In particular, we choose the and hyperfine states of the 52S1/2 ground state manifold of 87Rb and the and hyperfine states of the 62S1/2 ground state manifold of 133Cs. The first term of equation (2) can be realized with a coherent driving field of amplitude ai coupling the and states for both physical and ancilla atoms, written in a rotating frame. The second term is obtained using single-particle AC-Stark shifts from off-resonant laser coupling of the spin state to low-lying states using a digital micro-mirror device24. The strenght of these fields can be easily varied as a function of time, thus implementing the sweep coefficients At and Bt in equation (2).