Collisionless modes of a trapped Bose gas

Abstract

We calculate the excitation frequencies of the m=0 monopole and m=2 quadrupole modes in the collisionless regime by solving a non-linear Schroedinger equation for the condensate, coupled to a collisionless Boltzmann equation for the quasiparticles. Since the dynamics of the noncondensate cloud is also taken into account, the theory satisfies the Kohn theorem. The spectrum turns out to be strongly temperature dependent and we compare our results with experiment.

6 pages of LaTeX and 1 postscript figure. Contribution to the meeting `New directions in atomic phycics' held in Cambridge this month

References in corpus (8)

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• Collective excitations of Bose-Einstein condensed gases at finite temperatures
• Two-Fluid Hydrodynamics for a Trapped Weakly-Interacting Bose Gas
• Low-energy elementary excitations of a trapped Bose-condensed gas
• Microscopic Treatment of Binary Interactions in the Non-Equilibrium Dynamics of Partially Bose-condensed Trapped Gases
• Damping of Hydrodynamic Modes in a Trapped Bose Gas above the Bose-Einstein Transition Temperature
• First and Second Sound Modes of a Bose-Einstein Condensate in a Harmonic Trap
• Relaxation Processes in Clouds of Trapped Bosons above the Bose-Einstein Condensation Temperature

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• Quadrupole collective modes in trapped finite-temperature Bose-Einstein condensates
• A number-conserving approach to a minimal self-consistent treatment of condensate and non-condensate dynamics in a degenerate Bose gas
• Mean field effects in a trapped classical gas
• Quantitative test of thermal field theory for Bose-Einstein condensates
• A Monte Carlo Formulation of the Bogolubov Theory
• The response of Bose-Einstein condensates to external perturbations at finite temperature
• Probing dipolar effects with condensate shape oscillation
• Accidental suppression of Landau damping of the transverse breathing mode in elongated Bose-Einstein condensates
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• Collective oscillations of a confined Bose gas at finite temperature in the random-phase approximation
• Kinetic Theory of Collective Excitations and Damping in Bose-Einstein Condensed Gases
• Conserving and gapless model of the weakly interacting Bose gas
• PGPE theory of finite temperature collective modes for a trapped Bose gas
• Damped Bogoliubov excitations of a condensate interacting with a static thermal cloud
• Landau damping in a collisionless dipolar Bose gas
• The Kohn mode for trapped Bose gases within the dielectric formalism
• Quantitative test of thermal field theory for Bose-Einstein condensates II
• Damping and revivals of collective oscillations in a finite-temperature model of trapped Bose-Einstein condensation
• Collapse and revival of the monopole mode of a degenerate Bose gas in an isotropic harmonic trap
• Finite temperature excitations of a trapped Bose-Fermi mixture
• Kohn's theorem in a superfluid Fermi gas with a Feshbach resonance
• Geometric squeezing of rotating quantum gases into the lowest Landau level
• Non-equilibrium Atomic Condensates and Mixtures: Collective Modes, Condensate Growth and Thermalization
• Frequency beating and damping of breathing oscillations of a harmonically trapped one-dimensional quasicondensate
• Undamped nonequilibrium dynamics of a nondegenerate Bose gas in a 3D isotropic trap
• Collective excitations of a dilute Bose gas at finite temperature: TDHFB Theory
• Trends in Resonance Energy Shifts and Decay Rates for Bose Condensates in a Harmonic Trap
• Hydrodynamic collective modes for cold trapped gases
• Coherently Scattering Atoms from an Excited Bose-Einstein Condensate
• Dynamic response of interacting one-dimensional fermions in the harmonic atom trap: Phase response and the inhomogeneous mobility
• Finite temperature oscillations of a Bose-Einstein condensate in a two-gas model
• Beyond Gross-Pitaevskii Mean Field Theory
• Collective Excitations of Harmonically Trapped Ideal Gases