Positive-P simulations of spin squeezing in a two-component Bose condensate

The collisional interaction in a Bose condensate represents a nonlinearity that in analogy with nonlinear optics gives rise to unique quantum features. In this paper, we apply a Monte Carlo method based on the positive-P pseudoprobability distribution from quantum optics to analyze the efficiency of spin squeezing by collisions in a two-component condensate. The squeezing can be controlled by choosing appropiate collision parameters or by manipulating the motional states of the two components.