Mediated Interactions and Damping Effects in Superfluid Mixtures of Bose and Fermi Gases

• URL: http://arxiv.org/abs/2503.00471v1
• Date: Sat, 01 Mar 2025 12:55:40 GMT
• Title: Mediated Interactions and Damping Effects in Superfluid Mixtures of Bose and Fermi Gases
• Authors: Dong-Chen Zheng, Yu-Xin Liao, Wen Lin, Renyuan Liao,
• Abstract summary: We investigate the homogeneous superfluid mixtures of Bardeen-Cooper-Schrieffer(BCS) superfluids.<n>By integrating out the freedoms associated with the BCS superfluid, we derive the fermion-mediated interactions between bosons.<n>By analyzing the Bogoliubov spectrum and the damping rate of bosonic superfluid, we map out the phase diagram spanned by the boson-fermion mass ratio and the boson-fermion coupling strength.
• Score: 0.08999666725996974
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the homogeneous superfluid mixtures of Bardeen-Cooper-Schrieffer~(BCS) superfluid originating from pairing two-species fermionic atoms and superfluidity stemming from condensation of bosonic atoms. By integrating out the freedoms associated with the BCS superfluid, we derive the fermion-mediated interactions between bosons, which is attractive and can be tuned from long range in the BCS region to short range in the region of Bose-Einstein condensation (BEC) of molecular dimers. By analyzing the Bogoliubov spectrum and the damping rate of bosonic superfluid, we map out the phase diagram spanned by the boson-fermion mass ratio and the boson-fermion coupling strength, which consists of a phase separation region and two phase mixing regions with and without Landau damping. The three different phases can coexist at a tricritical point, which moves toward low boson-fermion mass ratio and high boson-fermion scattering length as the fermion-fermion interaction strength is tuned up on the BCS side.

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