable region toward phase separation. In stable mixing phase, the collective long-wavelength excitations can either be well-behaved with… 

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