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A method of sideband Raman cooling to the vibrational ground state of the$m=0$ Zeeman sublevel in a far-detuned two-dimensional optical lattice isproposed. In our scheme, the Raman coupling between vibrational manifolds ofthe adjacent Zeeman sublevels is shifted to the red sideband due to the acStark effect induced by a weak pump field. Thus, cooling and optical pumping to$m=0$ is achieved by purely optical means with coplanar cw laser beams. Theoptical lattice and cooling parameters are estimated in the framework of simpletheoretical models. An application of the transverse sideband cooling method tofrequency standards is discussed. Coherent population trapping for the sidebandRaman transitions between the degenerate vibrational levels is predicted.

Two-dimensional sideband Raman cooling and Zeeman-state preparation in an optical lattice