Breathing Mode of a Bose-Einstein Condensate Immersed in a Fermi Sea

TL;DR

This paper investigates the breathing mode of a Bose-Einstein condensate immersed in a Fermi sea, using hydrodynamic models and interaction renormalization to explain experimental observations, including temperature effects and frequency shifts.

Contribution

It introduces a hydrodynamic approach to model the Bose-Fermi mixture and explores interaction renormalization methods to match experimental data, highlighting temperature's role in frequency behavior.

Findings

Hydrodynamic model reproduces experimental breathing mode data.

Interaction renormalization explains nonmonotonic frequency shifts.

Temperature effects are crucial for accurate modeling.

Abstract

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. [\textit{Phys. Rev. Lett.} \textbf{120}, 243403]. We show that a hydrodynamic description of a domain wall between bosonic and fermionic atoms reproduces experimental data of Huang et al. [\textit{Phys. Rev. A} \textbf{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.