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 > k 0 . This modest number of relative number-squeezed particles has the potential to be amplified in four-wave-mixing experiments.