Stability and collective excitations of a two-component Bose-Einstein condensed gas: A moment approach
T. Busch, J. I. Cirac, V. M. Pérez-García, P. Zoller
Physical Review A, 56, 2978-2983 (1997).
Pérez García, Victor M..
The dynamics of a two-component dilute Bose-Einstein 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 wave function, where the free parameters of the trial wave function 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-Einstein condensates.