LETTER TO THE EDITOR: Exciting relative number-squeezed particles from condensates using stimulated light scattering
We investigate the relative particle number squeezing produced in the excited states of a weakly interacting condensate at zero temperature by stimulated light scattering using a pair of lasers. We shall show that a modest number of relative number-squeezed particles can be achieved when atoms with momentum k, produced in pairs through collisions in the condensate, are scattered out by their interaction with the lasers. This squeezing is optimal when the momentum k is larger than the inverse healing length, k>k0. This modest number of relative number-squeezed particles has the potential to be amplified in four-wave-mixing experiments.