Landau damping in trapped Bose-condensed gases

Abstract

We study Landau damping in dilute Bose-Einstein condensed gases in both spherical and prolate ellipsoidal harmonic traps. We solve the Bogoliubov equations for the mode spectrum in both of these cases, and calculate the damping by summing over transitions between excited quasiparticle states. The results for the spherical case are compared to those obtained in the Hartree-Fock approximation, where the excitations take on a single-particle character, and excellent agreement between the two approaches is found. We have also taken the semiclassical limit of the Hartree-Fock approximation and obtain a novel expression for the Landau damping rate involving the time dependent self-diffusion function of the thermal cloud. As a final approach, we study the decay of a condensate mode by making use of dynamical simulations in which both the condensate and thermal cloud are evolved explicitly as a function of time. A detailed comparison of all these methods over a wide range of sample sizes and trap geometries is presented.

arXiv comment18 pages, 13 figures, submitted to the New Journal of Physics focus issue on Quantum Gases

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• Damping of Condensate Oscillation of a Trapped Bose Gas in a One-Dimensional Optical Lattice at Finite Temperatures
• Quantum Decoherence of Phonons in Bose-Einstein Condensates
• Kinetic Model of Trapped Finite Temperature Binary Condensates
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• Damping of bulk excitations over an elongated BEC - the role of radial modes
• Stoner-Wohlfarth switching of the condensate magnetization in a dipolar spinor gas and the metrology of excitation damping
• A Non-Equilibrium Kinetic Theory for Trapped Binary Condensates
• A kinetic approach to Bose-Einstein condensates: self-phase modulation and Bogoliubov oscillations
• Enhancing exotic quantum fluctuations in a strongly entangled cavity BEC system
• Mechanism of collisionless sound damping in dilute Bose gas with condensate