Quasi-particle excitations and dynamical structure function of trapped Bose-condensates in the WKB approximation
arXiv:cond-mat/9711140 · doi:10.1103/PhysRevA.57.4669
Abstract
The Bogoliubov equations of the quasi-particle excitations in a weakly interacting trapped Bose-condensate are solved in the WKB approximation in an isotropic harmonic trap, determining the discrete quasi-particle energies and wave functions by torus (Bohr-Sommerfeld) quantization of the integrable classical quasi-particle dynamics. The results are used to calculate the position and strengths of the peaks in the dynamic structure function which can be observed by off-resonance inelastic light-scattering.
23 pages, Latex, 6 figures
References in corpus (6)
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- Collective and single particle excitations of a trapped Bose gas
- Hydrodynamic excitations of Bose condensates in anisotropic traps
- Excited states of a dilute Bose-Einstein condensate in a harmonic trap
- Classical quasi-particle dynamics in trapped Bose condensates
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- Bogoliubov excitation spectrum of an elongated condensate from quasi-one-dimensional to three-dimensional transition
- Trends in Resonance Energy Shifts and Decay Rates for Bose Condensates in a Harmonic Trap
- Simulating quantum transport for a quasi-one-dimensional Bose gas in an optical lattice: the choice of fluctuation modes in the truncated Wigner approximation
- Semiclassical Solution of the Quantum Hydrodynamic Equation for Trapped Bose-condensed Gas in the l=0 Case