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We investigate the influence of two resonant laser beams on the mechanicalproperties of degenerate atomic gases. The control and probe beams of light areconsidered to have Orbital Angular Momenta (OAM) and act on the three-levelatoms in the Electromagnetically Induced Transparency (EIT) configuration. Thetheory is based on the explicit analysis of the quantum dynamics of cold atomscoupled with two laser beams. Using the adiabatic approximation, we obtain aneffective equation of motion for the atoms driven to the dark state. Theequation contains a vector potential type interaction as well as an effectivetrapping potential. The effective magnetic field is shown to be oriented alongthe propagation direction of the control and probe beams containing OAM. Itsspatial profile can be controlled by choosing proper laser beams. Wedemonstrate how to generate a constant effective magnetic field, as well as afield exhibiting a radial distance dependence. The resulting effective magneticfield can be concentrated within a region where the effective trappingpotential holds the atoms. The estimated magnetic length can be considerablysmaller than the size of the atomic cloud.Comment: 11 pages, 5 figures Corrected some mistakes in equation

Effective magnetic fields in degenerate atomic gases induced by light beams with orbital angular momenta