Dipole Oscillations in Bose - Fermi Mixture in the Time-Dependent Grosspitaevskii and Vlasov equations

Abstract

We study the dipole collective oscillations in the bose-fermi mixture using a dynamical time-dependent approach, which are formulated with the time-dependent Gross-Pitaevskii equation and the Vlasov equation. We find big difference in behaviors of fermion oscillation between the time-dependent approach and usual approaches such as the random-phase approximation and the sum-rule approach. While the bose gas oscillates monotonously, the fermion oscillation shows a beat and a damping. When the amplitude is not minimal, the dipole oscillation of the fermi gas cannot be described with a simple center-of-mass motion.

17 pages text, and 15 figures

References in corpus (1)

• Collective excitations in trapped boson-fermion mixtures: from demixing to collapse

Cited by in corpus (5)

• Dipole dynamics of an interacting bosonic mixture
• Trapped Phase-Segregated Bose-Fermi Mixtures and their Collective Excitations
• Dipole modes of a trapped bosonic mixture: Fate of the sum-rule approach
• Deformation Dependence of Breathing Oscillations in Bose - Fermi Mixtures at Zero Temperature
• Collective Excitations of Harmonically Trapped Ideal Gases