Acoustic attenuation rate in the Fermi-Bose model with a finite-range fermion-fermion interaction

TL;DR

This paper investigates how the acoustic attenuation rate in a Fermi-Bose mixture changes across the BEC-BCS crossover, revealing signatures of superfluidity through the shape of attenuation as a function of boson energy.

Contribution

It introduces a mean-field model with finite-range fermion-fermion interactions to analyze attenuation rate changes during the BEC-BCS crossover at zero temperature.

Findings

Attenuation rate varies dramatically across the crossover.

Shape of attenuation rate indicates superfluidity.

Finite-range interactions influence the attenuation behavior.

Abstract

We study the acoustic attenuation rate in the Fermi-Bose model describing a mixtures of bosonic and fermionic atom gases. We demonstrate the dramatic change of the acoustic attenuation rate as the fermionic component is evolved through the BEC-BCS crossover, in the context of a mean-field model applied to a finite-range fermion-fermion interaction at zero temperature, such as discussed previously by M.M. Parish et al. [Phys. Rev. B 71, 064513 (2005)] and B. Mihaila et al. [Phys. Rev. Lett. 95, 090402 (2005)]. The shape of the acoustic attenuation rate as a function of the boson energy represents a signature for superfluidity in the fermionic component.