A Simple Mean-Field Model of Steady-State Magnetoassociation of an Atomic BEC in a Feschbach Resonance

We investigate a simple mean-field model describing magnetoassociation of a single species atomic Bose-Einstein condensate in the presence of a Feschbach resonance. The Hamiltonian, which allows for the creation and destruction of Bose- condensed molecules, leads to Heisenberg equations of motion which are solved analytically in the steady state for the classical quantities of the occupancies of the atomic and molecular condensates and the anaomalous pairing ampitudes. Approximations include the elimination of non-condensed molecules.