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.

arXiv comment17 pages text, and 15 figures

References in corpus (31)

• Theory of Bose-Einstein condensation in trapped gases
• A quasi-pure Bose-Einstein condensate immersed in a Fermi sea
• Theory of the Weakly Interacting Bose Gas
• Two-species mixture of quantum degenerate Bose and Fermi gases
• Inter-isotope determination of ultracold rubidium interactions from three high-precision experiments
• Fermi-Bose quantum degenerate ^40 K - ^87 Rb mixture with attractive interaction
• All-Optical Production of a Degenerate Fermi Gas
• Zero-temperature phase diagram of binary boson-fermion mixtures
• Phonon exchange in dilute Fermi-Bose mixtures: tailoring the Fermi-Fermi interaction
• Fifty-fold improvement in the number of quantum degenerate fermionic atoms
• The transverse breathing mode of an elongated Bose-Einstein condensate
• Mean-field instability of trapped dilute boson-fermion mixtures
• Study of High Energy Heavy-Ion Collisions in a Relativistic BUU-Approach with Momentum-Dependent Mean-Fields
• Component separation in harmonically trapped boson-fermion mixtures
• Modelling Bose-condensed gases at finite temperatures with $N$-body simulations
• Mean-field analysis of the stability of a K-Rb Fermi-Bose mixture
• Excitation spectrum and instability of a two-species Bose-Einstein condensate
• Induced instability for boson-fermion mixed condensate of Alkali atoms due to attractive boson-fermion interaction
• Temperature-dependent density profiles of trapped boson-fermion mixtures
• Collective excitations in trapped boson-fermion mixtures: from demixing to collapse
• Sum Rule Approach to Collective Oscillations of Boson-Fermion Mixed Condensate of Alkali Atoms
• Collective Modes in a Dilute Bose-Fermi Mixture
• Collisionless and hydrodynamic excitations of trapped boson-fermion mixtures
• Zero sound density oscillations in Fermi-Bose mixtures
• Random-phase approximation study of collective excitations in the Bose-Fermi mixed condensate of alkali-metal gases
• Quantum degeneracy and interaction effects in spin-polarized Fermi-Bose mixtures
• Monopole Oscillations and Dampings in Boson and Fermion Mixture in the Time-Dependent Gross-Pitaevskii and Vlasov Equations
• Static Properties of Trapped Bose-Fermi Mixed Condensate of Alkali Atoms
• Diffraction of a superfluid Fermi gas by an atomic grating
• A Variational Sum-Rule Approach to Collective Excitations of a Trapped Bose-Einstein Condensate
• Raman coupler for a trapped two-component quantum-degenerate Fermi gas

Cited by in corpus (9)

• Dipole dynamics of an interacting bosonic mixture
• Trapped Phase-Segregated Bose-Fermi Mixtures and their Collective Excitations
• Quadrupole Oscillations in Bose-Fermi Mixtures of Ultracold Atomic Gases made of Yb atoms in the Time-Dependent Gross-Pitaevskii and Vlasov equations
• Soliton appearing in boson-fermion mixture at the third order of the interaction radius
• Dipole modes of a trapped bosonic mixture: Fate of the sum-rule approach
• Breathing Oscillations in Bose - Fermi Mixing Gases with Yb atoms in the Largely Prolate Deformed Traps
• Deformation Dependence of Breathing Oscillations in Bose - Fermi Mixtures at Zero Temperature
• Breathing oscillations and quasi-low-dimensional structures of weakly-interacting degenerate Fermi gases in highly-anisotropic traps
• Collective Excitations of Harmonically Trapped Ideal Gases