Stability and collective excitations of a two-component Bose-condensed gas: a moment approach
arXiv:cond-mat/9705008 · doi:10.1103/PhysRevA.56.2978
Abstract
The dynamics of a two-component dilute Bose gas of atoms at zero temperature is described in the mean field approximation by a two-component Gross-Pitaevskii Equation. We solve this equation assuming a Gaussian shape for the wavefunction, where the free parameters of the trial wavefunction are determined using a moment method. We derive equilibrium states and the phase diagrams for the stability for positive and negative s-wave scattering lengths, and obtain the low energy excitation frequencies corresponding to the collective motion of the two Bose condensates.
7 pages, 6 figures