Monopole Oscillations and Dampings in Boson and Fermion Mixture in the Time-Dependent Gross-Pitaevskii and Vlasov Equations

TL;DR

This paper develops a dynamical model using coupled equations to study monopole oscillations in boson-fermion mixtures, revealing significant damping of fermion oscillations even at zero temperature.

Contribution

It introduces a combined time-dependent Gross-Pitaevsky and Vlasov framework to analyze collective oscillations in boson-fermion systems.

Findings

Large damping observed in fermion monopole oscillations at zero temperature

Model captures the coupled dynamics of bosons and fermions

Provides insights into damping mechanisms in quantum mixtures

Abstract

We construct a dynamical model for the time evolution of the boson-fermion coexistence system. The dynamics of bosons and fermions are formulated with the time-dependent Gross-Pitaevsky equation and the Vlasov equation. We thus study the monopole oscillation in the bose-fermi mixture. We find that large damping exists for fermion oscillations in the mixed system even at zero temperature.