# Dipole Mode of Trapped Bose--Fermi Mixture Gas

## TL;DR

This paper studies the behavior of dipole collective modes in a trapped Bose-Fermi mixture gas at low temperatures, analyzing the transition between hydrodynamic and collisionless regimes using the Boltzmann equation.

## Contribution

It introduces a detailed analysis of dipole modes in a Bose-Fermi mixture, highlighting the temperature-dependent transition between different dynamical regimes.

## Key findings

- Identification of temperature-dependent transition of dipole modes
- Application of moment method to linearized Boltzmann equation
- Insights into collective mode behavior in quantum mixture gases

## Abstract

We investigate dipole modes in a trapped Bose--Fermi mixture gas in the normal phase, composed of single-species bosons and single-species fermions with $s$-wave scattering. In the extremely low temperature regime, Bose--Einstein statistics and Fermi--Dirac statistics may give rise to an interesting temperature dependence of collective modes. Applying the moment method to the linearized Boltzmann equation, we study the transition of the dipole modes between the hydrodynamic regime and the collisionless regime.