Control of Raman transitions between magnetic sublevels using circularly polarized light

We study magnetic properties of ultracold alkali atoms trapped in a magneto-optical trap or in the optical lattice. The basis set is made of multiple magnetic sublevels existing within the hyperfne states of $^{87}Rb$. To perform quantum operations on the magnetic sublevels, we make use of crafted optical pulses and pulse trains with various polarizations. We will discuss a possibility to control selective excitation from and to specific magnetic sublevels by circularly polarized light and its combination with the constant magnetic field.